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1.
MATH 221 Statistics for Decision Making
Week 2 iLab
Name:_______________________
Statistical Concepts that you will learn after completing this
iLab:
·
Using Excel for Statistics
·
Graphics
·
Shapes of Distributions
·
Descriptive Statistics
·
Empirical Rule
Week 2 iLab Instructions-BEGIN
Ø
Data have already been formatted and entered into an Excel
worksheet.
Ø
Obtain the data file for this lab from your instructor.
Ø
The names of each variable from the survey are in the first row
of the Worksheet. This row has a background color of gray to
identify it as the variable names. All other rows of the
Worksheet represent a certain students’ answers to the survey
questions. Therefore, the rows are called observations and the
columns are called variables. On page 6 of this lab, you will
find a code sheet that identifies the correspondence between the
variable names and the survey questions.
Ø
Follow the directions below and then paste the graphs from
Excel in the grey areas for question 1 through 3. Type your
answers to questions 4 through 11 where noted in the grey
areas. When asked for explanations, please give thorough,
multi-sentence or paragraph length explanations.
Ø
PLEASE NOTE that various versions of Excel may have slightly
different formula commands. For example, some versions use
=STDEV.S while other versions would use =STDEVS (without
the dot before the last “S”).
Ø
The completed iLab Word Document with your responses to the
11 questions will be the ONE and only document submitted to
the dropbox. When saving and submitting the document, you are
required to use the following format: Last Name_ First
Name_Week2iLab.
Week 2 iLab Instructions-END
Creating Graphs
1.
Create a pie
chart for the variable Car Color: Select the column with the Car
variable, including the title of Car Color. Click on
Insert
, and then
Recommended Charts
. It should show a clustered column and click
OK
. Once the chart is shown, right click on the chart (main area)
and select
Change Chart Type
. Select
Pie
and
OK
. Click on the pie slices, right click
Add Data Labels
, and select
Add Data Callouts
. Add an appropriate title.
Copy and paste the chart here. (4 points)
2.
Create a histogram for the variable Height. You need to create a
frequency distribution for the data by hand. Use 5 classes, find
the class width, and then create the classes. Once you have the
classes, count how many data points fall within each class.
It may be helpful to sort the data based on the
Height
variable first. Create a new worksheet in Excel by clicking on
the + along the bottom of the screen and type in the categories
and the frequency for each category. Then select the frequency
table, click on
Insert
, then
Recommended Charts
and choose the column chart shown and click
OK
. Right click on one of the bars and select
Format Data Series
. In the pop up box, change the
Gap Width
to 0. Add an appropriate title and axis label.
Copy and paste the graph here. (4 points)
3.
Type up a stem-and-leaf plot chart in the box below for the
variable Money, with a space between the stems and the group
of leaves in each line. Use the tens value as the stem and the
ones value for the leaves. It may be helpful to sort the data
based on the Money variable first.
An example of a stem-and-leaf plot would look like this:
0
4 5 6 9 3
1
5 6 3 6
2
9 2
The stem-and-leaf plot shown above would be for data 4, 5, 6,
9, 3, 15, 16, 13, 16, 29, and 22. (4 points)
Calculating Descriptive Statistics
4.
Calculate descriptive statistics for the variable Height by
Gender. Click on
Insert
and then
Pivot Table
. Click in the top box and select all the data (including labels)
from
Height
through
Gender
. Also click on “new worksheet” and then
OK
. On the right of the new sheet, click on
Height
and
Gender
, making sure that
Gender
is in the
Rows
box and
Height
is in the
Values
box. Click on the down arrow next to
Height
in the
Values
box and select
Value Field Settings
. In the pop up box, click
Average
then
OK
. Type in the averages below. Then click on the down arrow
next to
Height
in the
Values
box again and select
Value Field Settings
. In the pop up box, click on
StdDev
then
OK
. Type the standard deviations below. (3 points)
Mean
Standard deviation
Females
Males
Short Answer Writing Assignment
All answers should be complete sentences.
5.
What is the most common color of car for students who
participated in this survey? Explain how you arrived at your
answer. (5 points)
What is seen in the histogram created for the heights of students
in this class (include the shape)? Explain your answer. (5
points)
What is seen in the stem and leaf plot for the money variable
(include the shape)? Explain your answer. (5 points)
Compare the mean for the heights of males and the mean for the
heights of females in these data. Compare the values and
explain what can be concluded based on the numbers. (5
points)
Compare the standard deviation for the heights of males and the
standard deviation for the heights of females in the class.
Compare the values and explain what can be concluded based on
the numbers. (5 points)
Using the empirical rule, 95% of female heights should be
between what two values? Either show work or explain how
your answer was calculated. (5 points)
Using the empirical rule, 68% of male heights should be
between what two values? Either show work or explain how
your answer was calculated. (5 points)
Code Sheet
Do
NOT
answer these questions.
The Code Sheet just lists the variables name and the question
used by the researchers on the survey instrument that produced
the data that are included in the data file. This is just
information. The first question for the lab is after the code
sheet.
Variable Name
Question
Drive
Question 1 – How long does it take you to drive to the school
on average (to the nearest minute)?
State
Question 2 – What state/country were you born?
Temp
Question 3 – What is the temperature outside right now?
Rank
Question 4 – Rank all of the courses you are currently taking.
The class you look most forward to taking will be ranked one,
next two, and so on. What is the rank assigned to this class?
Height
Question 5 – What is your height to the nearest inch?
Shoe
Question 6 – What is your shoe size?
Sleep
Question 7 – How many hours did you sleep last night?
Gender
Question 8 – What is your gender?
Race
Question 9 – What is your race?
Car
Question 10 – What color of car do you drive?
TV
Question 11 – How long (on average) do you spend a day
watching TV?
Money
Question 12 – How much money do you have with you right
now?
Coin
Question 13 – Flip a coin 10 times. How many times did you get
tails?
Die1
Question 14 – Roll a six-sided die 10 times and record the
results.
Die2
Die3
Die4
Die5
Die6
Die7
Die8
Die9
Die10

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Statistics Graphs & Descriptive Stats

  • 1. 1. MATH 221 Statistics for Decision Making Week 2 iLab Name:_______________________ Statistical Concepts that you will learn after completing this iLab: · Using Excel for Statistics · Graphics · Shapes of Distributions · Descriptive Statistics · Empirical Rule Week 2 iLab Instructions-BEGIN Ø Data have already been formatted and entered into an Excel worksheet. Ø
  • 2. Obtain the data file for this lab from your instructor. Ø The names of each variable from the survey are in the first row of the Worksheet. This row has a background color of gray to identify it as the variable names. All other rows of the Worksheet represent a certain students’ answers to the survey questions. Therefore, the rows are called observations and the columns are called variables. On page 6 of this lab, you will find a code sheet that identifies the correspondence between the variable names and the survey questions. Ø Follow the directions below and then paste the graphs from Excel in the grey areas for question 1 through 3. Type your answers to questions 4 through 11 where noted in the grey areas. When asked for explanations, please give thorough, multi-sentence or paragraph length explanations. Ø PLEASE NOTE that various versions of Excel may have slightly different formula commands. For example, some versions use =STDEV.S while other versions would use =STDEVS (without the dot before the last “S”). Ø The completed iLab Word Document with your responses to the 11 questions will be the ONE and only document submitted to the dropbox. When saving and submitting the document, you are required to use the following format: Last Name_ First Name_Week2iLab.
  • 3. Week 2 iLab Instructions-END Creating Graphs 1. Create a pie chart for the variable Car Color: Select the column with the Car variable, including the title of Car Color. Click on Insert , and then Recommended Charts . It should show a clustered column and click OK . Once the chart is shown, right click on the chart (main area) and select Change Chart Type . Select Pie and OK . Click on the pie slices, right click Add Data Labels , and select Add Data Callouts . Add an appropriate title. Copy and paste the chart here. (4 points)
  • 4. 2. Create a histogram for the variable Height. You need to create a frequency distribution for the data by hand. Use 5 classes, find the class width, and then create the classes. Once you have the classes, count how many data points fall within each class. It may be helpful to sort the data based on the Height variable first. Create a new worksheet in Excel by clicking on the + along the bottom of the screen and type in the categories and the frequency for each category. Then select the frequency table, click on Insert , then Recommended Charts and choose the column chart shown and click OK . Right click on one of the bars and select Format Data Series . In the pop up box, change the Gap Width to 0. Add an appropriate title and axis label. Copy and paste the graph here. (4 points)
  • 5. 3. Type up a stem-and-leaf plot chart in the box below for the variable Money, with a space between the stems and the group of leaves in each line. Use the tens value as the stem and the ones value for the leaves. It may be helpful to sort the data based on the Money variable first. An example of a stem-and-leaf plot would look like this: 0 4 5 6 9 3 1 5 6 3 6 2 9 2 The stem-and-leaf plot shown above would be for data 4, 5, 6, 9, 3, 15, 16, 13, 16, 29, and 22. (4 points)
  • 6. Calculating Descriptive Statistics 4. Calculate descriptive statistics for the variable Height by Gender. Click on Insert and then Pivot Table . Click in the top box and select all the data (including labels) from Height through Gender . Also click on “new worksheet” and then OK . On the right of the new sheet, click on Height and Gender , making sure that Gender is in the Rows box and Height is in the Values box. Click on the down arrow next to
  • 7. Height in the Values box and select Value Field Settings . In the pop up box, click Average then OK . Type in the averages below. Then click on the down arrow next to Height in the Values box again and select Value Field Settings . In the pop up box, click on StdDev then OK . Type the standard deviations below. (3 points) Mean Standard deviation Females Males
  • 8. Short Answer Writing Assignment All answers should be complete sentences. 5. What is the most common color of car for students who participated in this survey? Explain how you arrived at your answer. (5 points) What is seen in the histogram created for the heights of students in this class (include the shape)? Explain your answer. (5 points) What is seen in the stem and leaf plot for the money variable (include the shape)? Explain your answer. (5 points)
  • 9. Compare the mean for the heights of males and the mean for the heights of females in these data. Compare the values and explain what can be concluded based on the numbers. (5 points) Compare the standard deviation for the heights of males and the standard deviation for the heights of females in the class. Compare the values and explain what can be concluded based on the numbers. (5 points) Using the empirical rule, 95% of female heights should be between what two values? Either show work or explain how your answer was calculated. (5 points)
  • 10. Using the empirical rule, 68% of male heights should be between what two values? Either show work or explain how your answer was calculated. (5 points) Code Sheet Do NOT answer these questions. The Code Sheet just lists the variables name and the question used by the researchers on the survey instrument that produced the data that are included in the data file. This is just information. The first question for the lab is after the code sheet. Variable Name Question Drive Question 1 – How long does it take you to drive to the school on average (to the nearest minute)? State
  • 11. Question 2 – What state/country were you born? Temp Question 3 – What is the temperature outside right now? Rank Question 4 – Rank all of the courses you are currently taking. The class you look most forward to taking will be ranked one, next two, and so on. What is the rank assigned to this class? Height Question 5 – What is your height to the nearest inch? Shoe Question 6 – What is your shoe size? Sleep Question 7 – How many hours did you sleep last night? Gender Question 8 – What is your gender? Race Question 9 – What is your race? Car Question 10 – What color of car do you drive? TV Question 11 – How long (on average) do you spend a day watching TV? Money Question 12 – How much money do you have with you right now? Coin Question 13 – Flip a coin 10 times. How many times did you get tails? Die1 Question 14 – Roll a six-sided die 10 times and record the results. Die2 Die3 Die4 Die5 Die6