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Warm Up – Test Review. Marginal and Conditional.

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### Warm Up – Test Review

Marginal and Conditional

Researchers looking at the relationship between the type of college attended (public or private) and achievement gather the following data on 3265 people who graduated from college in the same year. The variable “management level” describes their job description 20 years after graduating from college.

- a. Calculate the marginal distribution of management level in percents.
- b. Find the conditional distribution of management level for each college type, in percents.
- c. Sketch the data from part (b) in a segmented bar graph and in a side-by-side bar graph.

182 college attended (public or private) and achievement gather the following data on 3265 people who graduated from college in the same year. The variable “management level” describes their job description 20 years after graduating from college.

1756

1327

1769

1496

3265

- Calculate the marginal distribution of management level in percents.

182 college attended (public or private) and achievement gather the following data on 3265 people who graduated from college in the same year. The variable “management level” describes their job description 20 years after graduating from college.

1756

1327

1769

1496

3265

- Find the conditional distribution of management level for each
- college type, in percents.

- c. Sketch the data from part (b) in a segmented bar graph and in a side-by-side bar graph.

- c. Sketch the data from part (b) in a segmented bar graph and in a side-by-side bar graph.

60

100

50

High

High

40

80

Med

60

30

%

Med

40

20

Public

Private

Private

Public

10

20

Low

Low

Private

Public

Public

Private

Low

Medium

High

Below is a graph showing the total number of Oscar nominations for the four films that had PG or PG-13 ratings. What’s wrong with the way the information is presented in this graph?

Using similar figures to compare heights exaggerates the differences between frequencies since people (wrongly) tend to compare areas.

Graph the following: nominations for the four films that had PG or PG-13 ratings. What’s wrong with the way the information is presented in this

Class Freq.

20-40 35

40-60 27

60-100 20

100-200 10

200 – 800 28

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