AP Statistics Exam Review
Topic I: Describing Data
FREE RESPONSE
Use the given data set of test grades from a college statistics class for this question.
85 72 64 65 98 78 75 76 82 80 61 92 72 58 65 74 92 85 74 76 77 77 62 68 68 54 62 76 73 85 88 91 99 82 80
74 76 77 70 60
A.
Construct two different graphs of these data
B.
Calculate the five-number summary and the mean and standard deviation of the data.
C.
Describe the distribution of the data, citing both the plots and the summary statistics found in questions 1
and 2.
AP Statistics Exam Review
Topic II: Normal Distribution
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A set of 2,000 measurements had a symmetric, mound-shaped distribution. The mean is 5.3 and the standard
deviation is 0.7. Determine an interval that contains approximately 1,360 date values.
AP Statistics Exam Review
Topic IV: Planning a Study
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The loss of bone mass density (BMD) in men and women can be reduced by drug treatments. A pharmaceutical
company has developed a new calcium supplement, which claims to reduce the loss of BMD. Volunteers who have
been diagnosed with loss of bone mass density and who are currently not on medication or calcium supplements will
be recruited to participate in a study. It is known that men and women experience different average losses of
BMD.
A.
B.
C.
Explain how you would carry out a completely randomized experiment for the study.
Describe an experimental design that would improve the design in part (A) by incorporating blocking.
Can the experimental design in part (B) be carried out in a double-blind manner? Explain.
AP Statistics Exam Review
Topic V: Probability
A. 12
B. 16
C. 24
D. 48
E. 144
A. 0.40
B. 0.42
C. 0.46
D. 0.05
E. 0.52
A. 1/8
B. ¼
C. 1/2
D. 2/3
E. 1/16
FREE RESPONSE
A telecommunications company uses three different systems to produce the print shaft holder for its most popular
fax machine. System A produces 50% of the shaft holders, System B produces 30% of the shaft holders, and
System C produces 20% of the shaft holders. The percentages of the defective shaft holders produced by each
system are respectively, 3%, 4% and 5%.
A.
B.
If a shaft holder is selected at random, what is the probability that it is defective?
If a shaft holder is selected at random and found to be defective, what is the probability that it was
produced by System A?
SOLUTIONS
Topic I: Describing Data
A.
B.
C.
It appears from both the graphical displays and the summary
statistics indicated that the data are symmetric and unimodal.
There is a slight skew to the right
Topic II: Normal Distribution
1,360/ 2,000 is 68% of the data. Therefore, using the empirical rule,
an interval within one standard deviation of the mean should have
approximately 68% of the data: an approximate interval is
(5.3 - 0.7, 5.3 + 0.7) = (4.6, 6.0)
Topic IV: Planning a Study
A.
Throw the names of the volunteers in a hat or use some other random
assignment method such as a random digit table and randomly assign volunteers
to two different groups, a control group and a treatment group. The
treatment group would receive the supplement. The control group would
receive another type of supplement already in use. Compare the results of the
two groups at the end.
B.
Identify group A as the new medicine group and group B as the control group.
Since men and women experience different levels of BMD loss, separate men
and women first. Then randomly assign members of each gender into Group A
or Group B. Compare the results within each gender.
Group A
Group B
Men
Volunteers
Group A
Women
Group B
C.
Compare
Results
Compare
Results
Yes, as long as the subjects do not know whether they are receiving the
treatment or the placebo and the researcher administering and monitoring the
experiment also does not know which one the subjects are receiving. Then the
experiment would be double blind.
Topic V: Probability
3%
System A
97 %
Defective
Not Defective
50%
4%
30%
Defective
System B
96 %
Not Defective
20%
System C
5%
95 %
A.
B.
Defective
Not Defective
P(Defective) = 0.5(0.03)  0.3(0.04)  0.2(0.05)  0.037
.05(0.03)
P(System A given that it is defective) =
 0.405
0.037