Comparative Study
Reviewer:______________________
Author of the Study:__________________
Criteria
Feedback
1. Ask A Question
· Is the question clearly stated?
· Is the population clear?
· Are the variables clearly defined?
2. Collect Data
· Do you understand how this data was gathered?
· Does the author state the potential biases?
· Are there any potential problems with how this data was gathered (that have not been addressed by the researcher)?
3. Analyze the data
· Are the analyses appropriate for the data? Support/Explain.
· Are the analyses labeled and explained? Support/Explain.
· Are any of the representations of the data misleading or potentially misleading? Support/Explain.
· Do you have any questions?
4. Interpret the data
· Has the question been answered?
· Is this interpretation clearly supported by the analysis? Explain.
· Do you have any questions?
5. Reflection
· Has the author reflected on both positive and negative experiences?
· Has he/she commented on surprising or unexpected results/experiences?
· Has he/she considered how to improve the study?
Engineers and swing dancing
Clayton
8/19/2014
The Question:
Are Engineers attracted to Swing Dancing?
In more detail: Is the percentage of swing dance engineers significantly greater than the percentage of non-swing dance engineers
2
Why this question?
It seems like almost everybody at a swing dance is an engineer
Is this because I live in Boston?
I have been a swing dancer for many years, and it has always struck me as odd that there are so many engineers. I am curious to find out if the quantity of engineers at our dances is a result of the dance itself, or a result of high concentration of engineers in the Boston area.
3
My Hypothesis
I believe the percentage of engineers at a swing dance is significantly greater than the percentage engineers in the general populace
I know Boston has a lot of engineers, but I personally think that there is something about swing dancing that attracts them. If my hypothesis is valid, then I will be able to consider “why” they are attracted to swing.
4
The Variables
Whether or not a person is an engineer
Whether or not a person is a swing dancer
The analysis really only requires one variable, whether or not a person is an engineer; however, whether or not a person is a swing dancer is a significant part of reaching a conclusion.
5
Population
The population surveyed is active lindy hoppers in the Boston area
Data for the general population is provided utilizing online sources
It should be noted that there are many forms of swing dance, and I have chosen to just focus on one type, Lindy Hop, due to knowing the scene well and being able to make all of the major dances. Research was done ahead of time to make sure general population statistics were available online
6
Data Collection
Lindy hop data
Data collected over one week at the three major swing dances in the area
Most.
Comparative StudyReviewer______________________Author of .docx
1. Comparative Study
Reviewer:______________________
Author of the Study:__________________
Criteria
Feedback
1. Ask A Question
· Is the question clearly stated?
· Is the population clear?
· Are the variables clearly defined?
2. Collect Data
· Do you understand how this data was gathered?
· Does the author state the potential biases?
· Are there any potential problems with how this data was
gathered (that have not been addressed by the researcher)?
3. Analyze the data
· Are the analyses appropriate for the data? Support/Explain.
· Are the analyses labeled and explained? Support/Explain.
· Are any of the representations of the data misleading or
potentially misleading? Support/Explain.
· Do you have any questions?
4. Interpret the data
· Has the question been answered?
2. · Is this interpretation clearly supported by the analysis?
Explain.
· Do you have any questions?
5. Reflection
· Has the author reflected on both positive and negative
experiences?
· Has he/she commented on surprising or unexpected
results/experiences?
· Has he/she considered how to improve the study?
Engineers and swing dancing
Clayton
8/19/2014
The Question:
Are Engineers attracted to Swing Dancing?
3. In more detail: Is the percentage of swing dance engineers
significantly greater than the percentage of non-swing dance
engineers
2
Why this question?
It seems like almost everybody at a swing dance is an engineer
Is this because I live in Boston?
I have been a swing dancer for many years, and it has always
struck me as odd that there are so many engineers. I am curious
to find out if the quantity of engineers at our dances is a result
of the dance itself, or a result of high concentration of engineers
in the Boston area.
3
My Hypothesis
I believe the percentage of engineers at a swing dance is
significantly greater than the percentage engineers in the
general populace
4. I know Boston has a lot of engineers, but I personally think that
there is something about swing dancing that attracts them. If
my hypothesis is valid, then I will be able to consider “why”
they are attracted to swing.
4
The Variables
Whether or not a person is an engineer
Whether or not a person is a swing dancer
The analysis really only requires one variable, whether or not a
person is an engineer; however, whether or not a person is a
swing dancer is a significant part of reaching a conclusion.
5
Population
The population surveyed is active lindy hoppers in the Boston
area
Data for the general population is provided utilizing online
sources
5. It should be noted that there are many forms of swing dance,
and I have chosen to just focus on one type, Lindy Hop, due to
knowing the scene well and being able to make all of the major
dances. Research was done ahead of time to make sure general
population statistics were available online
6
Data Collection
Lindy hop data
Data collected over one week at the three major swing dances in
the area
Most of the dancers at each dance were surveyed
The survey asked for information about where the participant
lived, what they did for work, as well as some other questions
related to years dancing, education, and gender
Population of the area data
Data collected using a Census search tool that can be found at
http://factfinder2.census.gov/faces/nav/jsf/pages/index.xhtml
Based off 2012 census data
Most of the dancers refers to me going to everybody I could get
to at each dance. I first asked permission, then made sure I had
not already spoken to them. I would venture that I was able to
get to 80%+ people at the first dance, and 95%+ people at the
second two dances. I also asked some other questions that were
unrelated to this project in hopes that I could garner some other
statistical data that might be helpful to know.
7
6. Possible Bias
Not everybody was surveyed at the dances
I only was able to survey people at the dances, missing people
who were not there that week
Only one type of swing dance was covered
Census data was from 2012 (the most current available)
I could not come up with a way to do a random sample while
surveying at the dance, so I decided to go after the whole
population. This lead to some convenience bias’ (mentioned
above). The census data not being current is a form of
measurement bias that was impossible to avoid.
8
Organizing the Data
The survey initially yielded 230 data points, but the places
where the candidates lived were all over the place.
I chose to work with the top seven locations of participants:
Arlington, Boston, Brookline, Cambridge, Medford, Newton,
and Somerville.
This narrowed my data points down to 135, and made it possible
for me to gather necessary data from the US census website.
7. If I had wanted to use all of the locations (including
international), I would have had to gather population statistics
for each of the places listed in response to the survey. Due to
the fact that the study is meant to compare a local swing
population to it’s general population, I decided to only use the
places that had representation of 4 or more participants. It just
so happens that the places used account for a good portion of
the major cities in metro Boston. This does add a caveat to my
results, however, since this is now a test for these cities rather
than all of the Boston area.
9
Testing the Hypothesis
The null Hypothesis (H0) is that the outcomes of the sample
group (the swing dancers) will be relative to that of the general
population (census statistics)
The alternative Hypothesis (HA) is that the outcomes of the
sample group (the swing dancers) will be significantly different
from that of the general population (census statistics)
A Goodness-of-fit Chi-square test will be used to analyze the
data
The level of significance will be: alpha = 0.5%
Due to this not having multiple variables to work with, it is
impossible for me to do a Chi-square test hypothesis test for
independence. I did some research and came across a goodness-
of-fit chi-square test that works with my data. I considered
forcing the test for independence, but realized that it just was
not a good fit.
8. 10
Initial Analysis – Bar Graph
Once I had my data, I used the occupation categorization that
the US Census utilizes to assign the participants into an
occupation group. This graph is a comparison of the swing
populations job distribution compared to the general
populations job distribution. 1300-1560 is the comparison most
related to this study as it includes all engineering job-types.
The bar graph shows a large difference between the two
populations.
11
Goodness-of-fit Chi-Square Test
The p-value is less 0.05%, therefore we can reject H0 and
accept HA
9. 12
Results
Based on the bar graph, we can see that the percentage of
engineers at a swing dance is far greater than the percentage of
engineers in the general population of the cities used in this
test.
Combined with the significant results from the Goodness-of-Fit
Chi-Square test, we can say that my hypothesis is correct: The
percentage of engineers at a swing dance is significantly greater
than the percentage engineers in the general populace!
The statistics are in! We are correct!
13
Reflection
Positive experiences
Discovering an alternate test for my analysis was a huge relief
The conversations I was able to have with curious participants
were wonderful. Most of them are very curious to learn about
my results
Negative experiences
Realizing that the chi-square test for independent variables did
not apply!
Parsing the census data
Surprises!
Additional data provided very interesting information: like19/20
of the engineers in my sample were male
Most of the engineers only have a bachelors, yet I assume they
make twice as much as me
10. I really enjoyed doing this project. The topic has come up so
often between myself and my friends, and now I can say that it
is indeed true, engineers are attracted to swing dancing. There
were some tough parts of putting this together, but I learned a
lot.
14
Moving Forward
I wish I could conduct this study in multiple cities to find out if
the results are similar.
Now I know there is a statistical significance in the amount of
engineers, but that does not explain why.
I think a proper study would also cover the other forms of swing
dance.
I am definitely going to analyze the data for other results as
well that will be useful to the swing scene (How many
newcomers in a week? How educated are swing dancers? What
is the average amount of time a person has been a swing
dancer?)
It is a pity that I can only collect this data for Boston. I am so
curious to find out if it is a product of our city (we do a lot of
recruiting at MIT), or if this is world-wide (dancers from other
11. scenes say they have tons of engineers). If the results in other
cities are similar, then maybe I can start theorizing about why
engineers are attracted to the dance (maybe because it has a
formula… who knows?).
I also look forward to providing information to the leaders of
the swing scene about years people have danced and other
interesting facts.
15
Students / Unemployed / Unable to categorize:0000
Management Occupations:0010-0430
Business and Financial Operations Occupations:0500-0950
Computer and mathematical occupations:1000-1240
Architecture and Engineering Occupations:1300-1560
Life, Physical, and Social Science Occupations:1600-1965
Community and Social Service Occupations:2000-2060
Legal Occupations:2100-2160
Education, Training, and Library Occupations:2200-2550
Arts, Design, Entertainment, Sports, and Media
Occupations:2600-2960
Healthcare Practitioners and Technical Occupations:3000-3540
Healthcare Support Occupations:3600-3655
Protective Service Occupations:3700-3955
Food Preparation and Serving Related Occupations:4000-4160
Building and Grounds Cleaning and Maintenance
Occupations:4200-4250
Personal Care and Service Occupations:4300-4650
Sales and Related Occupations:4700-4965
Office and Administrative Support Occupations:5000-5940
Farming, Fishing, and Forestry Occupations:6005-6130
Construction and Extraction Occupations:6200-6940
Installation, Maintenance, and Repair Occupations:7000-7630
Production Occupations:7700-8965
Transportation Occupations:9000-9420
Material Moving Occupations:9500-9750
Observed
survey
12. outcomes
Probability of
Expected outcome
(based off of
census statistics)
Expected
responses(obs-exp)2 / exp
Yes200.0131.755189.6752279
No1150.987133.2452.498255282
Sum1351135192.1734832
p Value:7.382 x 10^-4
Are you a swing
dancer?
Sheet225Andover1Andover1108Andover2Andover236Arlington
1Arlington150Arlington2Arlington291Arlington3Arlington3125
Arlington4Arlington4126Arlington5Arlington5128Arlington6Ar
lington6186Arlington7Arlington7212Arlington8Arlington8216A
rlington9Arlington9218Arlington10Arlington1010192Barringto
n, NH1Barrington, NH152Berlin, Int1Berlin, Int134Berlin,
MA1Berlin,
MA1167Beverly1Beverly1160Billerica1Billerica12Boston1Bost
on116Boston2Boston221Boston3Boston353Boston4Boston458B
oston5Boston571Boston6Boston681Boston7Boston783Boston8B
oston8112Boston9Boston9113Boston10Boston10130Boston11B
oston11131Boston12Boston12136Boston13Boston13137Boston1
4Boston14155Boston15Boston15158Boston16Boston16159Bost
on17Boston17217Boston18Boston18208Allston1Boston,
Allston1932Brighton1Boston, Brighton2033Brighton2Boston,
Brighton21138Brighton3Boston,
Brighton2248Dorchester1Boston,
Dorchester2361Dorchester2Boston,
Dorchester24203Dorchester3Boston, Dorchester25183East
BostonBoston, East Boston2624Jamaica PlainsBoston,
JP2756Jamaica PlainsBoston, JP28133Jamaica PlainsBoston,
JP29185Jamaica PlainsBoston, JP30214Jamaica PlainsBoston,
JP31219Jamaica PlainsBoston,
16. 55 30 24 11 13 7 8 9 6 5 12 3 4
3 4 11 4 1 1 2 1
DataData #How long have you been a swing dancer?Where do
you currently live?What do you do for work?What was your
highest level of education?If still a student, what are you
studying?What gender do you identify
with?sheet2081AllstonSoftware
EngineerMastersM11251.5AndoverInterior DesignSome
CollegeF21081AndoverTeacherMastersF6364ArlingtonDefense
Contractor /
AerospaceBachelorsScienceM2502ArlingtonStudentHSUndecide
dF3917ArlingtonSpeech Language
PathologistMastersF512515ArlingtonSoftware
EngineerMastersM71262.5ArlingtonProgram Coordinator / Non-
profitBachelorsF712812ArlingtonSoftware
EngineerBachelorsM71866ArlingtonUnemployedBachelorsSoft
ware EngineerM1021216ArlingtonSoftware
EngineerMastersM1121615ArlingtonProfessor /
TeacherPHDM1221816ArlingtonManagement / Education
Content / BusinessMastersF121926Barrington, NHTeacher /
UNH BiochemPHDM10522Berlin, IntDesign Historian /
HumanitiesPHDF33415Berlin, MAChemical
EngineerBachelorsF21672.5BeverlyITSome
GraduateM91607BillericaElectrical
EngineerBachelorsM926BostonAccountantBachelorsM11615Bos
tonBallroom DancerBachelorsM1212BostonTeacher / StudentOn
BachelorsPrintmakingF2539BostonEducator / GuidanceOn
DoctorateM35811BostonResearch
AnalystBachelorsM3714BostonStudentOn
PHDChemistryM4813BostonComputer Science /
ResearcherPHDF5832BostonMechanical
EngineerPHDM51121BostonStudentOn
BachelorsBusinessF61138BostonStudentOn BachelorsMaterial
ScienceM61301BostonSoftware
EngineerBachelorsM71311.5BostonOffice
ManagerBachelorsF71360BostonIndustrial Engineer / Systems
27. Cognitive ScienceF3651SomervilleStudentHSWants to study
Comp SciM47310SomervilleStudentOn
MastersTheologyF41100.0833333333SomervilleStudentOn
PHDPolitical ScienceM6320BrightonStudentOn
DoctorateBiologyF2330BrightonStudentOn
DoctorateBiologyF21385BrightonStudentOn PHDBiomedical
EngineerF71244Jamaica
PlainsTeacherMastersF2273SomervilleTeacherMastersF22307So
mervilleTeacherMastersF12212BostonTeacher / StudentOn
BachelorsPrintmakingF2114SomervilleTherapistPHDF11866Arl
ingtonUnemployedBachelorsSoftware
EngineerM10991CambridgeUnemployedBachelorsFine
ArtF6964MedfordUnemployedSome
CollegeF5806SomervilleWeb DeveloperOn
MastersF517516NewtonWriterMastersF9230.1703703704
Engineers in popArlingtonComputer, engineering, and science
occupations:4,068+/-44469.10%+/-4.830.90%+/-4.892,672+/-
4,19697,170+/-5,45177,668+/-10,672Computer and
mathematical occupations1,985+/-30774.50%+/-5.925.50%+/-
5.997,837+/-6,361103,939+/-9,28591,344+/-12,974Architecture
and engineering occupations904+/-21074.40%+/-11.025.60%+/-
11.087,160+/-12,41395,890+/-4,66783,464+/-24,485Life,
physical, and social science occupations1,179+/-24255.80%+/-
10.844.20%+/-10.874,519+/-14,51089,487+/-19,46659,293+/-
15,762BostonComputer, engineering, and science
occupations:24,202+/-1,19865.40%+/-2.034.60%+/-
2.057,767+/-3,00863,455+/-2,40850,520+/-2,201Computer and
mathematical occupations10,856+/-85572.10%+/-2.927.90%+/-
2.968,416+/-3,27473,614+/-3,44659,130+/-5,784Architecture
and engineering occupations4,598+/-45179.00%+/-4.221.00%+/-
4.264,892+/-4,14368,043+/-5,75849,878+/-15,232Life,
physical, and social science occupations8,748+/-77850.00%+/-
3.550.00%+/-3.545,369+/-1,89944,211+/-3,24445,987+/-
1,810BrooklineComputer, engineering, and science
occupations:5,136+/-45455.50%+/-5.144.50%+/-5.163,548+/-
9,58672,388+/-9,45958,701+/-3,396Computer and mathematical
28. occupations1,789+/-35861.30%+/-9.538.70%+/-9.569,819+/-
8,88773,914+/-21,44362,870+/-13,353Architecture and
engineering occupations671+/-19679.70%+/-9.820.30%+/-
9.886,635+/-19,24481,164+/-26,18091,964+/-10,040Life,
physical, and social science occupations2,676+/-30245.50%+/-
6.454.50%+/-6.454,934+/-9,07761,719+/-21,00851,119+/-
6,488CambridgeComputer, engineering, and science
occupations:11,380+/-69464.00%+/-2.836.00%+/-2.859,710+/-
2,44064,819+/-3,82150,581+/-3,463Computer and mathematical
occupations3,769+/-41580.20%+/-4.619.80%+/-4.677,422+/-
7,69278,333+/-7,82175,650+/-20,056Architecture and
engineering occupations1,892+/-30567.30%+/-7.632.70%+/-
7.667,702+/-7,75774,468+/-7,97254,297+/-11,735Life,
physical, and social science occupations5,719+/-52452.30%+/-
3.647.70%+/-3.648,582+/-3,07050,407+/-3,90046,358+/-
5,677MedfordComputer, engineering, and science
occupations:3,557+/-41873.60%+/-4.926.40%+/-4.969,662+/-
5,54074,773+/-6,20357,409+/-5,353Computer and mathematical
occupations1,614+/-34483.20%+/-5.916.80%+/-5.983,284+/-
9,18684,779+/-9,82256,067+/-33,617Architecture and
engineering occupations1,021+/-20584.20%+/-7.415.80%+/-
7.464,107+/-7,52365,636+/-7,64254,750+/-15,593Life,
physical, and social science occupations922+/-22845.00%+/-
10.655.00%+/-10.664,337+/-8,34573,893+/-19,25158,750+/-
10,246NewtonComputer, engineering, and science
occupations:6,072+/-50465.50%+/-4.134.50%+/-4.190,558+/-
3,876102,566+/-10,16478,108+/-7,793Computer and
mathematical occupations2,723+/-35471.50%+/-5.228.50%+/-
5.295,060+/-6,019104,967+/-5,91884,471+/-9,226Architecture
and engineering occupations1,180+/-20975.30%+/-8.324.70%+/-
8.380,588+/-14,17993,875+/-18,36151,211+/-14,743Life,
physical, and social science occupations2,169+/-30252.50%+/-
6.647.50%+/-6.684,886+/-12,00892,340+/-17,75071,125+/-
19,019SomervilleComputer, engineering, and science
occupations:6,371+/-63762.60%+/-4.137.40%+/-4.161,598+/-
3,91364,167+/-7,29554,611+/-5,075Computer and mathematical
29. occupations2,648+/-42773.80%+/-6.026.20%+/-6.073,341+/-
4,54573,635+/-6,29372,545+/-10,130Architecture and
engineering occupations1,323+/-25367.30%+/-9.732.70%+/-
9.766,099+/-7,04267,976+/-9,87064,915+/-7,115Life, physical,
and social science occupations2,400+/-36347.60%+/-
6.152.40%+/-6.148,438+/-4,53252,038+/-6,80446,426+/-
3,785Total Engineering jobs:11,589
calculationsIs a swing dancerObserved survey
outcomesProbability of Expected outcome (based off of census
statistics)Expected responses(obs-exp)2 / expTotal Population
16+:890080878491Chi-TestYesNoAre you a swing
dancer?Yes200.0131.755189.6752279202Total Engineering
jobs:11589Is an EngineerYes 1.3%20 (1.391)11569
(11571)No1150.987133.2452.4982552816Sample 3 size:135No
98.7%87 (105.609)878403
(878509)Sum1351135192.1734832019Engineers in Sample
3:20889945p Value:7.382 x 10^-4% engineers in
populace0.013020178% engineers in swing
dancing0.148148148111569.285105.609878375.71518.6090.351
-18.609-
0.351248.95390438530.00001064863.27902812260.0000001403
252.23294329682.159 x10^-50
Concise - no studentsdata #yrslocjobedgenderJob
ID364ArlingtonDefense Contractor /
AerospaceBachelorsScienceM0000Unknown0000815714Cambri
dgeGovernmentBachelorsF0000Management, Business,
Science, and Arts Occupations:0010-3540Management,
Business, and Financial Occupations:0010-0950Management
Occupations:0010-043081211CambridgeOwner Bed and
BreakfastBachelorsF0000Business and Financial Operations
Occupations:0500-095051910MedfordStay at home
MomBachelorsF0000Computer, Engineering, and Science
Occupations:1000-1965Computer and mathematical
occupations:1000-1240357SomervilleStub Hub ??? (page
2)BachelorsF0000Architecture and Engineering
Occupations:1300-
30. 1560151866ArlingtonUnemployedBachelorsSoftware
EngineerM0000Life, Physical, and Social Science
Occupations:1600-
196520991CambridgeUnemployedBachelorsFine
ArtF0000Education, Legal, Community Service, Arts, and
Media Occupations:2000-2960Community and Social Service
Occupations:2000-20609964MedfordUnemployedSome
CollegeF0000Legal Occupations:2100-
2160221816ArlingtonManagement / Education Content /
BusinessMastersF0020Education, Training, and Library
Occupations:2200-255031311.5BostonOffice
ManagerBachelorsF0020Arts, Design, Entertainment, Sports,
and Media Occupations:2600-296022222CambridgePublic
Relations / Account ExecutiveBachelorsF0060Healthcare
Practitioners and Technical Occupations:3000-
35409756SomervilleITBachelorsM0110Service
Occupations:3600-4650Healthcare Support Occupations:3600-
365592045CambridgeHR coordinatorBachelorsF0136Protective
Service Occupations:3700-3955020913CambridgeProduct
ManagerPHDF0140Food Preparation and Serving Related
Occupations:4000-416002260.0833333333CambridgeProperty
ManagementMastersF0410Building and Grounds Cleaning and
Maintenance Occupations:4200-425001262.5ArlingtonProgram
Coordinator / Non-profitBachelorsF0430Personal Care and
Service Occupations:4300-46503175CambridgeHuman
Resources / FinanceBachelorsF0630Sales and Office
Occupations:4700-5940Sales and Related Occupations:4700-
496521551BostonBusiness AnalystMastersF0710Office and
Administrative Support Occupations:5000-
594018914SomervilleAnalyst / Marketing
ResearchMastersM0735Natural Resources, Construction, and
Maintenance Occupations:6005-7630Farming, Fishing, and
Forestry Occupations:6005-
6130326BostonAccountantBachelorsM0800Construction and
Extraction Occupations:6200-69400118CambridgeFinancial
ConsultantBachelorsM0850Installation, Maintenance, and
31. Repair Occupations:7000-76300608CambridgeComputer
SciencePHDM10050823CambridgeComputer
SciencePHDM1005Production, Transportation, and Material
Moving Occupations:7700-9750Production Occupations:7700-
89650813BostonComputer Science /
ResearcherPHDF1005Transportation and Material Moving
Occupations:9000-9750Transportation Occupations:9000-
942001330Jamaica PlainsResearcherMastersF1005Material
Moving Occupations:9500-975001000CambridgeData
AnalystBachelorsF1006Military Specific Occupations:9800-
98300781SomervilleData
AnalystBachelorsF10060792.5SomervilleNetwork Performance
Analyst / EducationBachelorsF1006Unemployed, with no work
experience in the last 5 years or earlier or never
worked992012214CambridgeProgrammerBachelorsM10102285S
omervilleContract Software
DeveloperBachelorsM10201705MedfordIBM / Software
DeveloperBachelorsM1020144CambridgeSoftware
DeveloperBachelorsM1020373CambridgeSoftware
DeveloperMastersM1020806SomervilleWeb DeveloperOn
MastersF10305811BostonResearch
AnalystBachelorsM12202190.5Jamaica
PlainsStatisticianPHDF12301900MedfordArchitectMastersM130
0841.5MedfordAerospace
EngineerPHDM13201423CambridgeProcess Engineer /
Chemical EngineerBachelorsM135015410CambridgeComputer
EngineerPHDM1400142SomervilleNetwork
EngineerBachelorsM1400115610CambridgeEngineer /
Environmental ConsultantMastersM142011360BostonIndustrial
Engineer / Systems
EngineerMastersM14301832BostonMechanical
EngineerPHDM14601815CambridgeMechanical
EngineerMastersF146012139SomervilleEngineer / Self
EmployedBachelorsM15301922.5SomervilleIOS / Software
EngineerBachelorsM153012081AllstonSoftware
EngineerMastersM1530112515ArlingtonSoftware
33. AnnouncerBachelorsM2900138BrooklineMDMDF30601011Broo
klineMDMDM30608515CambridgeMD / Medecine /
ResearchPHDF3060917ArlingtonSpeech Language
PathologistMastersF323017611CambridgePsychotherapistPHDF
3245114SomervilleTherapistPHDF32451500BrooklineNurseBac
helorsM32551190SomervilleNurseMastersF32551181Brookline
Ophthalmic Technician /
HealthcareBachelorsF3540514SomervilleStarbucksBachelorsM4
0501420NewtonPizza DeliveryOn
BachelorsSpanishF4060876SomervilleRestaurantBachelorsF411
0562Jamaica PlainsDJBachelorsM44301832East
BostonLogistics / Air Imports / Tour
GuideBachelorsF454014315SomervilleGroup Coordinator /
SalesBachelorsM48401851.5Jamaica
PlainsAdminAssociatesF5700617DorchesterAdmin AssntOn
BachelorsF5700742.5SomervilleAdmin at
UniversityMastersF57001295CambridgeRetiredMastersF992019
Pop totalsPop 16 upArlingtonTotal population42,952+/-
2820,626+/-44822,326+/-44916 years and over81.40%+/-
0.980.50%+/-1.682.30%+/-1.234962.928BostonTotal
population619,662+/-63296,374+/-944323,288+/-94616 years
and over85.20%+/-0.284.20%+/-0.286.00%+/-
0.2527952.024BrooklineTotal population58,634+/-4525,591+/-
74933,043+/-74716 years and over83.80%+/-1.282.20%+/-
1.785.10%+/-1.349135.292CambridgeTotal
population105,026+/-4350,949+/-86354,077+/-86716 years and
over89.00%+/-0.688.30%+/-0.889.60%+/-
1.093473.14MedfordTotal population56,255+/-4026,727+/-
65929,528+/-65516 years and over86.90%+/-0.885.40%+/-
1.388.20%+/-1.148885.595NewtonTotal population85,177+/-
5239,700+/-88745,477+/-89316 years and over80.70%+/-
0.679.90%+/-1.281.40%+/-1.168737.839SomervilleTotal
population75,974+/-3536,957+/-87439,017+/-87216 years and
over88.10%+/-1.187.70%+/-1.488.40%+/-
1.366933.094Total:890080
Chart2
35. Sheet18Students / Unemployed / Unable to
categorize:0000Management Occupations:0010-0430Business
and Financial Operations Occupations:0500-0950Computer and
mathematical occupations:1000-1240Architecture and
Engineering Occupations:1300-1560Life, Physical, and Social
Science Occupations:1600-1965Community and Social Service
Occupations:2000-2060Legal Occupations:2100-2160Education,
Training, and Library Occupations:2200-2550Arts, Design,
Entertainment, Sports, and Media Occupations:2600-
2960Healthcare Practitioners and Technical Occupations:3000-
3540Healthcare Support Occupations:3600-3655Protective
Service Occupations:3700-3955Food Preparation and Serving
Related Occupations:4000-4160Building and Grounds Cleaning
and Maintenance Occupations:4200-4250Personal Care and
Service Occupations:4300-4650Sales and Related
Occupations:4700-4965Office and Administrative Support
Occupations:5000-5940Farming, Fishing, and Forestry
Occupations:6005-6130Construction and Extraction
Occupations:6200-6940Installation, Maintenance, and Repair
Occupations:7000-7630Production Occupations:7700-
8965Transportation Occupations:9000-9420Material Moving
Occupations:9500-9750
Job ChartsSample GroupPopulationSwing %Population
%ArlingtonBostonBrooklineCambridgeMedfordNewtonSomervil
leStudents / Unemployed / Unable to
categorize00003732755127.41%36.80%Management, Business,
Science, and Arts Occupations:0010-3540Management,
Business, and Financial Occupations:0010-0950Management
Occupations:0010-
0430863,4965.93%7.13%39183345544027080357364524616Bus
iness and Financial Operations Occupations:0500-
0950543,7053.70%4.91%15812581732854311208137972833Co
mputer, Engineering, and Science Occupations:1000-
1965Computer and mathematical occupations:1000-
12401525,38411.11%2.85%19851085617893769161427232648
Architecture and Engineering Occupations:1300-
36. 15602011,58914.81%1.30%90445986711892102111801323Life,
Physical, and Social Science Occupations:1600-
1965923,8136.67%2.68%117987482676571992221692400Educa
tion, Legal, Community Service, Arts, and Media
Occupations:2000-2960Community and Social Service
Occupations:2000-
2060313,2972.22%1.49%66979848021307771856908Legal
Occupations:2100-
2160214,4691.48%1.63%4867628130014405082134973Educatio
n, Training, and Library Occupations:2200-
2550951,7616.67%5.82%25642316041059234274350814874Art
s, Design, Entertainment, Sports, and Media Occupations:2600-
2960919,8076.67%2.23%110994431290300881318472297Healt
hcare Practitioners and Technical Occupations:3000-
3540936,1416.67%4.06%14371913540633563178341132047Ser
vice Occupations:3600-4650Healthcare Support
Occupations:3600-
3655012,7160.00%1.43%2679683183866626387704Protective
Service Occupations:3700-
3955011,5400.00%1.30%2778415196731702469750Food
Preparation and Serving Related Occupations:4000-
4160332,4842.22%3.65%627232737162055168512852843Buildi
ng and Grounds Cleaning and Maintenance Occupations:4200-
4250019,4380.00%2.18%229146683216659354602160Personal
Care and Service Occupations:4300-
4650219,7581.48%2.22%53713140700175391310521663Sales
and Office Occupations:4700-5940Sales and Related
Occupations:4700-
4965147,8940.74%5.38%20872984120873881344031613397Off
ice and Administrative Support Occupations:5000-
5940366,5442.22%7.48%26264205023215524463436835706Nat
ural Resources, Construction, and Maintenance
Occupations:6005-7630Farming, Fishing, and Forestry
Occupations:6005-
613004130.00%0.05%023229663083Construction and
Extraction Occupations:6200-
37. 6940013,2910.00%1.49%48786491704719867281800Installatio
n, Maintenance, and Repair Occupations:7000-
763007,1140.00%0.80%5154389141471631380587Production,
Transportation, and Material Moving Occupations:7700-
9750Production Occupations:7700-
8965011,7670.00%1.32%19179971848337417051116Transporta
tion and Material Moving Occupations:9000-9750Transportation
Occupations:9000-
9420010,3050.00%1.16%301770991736578365525Material
Moving Occupations:9500-
975005,8030.00%0.65%91440175237271208520Military
Specific Occupations:9800-983000.00%0.00%135562529890080
ArlingtonSubjectArlington town, Middlesex County,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of ErrorCivilian
employed population 16 years and over24,067+/-67649.80%+/-
1.350.20%+/-1.358,956+/-3,14971,530+/-3,65150,444+/-
3,902Management, business, science, and arts
occupations:15,832+/-67349.60%+/-1.950.40%+/-1.973,875+/-
2,15590,696+/-6,52862,382+/-3,265Management, business, and
financial occupations:5,499+/-48549.10%+/-4.550.90%+/-
4.583,207+/-6,821102,542+/-9,75068,669+/-10,368Management
occupations3,918+/-46146.70%+/-5.453.30%+/-5.487,321+/-
5,421108,004+/-5,44172,216+/-12,065Business and financial
operations occupations1,581+/-27254.80%+/-7.445.20%+/-
7.472,761+/-8,68780,063+/-12,60362,976+/-14,590Computer,
engineering, and science occupations:4,068+/-44469.10%+/-
4.830.90%+/-4.892,672+/-4,19697,170+/-5,45177,668+/-
10,672Computer and mathematical occupations1,985+/-
30774.50%+/-5.925.50%+/-5.997,837+/-6,361103,939+/-
9,28591,344+/-12,974Architecture and engineering
occupations904+/-21074.40%+/-11.025.60%+/-11.087,160+/-
12,41395,890+/-4,66783,464+/-24,485Life, physical, and social
38. science occupations1,179+/-24255.80%+/-10.844.20%+/-
10.874,519+/-14,51089,487+/-19,46659,293+/-15,762Education,
legal, community service, arts, and media occupations:4,828+/-
48442.00%+/-4.558.00%+/-4.555,145+/-6,54667,606+/-
6,88350,756+/-5,405Community and social services
occupations669+/-14812.10%+/-7.187.90%+/-7.151,434+/-
19,67965,592+/-8,54342,000+/-23,603Legal occupations486+/-
13059.10%+/-12.440.90%+/-12.492,167+/-22,761101,625+/-
25,39373,917+/-36,743Education, training, and library
occupations2,564+/-33041.20%+/-6.058.80%+/-6.055,833+/-
9,37775,299+/-8,58450,158+/-7,037Arts, design, entertainment,
sports, and media occupations1,109+/-28654.50%+/-
9.845.50%+/-9.850,202+/-7,14153,125+/-4,41941,920+/-
11,795Healthcare practitioner and technical
occupations:1,437+/-24721.60%+/-8.978.40%+/-8.969,133+/-
8,76487,222+/-57,46467,578+/-11,166Health diagnosing and
treating practitioners and other technical occupations1,153+/-
20923.90%+/-10.376.10%+/-10.374,926+/-7,939105,625+/-
110,53272,843+/-6,617Health technologists and
technicians284+/-11112.30%+/-14.087.70%+/-14.034,038+/-
4,97616,620+/-8,82935,750+/-5,963Service
occupations:1,937+/-28646.20%+/-7.853.80%+/-7.825,284+/-
4,66830,473+/-6,01017,813+/-13,690Healthcare support
occupations267+/-11610.50%+/-13.189.50%+/-13.127,266+/-
15,813-**25,078+/-19,989Protective service occupations:277+/-
11373.60%+/-17.326.40%+/-17.353,780+/-24,18870,816+/-
18,1207,266+/-41,273Fire fighting and prevention, and other
protective service workers including supervisors203+/-
10264.00%+/-20.336.00%+/-20.328,173+/-28,51653,750+/-
9,4507,266+/-41,273Law enforcement workers including
supervisors74+/-57100.00%+/-35.50.00%+/-35.575,625+/-
7,99075,625+/-7,990-**Food preparation and serving related
occupations627+/-17354.90%+/-14.545.10%+/-14.515,640+/-
11,97824,167+/-15,3669,954+/-11,169Building and grounds
cleaning and maintenance occupations229+/-10177.30%+/-
18.422.70%+/-18.422,472+/-13,26432,847+/-27,65222,059+/-
39. 11,366Personal care and service occupations537+/-
16926.30%+/-16.573.70%+/-16.520,809+/-17,19634,904+/-
61,61418,482+/-17,259Sales and office occupations:4,713+/-
46839.20%+/-4.760.80%+/-4.736,428+/-3,74445,219+/-
7,52833,209+/-3,588Sales and related occupations2,087+/-
36653.50%+/-6.846.50%+/-6.841,681+/-16,10957,446+/-
5,42430,000+/-10,178Office and administrative support
occupations2,626+/-32727.80%+/-5.672.20%+/-5.635,308+/-
3,05840,288+/-9,84934,597+/-3,284Natural resources,
construction, and maintenance occupations:1,002+/-
20189.90%+/-7.310.10%+/-7.338,529+/-10,00635,417+/-
11,62660,481+/-47,033Farming, fishing, and forestry
occupations0+/-26-**-**-**-**-**Construction and extraction
occupations487+/-14696.50%+/-5.63.50%+/-5.641,761+/-
8,00942,581+/-10,441-**Installation, maintenance, and repair
occupations515+/-16583.70%+/-13.716.30%+/-13.733,841+/-
17,33133,341+/-14,11662,115+/-46,726Production,
transportation, and material moving occupations:583+/-
16687.30%+/-8.412.70%+/-8.430,515+/-19,01531,838+/-
21,27927,955+/-74,592Production occupations191+/-
10271.20%+/-19.228.80%+/-19.261,098+/-21,02661,061+/-
19,45195,078+/-144,059Transportation occupations301+/-
13896.70%+/-5.33.30%+/-5.322,386+/-19,68325,938+/-
19,2502,500-***Material moving occupations91+/-6190.10%+/-
22.79.90%+/-22.714,583+/-18,83417,500+/-24,809-
**PERCENT
IMPUTEDOccupation6.70%(X)(X)(X)(X)(X)(X)(X)(X)(X)(X)(
X)
BostonSubjectBoston city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of ErrorCivilian
employed population 16 years and over325,271+/-
2,96949.20%+/-0.450.80%+/-0.438,296+/-66741,400+/-
40. 67135,708+/-692Management, business, science, and arts
occupations:150,824+/-2,58145.90%+/-0.754.10%+/-
0.754,945+/-66262,060+/-1,27952,117+/-838Management,
business, and financial occupations:59,272+/-1,56949.10%+/-
1.150.90%+/-1.164,456+/-1,04374,842+/-3,52659,012+/-
1,697Management occupations33,455+/-1,25550.00%+/-
1.550.00%+/-1.568,559+/-2,79378,989+/-2,21361,023+/-
2,120Business and financial operations occupations25,817+/-
1,14147.90%+/-2.052.10%+/-2.061,185+/-2,18767,680+/-
5,28456,663+/-2,266Computer, engineering, and science
occupations:24,202+/-1,19865.40%+/-2.034.60%+/-
2.057,767+/-3,00863,455+/-2,40850,520+/-2,201Computer and
mathematical occupations10,856+/-85572.10%+/-2.927.90%+/-
2.968,416+/-3,27473,614+/-3,44659,130+/-5,784Architecture
and engineering occupations4,598+/-45179.00%+/-4.221.00%+/-
4.264,892+/-4,14368,043+/-5,75849,878+/-15,232Life,
physical, and social science occupations8,748+/-77850.00%+/-
3.550.00%+/-3.545,369+/-1,89944,211+/-3,24445,987+/-
1,810Education, legal, community service, arts, and media
occupations:48,215+/-1,63238.50%+/-1.661.50%+/-
1.642,109+/-1,04643,682+/-1,79041,041+/-1,179Community
and social services occupations7,984+/-72232.40%+/-
3.867.60%+/-3.837,341+/-2,10936,538+/-3,93837,691+/-
2,115Legal occupations7,628+/-65248.00%+/-4.152.00%+/-
4.175,586+/-8,34891,657+/-12,29163,892+/-4,275Education,
training, and library occupations23,160+/-1,31634.60%+/-
2.365.40%+/-2.338,224+/-3,40437,843+/-7,59438,447+/-
3,921Arts, design, entertainment, sports, and media
occupations9,443+/-84545.40%+/-4.054.60%+/-4.040,452+/-
2,22442,348+/-3,86238,686+/-3,206Healthcare practitioner and
technical occupations:19,135+/-1,05230.30%+/-2.369.70%+/-
2.358,087+/-1,85958,981+/-2,82357,558+/-2,293Health
diagnosing and treating practitioners and other technical
occupations13,803+/-87728.80%+/-2.671.20%+/-2.663,875+/-
1,92271,620+/-9,90462,861+/-2,367Health technologists and
technicians5,332+/-58434.10%+/-5.065.90%+/-5.040,349+/-
41. 2,75343,347+/-5,25539,543+/-2,482Service
occupations:69,179+/-2,05148.00%+/-1.452.00%+/-
1.421,457+/-57025,242+/-1,34718,678+/-1,228Healthcare
support occupations9,683+/-74416.90%+/-2.983.10%+/-
2.928,398+/-2,16730,535+/-2,68827,486+/-2,101Protective
service occupations:8,415+/-71177.40%+/-3.722.60%+/-
3.740,521+/-7,45847,500+/-6,61923,363+/-9,591Fire fighting
and prevention, and other protective service workers including
supervisors5,882+/-60075.10%+/-4.524.90%+/-4.526,290+/-
4,06029,915+/-3,31112,491+/-7,006Law enforcement workers
including supervisors2,533+/-41482.80%+/-5.617.20%+/-
5.679,096+/-7,00582,556+/-5,50556,689+/-8,287Food
preparation and serving related occupations23,273+/-
1,51657.90%+/-2.542.10%+/-2.518,521+/-1,66321,179+/-
1,09013,730+/-1,280Building and grounds cleaning and
maintenance occupations14,668+/-94953.60%+/-3.346.40%+/-
3.321,357+/-97726,025+/-2,05817,793+/-1,920Personal care and
service occupations13,140+/-97428.20%+/-2.871.80%+/-
2.816,593+/-1,08619,826+/-2,63615,540+/-1,075Sales and
office occupations:71,891+/-1,93141.20%+/-1.158.80%+/-
1.131,602+/-81034,168+/-1,68830,360+/-984Sales and related
occupations29,841+/-1,38050.20%+/-1.749.80%+/-1.731,827+/-
1,74740,820+/-2,79720,321+/-2,402Office and administrative
support occupations42,050+/-1,48534.70%+/-1.865.30%+/-
1.831,498+/-80329,405+/-3,15332,246+/-970Natural resources,
construction, and maintenance occupations:13,270+/-
91595.50%+/-1.54.50%+/-1.536,315+/-2,19836,673+/-
2,27032,798+/-7,398Farming, fishing, and forestry
occupations232+/-14340.50%+/-30.559.50%+/-30.531,932+/-
12,13940,000+/-27,07324,569+/-17,104Construction and
extraction occupations8,649+/-78396.50%+/-1.53.50%+/-
1.535,067+/-3,37435,316+/-3,06526,288+/-9,994Installation,
maintenance, and repair occupations4,389+/-47296.40%+/-
1.83.60%+/-1.839,824+/-2,46039,438+/-2,41966,250+/-
29,366Production, transportation, and material moving
occupations:20,107+/-1,00975.70%+/-2.024.30%+/-
43. 56539.50%+/-3.460.50%+/-3.456,498+/-6,21681,920+/-
16,88248,154+/-5,218Community and social services
occupations802+/-21128.80%+/-9.571.20%+/-9.547,026+/-
7,67036,741+/-21,67147,392+/-9,571Legal occupations1,300+/-
30151.20%+/-8.548.80%+/-8.5122,586+/-29,719130,000+/-
59,175109,397+/-31,054Education, training, and library
occupations4,105+/-41137.00%+/-4.563.00%+/-4.550,484+/-
7,13286,303+/-13,35439,905+/-7,653Arts, design,
entertainment, sports, and media occupations1,290+/-
26342.50%+/-9.957.50%+/-9.950,903+/-16,06151,429+/-
33,69650,568+/-14,400Healthcare practitioner and technical
occupations:4,063+/-44539.50%+/-4.960.50%+/-4.975,625+/-
12,181117,174+/-40,10566,474+/-3,770Health diagnosing and
treating practitioners and other technical occupations3,613+/-
38540.90%+/-5.259.10%+/-5.284,764+/-15,926142,206+/-
48,41767,520+/-6,984Health technologists and
technicians450+/-13728.90%+/-15.471.10%+/-15.438,700+/-
22,43932,083+/-38,51050,313+/-27,464Service
occupations:2,116+/-36347.20%+/-7.052.80%+/-7.020,906+/-
2,71223,125+/-6,41118,296+/-2,531Healthcare support
occupations183+/-6718.60%+/-16.181.40%+/-16.140,865+/-
20,73067,222+/-429,30629,375+/-13,552Protective service
occupations:196+/-9075.00%+/-19.325.00%+/-19.337,143+/-
23,44053,229+/-25,61327,981+/-45,606Fire fighting and
prevention, and other protective service workers including
supervisors147+/-7076.20%+/-21.123.80%+/-21.127,596+/-
29,98753,542+/-51,4643,750+/-35,463Law enforcement workers
including supervisors49+/-4871.40%+/-43.528.60%+/-
43.546,382+/-63,02947,303+/-111,658-**Food preparation and
serving related occupations716+/-22252.20%+/-12.747.80%+/-
12.718,793+/-8,76920,484+/-13,45617,759+/-12,162Building
and grounds cleaning and maintenance occupations321+/-
13041.70%+/-20.258.30%+/-20.218,094+/-9,28638,750+/-
22,63215,880+/-7,719Personal care and service
occupations700+/-21244.10%+/-14.455.90%+/-14.419,739+/-
4,14721,425+/-9,51217,983+/-5,669Sales and office
44. occupations:4,408+/-55546.00%+/-5.554.00%+/-5.538,214+/-
7,30841,069+/-9,04736,479+/-6,890Sales and related
occupations2,087+/-36856.20%+/-7.543.80%+/-7.550,486+/-
10,73450,772+/-12,01950,000+/-21,717Office and
administrative support occupations2,321+/-41136.80%+/-
8.163.20%+/-8.132,282+/-3,93231,389+/-5,32133,486+/-
6,473Natural resources, construction, and maintenance
occupations:340+/-12789.40%+/-10.210.60%+/-10.227,121+/-
14,30526,742+/-19,13730,781+/-35,271Farming, fishing, and
forestry occupations29+/-3344.80%+/-55.255.20%+/-
55.232,266+/-119,395-**-**Construction and extraction
occupations170+/-7792.40%+/-11.67.60%+/-11.631,591+/-
30,07935,347+/-25,3545,694+/-5,057Installation, maintenance,
and repair occupations141+/-10195.00%+/-10.85.00%+/-
10.825,492+/-17,89325,227+/-11,960-**Production,
transportation, and material moving occupations:350+/-
13046.90%+/-15.853.10%+/-15.832,061+/-2,40434,063+/-
24,97630,417+/-22,072Production occupations184+/-
9925.50%+/-21.474.50%+/-21.432,738+/-2,642150,875+/-
194,15132,530+/-18,092Transportation occupations91+/-
5171.40%+/-29.628.60%+/-29.630,592+/-5,86231,118+/-
3,25621,912+/-47,589Material moving occupations75+/-
5669.30%+/-40.630.70%+/-40.652,656+/-110,28065,588+/-
49,416-**PERCENT
IMPUTEDOccupation6.80%(X)(X)(X)(X)(X)(X)(X)(X)(X)(X)(
X)SubjectBrookline CDP,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of Error
CambridgeSubjectCambridge city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
45. ErrorEstimateMargin of ErrorEstimateMargin of ErrorCivilian
employed population 16 years and over59,552+/-
1,14550.70%+/-1.449.30%+/-1.443,797+/-1,20248,959+/-
2,58440,432+/-1,516Management, business, science, and arts
occupations:41,323+/-1,04552.00%+/-1.348.00%+/-
1.355,305+/-1,46562,061+/-2,54651,211+/-1,668Management,
business, and financial occupations:11,391+/-62249.20%+/-
2.750.80%+/-2.767,538+/-6,17377,466+/-6,01361,004+/-
6,757Management occupations7,080+/-52249.70%+/-
3.350.30%+/-3.374,472+/-3,90980,474+/-7,47665,240+/-
8,114Business and financial operations occupations4,311+/-
43848.50%+/-5.151.50%+/-5.162,988+/-6,77475,119+/-
17,12252,542+/-5,472Computer, engineering, and science
occupations:11,380+/-69464.00%+/-2.836.00%+/-2.859,710+/-
2,44064,819+/-3,82150,581+/-3,463Computer and mathematical
occupations3,769+/-41580.20%+/-4.619.80%+/-4.677,422+/-
7,69278,333+/-7,82175,650+/-20,056Architecture and
engineering occupations1,892+/-30567.30%+/-7.632.70%+/-
7.667,702+/-7,75774,468+/-7,97254,297+/-11,735Life,
physical, and social science occupations5,719+/-52452.30%+/-
3.647.70%+/-3.648,582+/-3,07050,407+/-3,90046,358+/-
5,677Education, legal, community service, arts, and media
occupations:14,989+/-72449.00%+/-2.651.00%+/-2.642,690+/-
2,51445,300+/-5,99541,507+/-2,601Community and social
services occupations1,307+/-21430.80%+/-8.569.20%+/-
8.541,031+/-8,72340,735+/-13,99841,467+/-14,823Legal
occupations1,440+/-23951.40%+/-8.848.60%+/-8.8102,000+/-
45,855100,750+/-55,380103,281+/-65,814Education, training,
and library occupations9,234+/-70451.30%+/-3.448.70%+/-
3.434,983+/-4,62034,926+/-6,73235,028+/-5,011Arts, design,
entertainment, sports, and media occupations3,008+/-
33049.00%+/-5.551.00%+/-5.549,813+/-2,60752,025+/-
6,56347,259+/-5,903Healthcare practitioner and technical
occupations:3,563+/-37234.50%+/-5.065.50%+/-5.064,296+/-
5,27775,130+/-10,48260,741+/-6,085Health diagnosing and
treating practitioners and other technical occupations3,019+/-
46. 34231.30%+/-5.068.70%+/-5.066,870+/-6,411100,990+/-
42,06963,446+/-5,085Health technologists and
technicians544+/-16552.60%+/-13.947.40%+/-13.937,841+/-
6,52049,000+/-21,07931,824+/-6,937Service
occupations:6,070+/-56143.70%+/-5.156.30%+/-5.118,405+/-
2,23418,216+/-3,33318,523+/-2,799Healthcare support
occupations866+/-18716.50%+/-8.083.50%+/-8.026,024+/-
3,01724,583+/-31,06526,107+/-3,288Protective service
occupations:731+/-16263.70%+/-11.536.30%+/-11.526,094+/-
15,73726,438+/-12,47111,125+/-38,916Fire fighting and
prevention, and other protective service workers including
supervisors568+/-15269.70%+/-13.330.30%+/-13.311,512+/-
7,11217,134+/-14,7196,062+/-1,047Law enforcement workers
including supervisors163+/-8042.90%+/-21.057.10%+/-
21.058,950+/-22,41345,000+/-13,84171,705+/-27,142Food
preparation and serving related occupations2,055+/-
34452.80%+/-8.647.20%+/-8.616,296+/-4,72017,970+/-
4,09113,348+/-7,059Building and grounds cleaning and
maintenance occupations665+/-14661.50%+/-10.238.50%+/-
10.219,980+/-4,47120,284+/-9,77519,883+/-4,314Personal care
and service occupations1,753+/-34031.20%+/-7.568.80%+/-
7.514,501+/-2,55514,012+/-3,65915,152+/-3,912Sales and
office occupations:9,405+/-63840.30%+/-3.659.70%+/-
3.626,719+/-4,36031,806+/-5,37622,070+/-2,070Sales and
related occupations3,881+/-37551.60%+/-5.048.40%+/-
5.026,816+/-7,71535,282+/-9,10217,903+/-6,167Office and
administrative support occupations5,524+/-49532.40%+/-
4.267.60%+/-4.226,667+/-5,47330,536+/-5,37924,258+/-
5,166Natural resources, construction, and maintenance
occupations:948+/-24382.90%+/-13.017.10%+/-13.037,202+/-
7,84135,893+/-6,03653,402+/-59,776Farming, fishing, and
forestry occupations6+/-13100.00%+/-100.00.00%+/-
100.02,500-***2,500-***-**Construction and extraction
occupations471+/-14587.50%+/-13.612.50%+/-13.632,841+/-
12,97431,736+/-13,81178,244+/-101,337Installation,
maintenance, and repair occupations471+/-18778.10%+/-
47. 21.521.90%+/-21.542,380+/-10,57141,923+/-6,88052,889+/-
80,444Production, transportation, and material moving
occupations:1,806+/-29883.30%+/-5.416.70%+/-5.423,908+/-
4,48024,918+/-7,81117,143+/-9,922Production
occupations833+/-22778.90%+/-8.221.10%+/-8.225,063+/-
8,67029,271+/-8,72513,000+/-5,528Transportation
occupations736+/-18984.80%+/-7.715.20%+/-7.723,253+/-
5,96323,347+/-6,60122,727+/-16,403Material moving
occupations237+/-10994.10%+/-6.15.90%+/-6.126,146+/-
7,62326,146+/-7,44727,500+/-68,327PERCENT
IMPUTEDOccupation8.40%(X)(X)(X)(X)(X)(X)(X)(X)(X)(X)(
X)SubjectCambridge city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of Error
MedfordSubjectMedford city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of ErrorCivilian
employed population 16 years and over32,034+/-81149.70%+/-
1.650.30%+/-1.643,207+/-1,53749,635+/-2,77237,547+/-
2,474Management, business, science, and arts
occupations:15,829+/-93648.80%+/-2.751.20%+/-2.759,502+/-
2,50966,635+/-3,55352,251+/-2,190Management, business, and
financial occupations:5,654+/-61150.20%+/-4.949.80%+/-
4.964,233+/-6,57669,896+/-8,27558,478+/-9,243Management
occupations3,573+/-47952.90%+/-6.547.10%+/-6.568,594+/-
5,69176,802+/-15,40559,766+/-17,451Business and financial
operations occupations2,081+/-32445.70%+/-7.154.30%+/-
7.158,618+/-7,16259,167+/-10,68658,090+/-8,969Computer,
engineering, and science occupations:3,557+/-41873.60%+/-
4.926.40%+/-4.969,662+/-5,54074,773+/-6,20357,409+/-
48. 5,353Computer and mathematical occupations1,614+/-
34483.20%+/-5.916.80%+/-5.983,284+/-9,18684,779+/-
9,82256,067+/-33,617Architecture and engineering
occupations1,021+/-20584.20%+/-7.415.80%+/-7.464,107+/-
7,52365,636+/-7,64254,750+/-15,593Life, physical, and social
science occupations922+/-22845.00%+/-10.655.00%+/-
10.664,337+/-8,34573,893+/-19,25158,750+/-10,246Education,
legal, community service, arts, and media occupations:4,835+/-
46538.50%+/-4.761.50%+/-4.745,646+/-2,95346,542+/-
5,63944,956+/-5,772Community and social services
occupations771+/-18138.40%+/-14.261.60%+/-14.244,964+/-
6,67544,315+/-20,48146,536+/-7,373Legal occupations508+/-
14831.30%+/-13.668.70%+/-13.663,735+/-13,68591,597+/-
72,10863,117+/-9,641Education, training, and library
occupations2,743+/-36332.00%+/-5.068.00%+/-5.041,294+/-
5,77143,682+/-5,02239,545+/-8,668Arts, design, entertainment,
sports, and media occupations813+/-22665.10%+/-
12.834.90%+/-12.844,347+/-11,17156,953+/-17,97335,526+/-
17,318Healthcare practitioner and technical
occupations:1,783+/-32522.40%+/-7.777.60%+/-7.754,790+/-
9,58564,500+/-18,40754,278+/-5,670Health diagnosing and
treating practitioners and other technical occupations1,132+/-
24419.70%+/-7.880.30%+/-7.867,917+/-12,96782,279+/-
18,88864,441+/-14,968Health technologists and
technicians651+/-21227.20%+/-16.172.80%+/-16.137,983+/-
11,11447,896+/-21,13637,464+/-9,864Service
occupations:4,861+/-55846.60%+/-5.153.40%+/-5.122,093+/-
4,04030,703+/-4,12117,151+/-7,645Healthcare support
occupations626+/-24432.90%+/-11.767.10%+/-11.736,154+/-
9,54154,306+/-20,36930,227+/-11,007Protective service
occupations:702+/-17080.50%+/-11.819.50%+/-11.843,017+/-
16,85050,038+/-11,82620,509+/-15,044Fire fighting and
prevention, and other protective service workers including
supervisors524+/-15276.10%+/-14.623.90%+/-14.629,214+/-
15,07140,583+/-26,70514,948+/-16,857Law enforcement
workers including supervisors178+/-7893.30%+/-10.76.70%+/-
49. 10.756,833+/-51,56055,833+/-45,345-**Food preparation and
serving related occupations1,685+/-36645.90%+/-8.954.10%+/-
8.917,250+/-6,65919,421+/-10,57811,865+/-8,773Building and
grounds cleaning and maintenance occupations935+/-
24254.40%+/-13.845.60%+/-13.820,719+/-5,75131,440+/-
10,09113,050+/-2,513Personal care and service
occupations913+/-22723.40%+/-10.676.60%+/-10.620,563+/-
5,46430,625+/-13,34916,065+/-9,321Sales and office
occupations:8,074+/-65736.90%+/-3.663.10%+/-3.635,000+/-
3,68840,028+/-4,02433,120+/-3,041Sales and related
occupations3,440+/-47145.40%+/-6.654.60%+/-6.631,570+/-
8,12940,252+/-6,02826,942+/-5,649Office and administrative
support occupations4,634+/-43530.60%+/-3.969.40%+/-
3.936,437+/-3,28739,674+/-8,06635,152+/-2,798Natural
resources, construction, and maintenance occupations:1,680+/-
27199.50%+/-0.80.50%+/-0.842,984+/-4,97442,823+/-4,939-
**Farming, fishing, and forestry occupations63+/-63100.00%+/-
38.80.00%+/-38.815,313+/-14,11815,313+/-14,118-
**Construction and extraction occupations986+/-22599.20%+/-
1.30.80%+/-1.339,700+/-11,66939,300+/-11,899-**Installation,
maintenance, and repair occupations631+/-173100.00%+/-
5.40.00%+/-5.446,830+/-7,26446,830+/-7,264-**Production,
transportation, and material moving occupations:1,590+/-
33280.40%+/-6.419.60%+/-6.427,042+/-4,21626,821+/-
3,97630,181+/-7,534Production occupations741+/-
20167.70%+/-9.432.30%+/-9.432,520+/-2,77835,549+/-
7,29530,302+/-6,807Transportation occupations578+/-
19097.60%+/-4.62.40%+/-4.625,904+/-3,25626,090+/-2,455-
**Material moving occupations271+/-13478.60%+/-
18.921.40%+/-18.920,536+/-8,72917,138+/-8,89535,303+/-
19,182PERCENT
IMPUTEDOccupation7.80%(X)(X)(X)(X)(X)(X)(X)(X)(X)(X)(
X)SubjectMedford city, MassachusettsTotalMaleFemaleMedian
earnings (dollars)Median earnings (dollars) for maleMedian
earnings (dollars) for femaleEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
50. ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of Error
NewtonSubjectNewton city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of ErrorCivilian
employed population 16 years and over43,235+/-89051.30%+/-
0.948.70%+/-0.961,570+/-1,91681,250+/-4,01948,149+/-
3,307Management, business, science, and arts
occupations:30,352+/-87252.00%+/-1.448.00%+/-1.482,164+/-
2,995106,874+/-2,30162,811+/-2,989Management, business, and
financial occupations:10,249+/-60557.20%+/-2.642.80%+/-
2.6102,328+/-5,790125,162+/-7,52177,411+/-4,696Management
occupations6,452+/-47660.50%+/-3.739.50%+/-3.7107,017+/-
4,569125,443+/-7,85787,805+/-10,686Business and financial
operations occupations3,797+/-40651.60%+/-4.648.40%+/-
4.687,454+/-7,515124,239+/-20,37564,680+/-7,991Computer,
engineering, and science occupations:6,072+/-50465.50%+/-
4.134.50%+/-4.190,558+/-3,876102,566+/-10,16478,108+/-
7,793Computer and mathematical occupations2,723+/-
35471.50%+/-5.228.50%+/-5.295,060+/-6,019104,967+/-
5,91884,471+/-9,226Architecture and engineering
occupations1,180+/-20975.30%+/-8.324.70%+/-8.380,588+/-
14,17993,875+/-18,36151,211+/-14,743Life, physical, and
social science occupations2,169+/-30252.50%+/-6.647.50%+/-
6.684,886+/-12,00892,340+/-17,75071,125+/-19,019Education,
legal, community service, arts, and media occupations:9,918+/-
69441.60%+/-2.958.40%+/-2.955,124+/-3,77471,310+/-
11,08143,821+/-8,593Community and social services
occupations856+/-18530.10%+/-12.269.90%+/-12.242,872+/-
8,24637,361+/-10,33746,786+/-11,238Legal
occupations2,134+/-27656.50%+/-5.743.50%+/-5.7119,397+/-
26,596163,173+/-42,48891,339+/-27,209Education, training,
and library occupations5,081+/-50134.20%+/-4.565.80%+/-
51. 4.541,234+/-8,92462,880+/-11,11735,276+/-6,199Arts, design,
entertainment, sports, and media occupations1,847+/-
25949.90%+/-6.550.10%+/-6.548,867+/-13,64256,473+/-
14,78631,917+/-14,485Healthcare practitioner and technical
occupations:4,113+/-40844.40%+/-4.155.60%+/-4.1107,538+/-
16,194187,837+/-28,79678,036+/-12,376Health diagnosing and
treating practitioners and other technical occupations3,581+/-
36547.30%+/-4.852.70%+/-4.8127,780+/-11,877201,845+/-
15,91195,694+/-13,550Health technologists and
technicians532+/-16325.00%+/-11.675.00%+/-11.636,897+/-
8,57138,625+/-7,39436,063+/-15,558Service
occupations:3,653+/-49139.70%+/-5.160.30%+/-5.121,268+/-
3,16532,922+/-6,74915,522+/-5,551Healthcare support
occupations387+/-1706.50%+/-6.493.50%+/-6.431,594+/-
5,48631,964+/-373,09231,515+/-7,195Protective service
occupations:469+/-14765.50%+/-15.234.50%+/-15.229,375+/-
20,09647,679+/-12,8895,484+/-13,593Fire fighting and
prevention, and other protective service workers including
supervisors373+/-13660.10%+/-17.639.90%+/-17.624,911+/-
23,99333,750+/-27,4024,960+/-8,122Law enforcement workers
including supervisors96+/-5886.50%+/-18.013.50%+/-
18.062,083+/-27,46662,031+/-26,51787,679+/-102,554Food
preparation and serving related occupations1,285+/-
23637.50%+/-9.662.50%+/-9.616,205+/-5,35825,946+/-
7,9439,950+/-7,246Building and grounds cleaning and
maintenance occupations460+/-17581.30%+/-11.918.70%+/-
11.934,543+/-8,07938,421+/-13,60314,318+/-40,172Personal
care and service occupations1,052+/-23824.90%+/-
9.275.10%+/-9.215,521+/-9,85321,164+/-5,66911,458+/-
8,890Sales and office occupations:6,844+/-50343.30%+/-
3.656.70%+/-3.630,773+/-3,18935,181+/-7,83428,549+/-
5,854Sales and related occupations3,161+/-37158.50%+/-
5.541.50%+/-5.540,959+/-14,52350,799+/-10,00924,549+/-
13,319Office and administrative support occupations3,683+/-
40030.40%+/-4.869.60%+/-4.827,835+/-5,72022,448+/-
8,68829,017+/-5,367Natural resources, construction, and
52. maintenance occupations:1,108+/-20893.60%+/-5.36.40%+/-
5.352,931+/-15,23055,224+/-11,10319,669+/-32,172Farming,
fishing, and forestry occupations0+/-29-**-**-**-**-
**Construction and extraction occupations728+/-16499.20%+/-
1.70.80%+/-1.760,070+/-10,51460,176+/-9,6382,500-
***Installation, maintenance, and repair occupations380+/-
12482.90%+/-13.617.10%+/-13.638,488+/-10,55539,448+/-
15,32019,890+/-37,784Production, transportation, and material
moving occupations:1,278+/-32573.40%+/-8.026.60%+/-
8.022,420+/-5,71126,500+/-12,08621,408+/-3,010Production
occupations705+/-22165.40%+/-13.334.60%+/-13.322,440+/-
3,99723,657+/-10,87822,040+/-2,702Transportation
occupations365+/-12894.80%+/-5.95.20%+/-5.931,114+/-
7,65831,091+/-8,39950,125+/-46,162Material moving
occupations208+/-8963.00%+/-25.537.00%+/-25.512,697+/-
7,13812,014+/-45,79312,928+/-13,290PERCENT
IMPUTEDOccupation6.20%(X)(X)(X)(X)(X)(X)(X)(X)(X)(X)(
X)SubjectNewton city, MassachusettsTotalMaleFemaleMedian
earnings (dollars)Median earnings (dollars) for maleMedian
earnings (dollars) for femaleEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of Error
SomervilleSubjectSomerville city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of ErrorCivilian
employed population 16 years and over46,773+/-
1,22649.30%+/-1.650.70%+/-1.638,941+/-1,45440,890+/-
1,33536,813+/-2,078Management, business, science, and arts
occupations:24,919+/-1,19147.30%+/-2.352.70%+/-
2.350,619+/-1,64654,177+/-2,39648,237+/-1,554Management,
business, and financial occupations:7,449+/-61447.20%+/-
3.452.80%+/-3.453,907+/-1,89461,378+/-4,30051,037+/-
53. 1,611Management occupations4,616+/-49050.30%+/-
4.749.70%+/-4.754,604+/-2,42359,542+/-8,89752,726+/-
2,586Business and financial operations occupations2,833+/-
41942.20%+/-7.257.80%+/-7.252,395+/-3,66661,747+/-
4,84149,537+/-2,523Computer, engineering, and science
occupations:6,371+/-63762.60%+/-4.137.40%+/-4.161,598+/-
3,91364,167+/-7,29554,611+/-5,075Computer and mathematical
occupations2,648+/-42773.80%+/-6.026.20%+/-6.073,341+/-
4,54573,635+/-6,29372,545+/-10,130Architecture and
engineering occupations1,323+/-25367.30%+/-9.732.70%+/-
9.766,099+/-7,04267,976+/-9,87064,915+/-7,115Life, physical,
and social science occupations2,400+/-36347.60%+/-
6.152.40%+/-6.148,438+/-4,53252,038+/-6,80446,426+/-
3,785Education, legal, community service, arts, and media
occupations:9,052+/-65639.70%+/-4.260.30%+/-4.240,288+/-
2,52142,038+/-3,98039,352+/-2,447Community and social
services occupations908+/-20228.70%+/-9.071.30%+/-
9.037,965+/-5,44436,901+/-8,42539,073+/-7,581Legal
occupations973+/-22554.00%+/-10.846.00%+/-10.856,161+/-
10,40660,923+/-25,34055,238+/-11,638Education, training, and
library occupations4,874+/-46138.20%+/-5.961.80%+/-
5.939,892+/-4,97242,628+/-5,81037,847+/-4,935Arts, design,
entertainment, sports, and media occupations2,297+/-
34741.10%+/-6.858.90%+/-6.839,264+/-2,64540,290+/-
10,70139,133+/-4,102Healthcare practitioner and technical
occupations:2,047+/-37133.40%+/-7.266.60%+/-7.255,185+/-
4,59053,036+/-6,75156,733+/-11,626Health diagnosing and
treating practitioners and other technical occupations1,372+/-
25630.70%+/-8.169.30%+/-8.162,630+/-7,37062,250+/-
9,37262,776+/-9,871Health technologists and technicians675+/-
21639.00%+/-14.261.00%+/-14.240,231+/-5,61337,043+/-
5,31641,591+/-13,568Service occupations:8,120+/-
76442.30%+/-4.757.70%+/-4.721,588+/-1,08127,591+/-
5,32419,555+/-1,676Healthcare support occupations704+/-
19912.90%+/-9.787.10%+/-9.721,694+/-5,57434,659+/-
52,20420,927+/-5,239Protective service occupations:750+/-
54. 21167.30%+/-11.932.70%+/-11.943,527+/-11,08143,210+/-
8,53744,688+/-31,312Fire fighting and prevention, and other
protective service workers including supervisors504+/-
14971.00%+/-13.729.00%+/-13.730,147+/-11,62730,250+/-
21,25030,122+/-19,530Law enforcement workers including
supervisors246+/-15259.80%+/-21.240.20%+/-21.260,256+/-
8,69460,224+/-12,04265,038+/-18,425Food preparation and
serving related occupations2,843+/-48949.90%+/-7.950.10%+/-
7.920,116+/-1,78123,276+/-6,09417,531+/-2,292Building and
grounds cleaning and maintenance occupations2,160+/-
34342.80%+/-9.257.20%+/-9.223,595+/-4,31930,809+/-
4,53320,600+/-3,127Personal care and service
occupations1,663+/-26629.80%+/-9.270.20%+/-9.220,217+/-
2,74021,355+/-4,61718,295+/-5,741Sales and office
occupations:9,103+/-81942.60%+/-3.757.40%+/-3.730,990+/-
2,00731,528+/-2,49030,229+/-3,316Sales and related
occupations3,397+/-47456.70%+/-5.643.30%+/-5.626,979+/-
3,41731,084+/-8,18219,806+/-6,240Office and administrative
support occupations5,706+/-62634.20%+/-4.565.80%+/-
4.532,968+/-2,89231,781+/-2,93534,116+/-3,419Natural
resources, construction, and maintenance occupations:2,470+/-
37994.10%+/-3.85.90%+/-3.830,202+/-4,36030,444+/-
3,34917,143+/-13,231Farming, fishing, and forestry
occupations83+/-13266.30%+/-5.133.70%+/-5.19,386+/-142-**-
**Construction and extraction occupations1,800+/-
38693.80%+/-4.66.20%+/-4.627,338+/-6,27928,603+/-
5,67018,750+/-18,809Installation, maintenance, and repair
occupations587+/-15898.80%+/-2.21.20%+/-2.238,520+/-
7,93438,289+/-8,064-**Production, transportation, and material
moving occupations:2,161+/-35675.60%+/-7.124.40%+/-
7.125,686+/-2,66526,968+/-4,54818,824+/-4,542Production
occupations1,116+/-23567.90%+/-8.332.10%+/-8.326,000+/-
4,29029,333+/-8,39119,902+/-6,401Transportation
occupations525+/-16893.10%+/-8.96.90%+/-8.927,099+/-
25,37527,335+/-28,75916,957+/-79,007Material moving
occupations520+/-19274.20%+/-18.125.80%+/-18.116,806+/-
55. 15,01521,944+/-13,8519,244+/-16,649PERCENT
IMPUTEDOccupation10.20%(X)(X)(X)(X)(X)(X)(X)(X)(X)(X)(
X)SubjectSomerville city,
MassachusettsTotalMaleFemaleMedian earnings
(dollars)Median earnings (dollars) for maleMedian earnings
(dollars) for femaleEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of
ErrorEstimateMargin of ErrorEstimateMargin of Error
SECTION 1
REPLIES TO PAM, MEGHAN, STACY : Engage in a
meaningful discussion of the student’s understanding and the
pedagogical approaches for each situation. You might also make
connections to your own teaching. Would you expect a similar
response from your own students? If not, why not? Have you
experienced similar questions in your own classroom? If so,
how have you handled them.
pam
Student 1--
Problem D2 showed two box plots, one for the boys’ heights
and the other for the girls’ heights.
In Problem D2, Monique stated that: "It looks like just 12.5% of
the boys are taller than all of the girls, and maybe about 10% of
the girls are shorter than the shortest boy." That was not a
correct interpretation of the box plot. 12.5% is half of 25%, so
Monique might have got that value from an understanding that
box plots can be broken into four groups of 25% of the data. I
think the 10% value was an estimate. The difference between
the shortest and tallest student was 14 inches. The difference
between the shortest boy and shortest girl was 2 inches. The
ration of 2 to 14 is not the same as 1/10, but I wonder if the
height values are what she used to estimate.
My next instructional move would be to ask Monique how she
came up with the value of 12.5%. I would find out if Monique
56. knew how the box plots were created and how to interpret the
results. I would provide Monique with the boys’ raw data or
have her create the data set from the dot plot. I would ask
Monique to tell me what a box plot represents and what the
different parts mean. I would ask her to show me how to find
the five-number summary, all the while scaffolding any parts
she needs help with. Finally, I would ask her to compare the
data set broken into four groups to the boys box plot and I
would ask if her thoughts on the boys’ data changed and how. I
would also ask her how she came up with the 10% value and
possibly have her redo the steps with the girls’ data.
Student 2
In Problem D2, Arketa stated that: "There is a lot of overlap in
heights between the boys and girls." That is a true statement,
but it is very broad. Is Arketa talking in terms of the middle
50% of the data or the full range of the data?
My next instructional move would be to ask Arketa for more
information. Where does the data overlap? How does it
overlap? Why is it significant? Is the overlap of the boxes the
same as the overlap of the whiskers? Why or why not? What
does that mean?
--Meghan
I looked at the K-2 strand. In this strand there were many
student obsevations about the data they collected. Below are the
two reponses I chose to discuss.
Sahar: "I think there will be between 32 and 38 raisins in that
[unopened] box because most of our boxes had between 32 and
38."
This student clearly understands the idea of using what they
observed to help make a prediction. Thes student was able to
look at where the data was "clumped" to help understand that
most of the boxes they opened had this number of raisins. My
next step with this student might be having them try to find the
57. median. This would help the student to find that middle value
so that maybe they could use one value to make a prediction
rather than a range of calues.
Isaiah:
"Look at that gap with the blue dots -- and there aren't any gaps
on the green dots."
This student is looking at the data and definitely comparing two
different graphs. This student had a more observant response
than some of the other classmates because they were more fixed
on the vertical aspects of the data while this student also looked
at the spread. My next step for this student would be to get
them using the correct vocabulary. Have the student use spread,
and outlier to talk about this data.
Stacy…..
Hi All,
I teach second grade so I looked at the data and case study for
the K-2 interval. My observations about the studnets are
included below.
Sahar and Paul- Mr. Mitchell’s Class
Sahar: "I think there will be between 32 and 38 raisins in that
[unopened] box because most of our boxes had between 32 and
38."
Paul: “I think there will be 34 raisins in that [unopened] box,
because 34 had the most."
I think these two students demonstrate an understanding of
central tendencies and ‘typical’ values when they make
predictions about how many raisins would be in an unopened
box. The idea of the mode being the value that appears most
often is evident in Paul’s response and the idea of most of the
data being contained in a cluster is evident in Sahar’s response.
Both students accurately use these measures to make predictions
about the unopened box of raisins.
Since these students seem to have a good understanding of how
to interpret the data and identify ‘typical’ values the next step
would be to assign statistical vocabulary such as ‘mode’ and
‘cluster’ to the concepts that each student highlights.
58. Additionally, I may present these students with a data set that
appears to be bimodal (maybe the second pocket data line plot)
to see how they use what they know about modes and clusters to
identify ‘typical’ values.
Ramel: Mr. Mitchell’s class
Ramel: "The range is from 25 to 43."
From this statement it is clear that Ramel has a
misunderstanding relating to the meaning of the vocabulary
word ‘range.’ His statement indicates that he considers the
range to be the distance between the smallest and largest
number represented on the axis of the line plot rather than the
distance between the smallest and largest VALUE represented
on the line plot. He does however have a foundation for
understanding the range as he understands that it encompasses
the distance between two values; namely the smallest and
largest.
The next step for Ramel would be to review the meaning of the
term ‘range’ and how it is found. His current statement has
simply identified the interval for the range, he has not actually
calculated the range (difference between the largest and
smallest value). I may give him a few examples of the range,
then have him work with a buddy to find the range on his own
with other data sets and then return to the raisin data and ask
him “after reviewing the term range can you revise your
statement about the range of the raisin data?” This way he will
be able to see and correct the error he made previously.
SECTION 2
REPLIES TO #1,2,3,4: Make strong connections between the
course and your practice. Take this opportunity to wrap it up
together, in a nice bundle you can walk away with!
1. BRING IT BACK---RICHARD
I am going to write this as if I were meeting with my 7th grade
teaching peers. We really work well together and enjoy
59. bouncing ideas off each other.
While much of this course dealt with concepts above our
students expected knowledge level. I am going to address the
parts that I would expect them to know or be able to learn. This
course started with a review of measures of central tendency.
This is more of a 5th/6th grade standard in Massachusetts, but it
is important to review these concepts to ensure understanding. I
am constantly surprised at how much students forget over the
summer. It is important for students to be able to create and
analyze multiple representations of data in the form of bar
graphs, histograms, box plots, scatter plots, and frequency
tables. In addition, using technology to create these
representations will allow more time thinking about the meaning
instead of the creation of these models.
Once these models are created, students need to be able to
identify and quantify the spread. Specific application to our
grade level would include IQR and MAD. Standard deviation is
something they will calculate in high school, but it is important
to know what they will be learning in years to come. If the
opportunity presents itself, we can expose them to this concept.
One other concept that applies indirectly to our grade level is
probability. In this course, we looked at probability through the
Empirical Rule. This could tie together probability and even
solving equations. I would not expect them to understand the
Empirical Rule, but they should be able to find probabilities
from given standard deviations. I would envision this as an
enrichment activity because of the attention to detail needed to
solve these problems.
Also as enrichment, we could discuss bivariate data. This is a
major concept in statistics and probability in the 8th grade
curriculum. It can be an extension of representing proportional
relationships in a graph, table, or equation. It would be an
opportunity for them to see that in the real world, data doesn’t
always fall exactly into an equation and we have to apply the
line of best fit.
There are two specific parts of this course that I would present
60. to my colleagues. The data set and questions on How Do
Students Value Statistics is a rich activity with specific
application to 7th grade. I also really enjoyed all the
Annenburg segments. They are well developed and lead
students through the discovery process. Ultimately this is a
better way for students to learn.
2. RANDALL
There is so much that I have learned in this class. Statistics are
part of everyday life and for you to get the most out of the data
that is given to each and every one of us it is imperative that we
know how to read and interpret the data. Data can be
manipulated so that whatever the entity that is presenting the
data can make it look so that the data will support whatever
agenda that entity has. Knowing the difference between the
mean of a set of data and the median of the set of data can make
all the difference in the world on the interpretation of that data.
Knowing the Empirical Rule makes it very easy to predict the
probability of an event occurring. Standard deviation allows
one to see which data is truly important and which data doesn’t
have an effect on the process. Just today in my Algebra 2 class
we are taking data, making a scatter plot, finding the trend line,
the equation of the trend line and the correlation coefficient. I
am doing all of this on the TI -84 Plus calculator and the
students are amazed at the results they are getting. I have
already, on the third day of school, used what I have learned in
this class and I am much better prepared to explain any
questions that the students have. I would recommend this class
to any math teacher in the secondary level so that he/she can
become a better teacher and prepare our students today to life
tomorrow.
3. PAM
This course has shown me how critical it is for students, and
adults, to understand how to interpret and how to use statistics
in everyday life. The statistics strand in math is one that we
encounter and apply on a regular basis.
61. There are many things from this course that I can bring back to
my classroom. Things that come immediately to mind (in no
particular order) are vocabulary, how statistics fit into the
common core standards, activities and applets used in this
course, the meaning of center in a data set and using a project to
apply the concepts we learned.
All of the vocabulary that we learned during the first week
seemed overwhelming. I could not tell the difference between a
variable and an observational unit. As the weeks went on, the
new words became part of my own vocabulary. Our students
benefit from exposure to math vocabulary on a constant basis.
Another thing that I will bring back to my practice are the
newfangled ways to say box and whisker plot (box plot), stem
and leaf diagram (stem plot) and line plot (dot plot). I noticed
the newer versions of those terms as I went through the common
core standards for the grades below and above mine, so now is
the time to use them!
Some of the Annenberg activities (such as having students use
the number of people each lives with to create a data set for
summarizing and graphing), and applets, are pertinent for
teaching statistics in 7th and 8th grades. In 7th grade we work
with measures of central tendency and measures of variation
(MAD, in particular) and in 8th grade we use bivariate data to
create scatter plots and find the line of best fit (an
approximation, only). Some of the applets show how to cut to
the chase, so to speak.
I can also use ideas from the NCTM articles we read. Finding a
balancing point in a data set might help my 7th graders be able
to put mean, median and mode into context. Using the
previously mentioned family size data to help students
understand how distribution works can lead into our unit on
MAD, as it did in the article.