1. Marginal and Conditional
Warm Up – Test Review
Marginal and Conditional

2. 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.

3. Calculate the marginal distribution of management level in percents.
182
1756
1327
1769
1496
3265
Calculate the marginal distribution of management level in percents.

4. 182
1756
1327
1769
1496
3265
Find the conditional distribution of management level for each
college type, in percents.
Public
Private
High
𝟕𝟓 𝟏𝟕𝟔𝟗 =4.2 %
𝟏𝟎𝟕 𝟏𝟒𝟗𝟔 = 7.2 %
Medium
𝟗𝟔𝟐 𝟏𝟕𝟔𝟗 = 54.4 %
𝟕𝟗𝟒 𝟓𝟗𝟓 = 53.1 %
Low
𝟕𝟑𝟐 𝟏𝟕𝟔𝟗 = 41.4 %
𝟓𝟗𝟓 𝟏𝟒𝟗𝟔 = 39.8 %

5. Public Private High 4.2 % 7.2 % Medium 54.4 % 53.1 % Low 41.4 % 39.8 %
c. Sketch the data from part (b) in a segmented bar graph and in a side-by-side bar graph.

6. Public Private High 4.2 % 7.2 % Medium 54.4 % 53.1 % Low 41.4 % 39.8 %
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 80 40
Med % 60 30
Med 40 20
Public
Public
Private
Private 20
Low 10
Low
Public
Private
Public
Private
Low
Medium
High

7. 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.

8. Graph the following: Class Freq. 20-40 35 40-60 27 60-100 20
200 –