A.P. Statistics - Marginal and Conditional distributions.
Following are statistics f rom exit polls from the 2004 presidential election.
Bush Kerry
White Men 3049 1820
White Women 3080 2464
Non White Men 410 915
Non-White Women 393 1229
1. Find the mar ginal values and place in the chart.
2. Complete the chart to determine the marginal distribution of votes for each
Bush
candidate in terms
of Kerry
percent.
3. Complete the chart to find the marginal distribution of gender in terms of
percent.
Male Female
4. Complete the chart to find the conditional distribution of gender categories
among Bush voters.
Bush Kerry
No High School 268 273
1563 1412
HS Grad
Some college 2360 2011
College Grad 1847 1634
962 1202
Post Grad
5. Find the mar ginal values and place in the chart.
6. Complete the chart to find the marginal distribution of education in terms of
percent.
7. Complete the chart to find the conditional distrbution of education among both
Bush and Kerr y voters.
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Stu Schwartz
Bush Kerry
6101 4312
White
African-American 165 1322
481 579
Latino
120 153
Asian
109 148
Other
10. Find the mar ginal values and place in the chart above.
11. Complete the chart to find the conditional distrbution of race among both Bush
and Kerry voters.
12. Illustrate # 11 in a back to back bar
chart.
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8. Illustrate # 7 in a back to back bar
chart.
Stu Schwartz
Freshmen Sophs Juniors Senior s
No AP Courses 311 296 277 133
1 AP Course
1 23 65 51
2 AP Courses
0 4 48 83
3 or More AP Courses 0 0 4 54
a. Find the marginal distributions of grade and AP
courses.
Freshmen Sophs Juniors Seniors
No AP Courses
1 AP Course
2 AP Courses
3 or More AP Courses
b. Give the marginal distribution of class in terms of percents.
c. Give the marginal distibution of AP status in terms of per
cents:
d. Find the conditional distribution of AP
percents.
status among seniors in
e. Find the conditional distribution among classes among students taking no AP
Courses.
f. Draw a bar chart expressing the percentage distribution of students taking various numbers of AP Courses.
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Stu Schwartz
3. Here are some statistics of the students at Wissahickon High School and their
involvement in AP Courses.
4. Here are some statistics for students of driving age in Montgomery County based on whether or not their
parents
work.
Both parents work
One parent works
Neither parent works
Student drives Student doesn't
to school
drive to school
3,142 4,230
2,104 1,648
425 118
a. Give the marginal distribution of parent work status and student dr iving habits
in terms of percents:
Student drives Student doesn't
to school
drive to school
Both parents work
One parent works
Neither parent works
b. Give the marginal distribution of student driving habits in
percentages:
c. Give the marginal distribution
percentages:
of
terms of
parents working status in terms of
d. Give the conditional distr ibution of dr iving habits among students whose both
parents work in percents.
e. Give the conditional distribution of parent works status among students who drive
to school.
f. Draw bar charts comparing the parent work status based on whether the students drives to school or not.
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Stu Schwartz