3. Chapter 1:
Exploring Data
Section 1.1 Tables and Graphs
4. Essential Question:
5. Essential Question:
What do we need to consider when
reading a table?
6. Vocabulary
7. Vocabulary
Statistics:
8. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
9. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
Data:
10. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
Data: information that is collected
11. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
Data: information that is collected
Variable:
12. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
Data: information that is collected
Variable: a certain characteristic of a person or thing that is
being examined
13. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
Data: information that is collected
Variable: a certain characteristic of a person or thing that is
being examined
Population:
14. Vocabulary
Statistics: branch of math; collection, organizing, analysis,
and interpretation of information
Data: information that is collected
Variable: a certain characteristic of a person or thing that is
being examined
Population: the set of ALL individuals or objects you want
to study
15. Sample:
16. Sample: the part ACTUALLY studied (a subset of the population)
17. Sample: the part ACTUALLY studied (a subset of the population)
Survey:
18. Sample: the part ACTUALLY studied (a subset of the population)
Survey: gathering facts or opinions through an interview
or questionnaire
19. Sample: the part ACTUALLY studied (a subset of the population)
Survey: gathering facts or opinions through an interview
or questionnaire
Census:
20. Sample: the part ACTUALLY studied (a subset of the population)
Survey: gathering facts or opinions through an interview
or questionnaire
Census: survey of the entire population
(U.S. Census - every 10 years
21. Sample: the part ACTUALLY studied (a subset of the population)
Survey: gathering facts or opinions through an interview
or questionnaire
Census: survey of the entire population
(U.S. Census - every 10 years
Random Sampling:
22. Sample: the part ACTUALLY studied (a subset of the population)
Survey: gathering facts or opinions through an interview
or questionnaire
Census: survey of the entire population
(U.S. Census - every 10 years
Random Sampling: every member of the population has
an equal chance of being chosen
23. Example 1
24. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
25. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable:
26. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable:
Population:
27. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable:
Population:
Sample:
28. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable: (ask: what is being studied?)
Population:
Sample:
29. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable: (ask: what is being studied?)
the condition of the growth
Population:
Sample:
30. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable: (ask: what is being studied?)
the condition of the growth
Population: entire suspicious growth
Sample:
31. Example 1
A physician takes a biopsy of a suspicious growth to check for
malignancy. Identify the variable, population, and sample.
Variable: (ask: what is being studied?)
the condition of the growth
Population: entire suspicious growth
Sample: small proportion taken for the biopsy
32. When reading a table...
1. What is being presented?
2. Is the data trustworthy?
3. What conclusions can you draw from the data?
33. When reading a table...
1. What is being presented?
Be aware of what you are looking at
2. Is the data trustworthy?
3. What conclusions can you draw from the data?
34. When reading a table...
1. What is being presented?
Be aware of what you are looking at
2. Is the data trustworthy?
Consider the data source, accuracy of data,
and time when data was collected
3. What conclusions can you draw from the data?
35. When reading a table...
1. What is being presented?
Be aware of what you are looking at
2. Is the data trustworthy?
Consider the data source, accuracy of data,
and time when data was collected
3. What conclusions can you draw from the data?
Some conclusions can be made right away,
others may need to be calculated or found
36. Example 2
Refer to the table on page 7.
How many times as likely was a family to have an income
of less than $15,000 if the head of the household had
some high school, but no diploma rather than graduated
from high school?
37. What do we do?
38. What do we do?
Some High School
39. What do we do?
Some High School Graduated from High School
40. What do we do?
Some High School Graduated from High School
28.2% + 14.5% =
41. What do we do?
Some High School Graduated from High School
28.2% + 14.5% =
42.7%
42. What do we do?
Some High School Graduated from High School
28.2% + 14.5% = 13.6% + 10.2% =
42.7%
43. What do we do?
Some High School Graduated from High School
28.2% + 14.5% = 13.6% + 10.2% =
42.7% 23.8%
44. What do we do?
Some High School Graduated from High School
28.2% + 14.5% = 13.6% + 10.2% =
42.7% 23.8%
Almost TWICE as likely to have an income of less than
$15,000 than a household headed by a high school
graduate
45. Bar Graphs:
Circle Graphs:
46. Bar Graphs:
A graph that uses bars to represent the data
Circle Graphs:
47. Bar Graphs:
A graph that uses bars to represent the data
Circle Graphs:
A graph that is made out of a circle.
Each section is made up of a percentage of the whole
48. Bar Graphs:
A graph that uses bars to represent the data
Circle Graphs:
A graph that is made out of a circle.
Each section is made up of a percentage of the whole
Circle graph gives a quick visual summary of the data
49. Example 3
Continent Area 1000 mi2 Population
Africa 11,700 (mill)
878
Antarctica 5,400 0
Asia 17,400 3,340
Australia 3,300 29
Europe 3,800 714
North America 9,400 292
Central & South America 6,900 481
Source: 1996 World Almanac and Book of Facts
50. 3a. Construct a circle graph of the areas
51. 3a. Construct a circle graph of the areas
3b. If the areas of the continents were
measured in km2, would the circle graph for
area be different? Why or why not?
52. 3a. Construct a circle graph of the areas
3b. If the areas of the continents were
measured in km2, would the circle graph for
area be different? Why or why not?
No
53. 3a. Construct a circle graph of the areas
3b. If the areas of the continents were
measured in km2, would the circle graph for
area be different? Why or why not?
No
It is the same ratio.
Here the units do not matter
54. With our technology, circle graphs are usually made on
spreadsheets
3c. Construct a circle graph of the populations using Excel
55. With our technology, circle graphs are usually made on
spreadsheets
3c. Construct a circle graph of the populations using Excel
3d. How do the circle graphs indicate which continents
have more people for their area?
56. With our technology, circle graphs are usually made on
spreadsheets
3c. Construct a circle graph of the populations using Excel
3d. How do the circle graphs indicate which continents
have more people for their area?
Continents with more people for their area have larger
sectors on the population graph than the area graph
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