Advanced Placement Statistics

1
Advanced Placement Statistics

• Univariate Data Analysis
• Review Questions

2
Directions

• Choose the answer that best completes the
  statement or that best answers the question.
• Do any mathematical figuring on loose-leaf paper.
• All questions are taken from AP Statistics Exams
  or Review Books.
• Remember the actual exam is timed, so try to
  limit the amount of time spent on each question.

3
The following list is ordered from smallest to
largest 25, 26, 26, 30, y, y, y, 33, 150.
Which of the following statements are true? I.
The mean is greater than the median II. The
mode is 26 III. There are no outliers in the
data.

• I only
• I and II only
• III only
• I and III only
• II and III only

A.
B.
C.
D.
E.
4
Try Again!
5
Correct!
Try the next one.
6
2. Jenny is 510 tall and is worried about her
height. The heights of girls in the school are
approximately normally distributed with a mean of
55 and a standard deviation of 2.6. What is
the percentile rank of Jennys height?

• 59
• 65
• 74
• 92
• 97

A.
B.
C.
D.
E.
7
Try Again!
8
Correct!
Try the next one.
9
3. The mean and standard deviation of a normally
distributed data set are 19 and 4, respectively.
19 is subtracted from every term in the data set
and then the result is divided by 4. Which of
the following best describes the resulting
distribution?

• It has a mean of 0 and a standard deviation of 1.
• It has a mean of 0, a standard deviation of 4,
  and its shape is normal.
• It has a mean of 1 and a standard deviation of 0.
• It has a mean of 0, a standard deviation of 1,
  and its shape is normal.
• It has a mean of 0, a standard deviation of 4,
  and its shape is unknown.

A.
B.
C.
D.
E.
10
Try Again!
11
Correct!
Try the next one.
12
4. A set of 5000 scores on a college readiness
exam are known to be approximately normally
distributed with mean 72 and standard deviation
6. To the nearest integer value, how many scores
are there between 63 and 75?

• 0.6247
• 4115
• 3650
• 3123
• 3227

A.
B.
C.
D.
E.
13
Try Again!
14
Correct!
Try the next one.
15
5. Which of the following statements are true?I.
The median is resistant to extreme values.II.
The mean is resistant to extreme values.III.
The standard deviation is resistant to extreme
values.

• I only
• II only
• III only
• II and III only
• I and III only

A.
B.
C.
D.
E.
16
Try Again!
17
Correct!
Try the next one.
18
6. Which of the following are true statements?I.
The range of the sample data set is never
greater than the range of the
population.II. The interquartile range is half
the distance between the first quartile
and the third quartile.III. While the range is
affected by outliers, the interquartile
range is not.

• I only
• II only
• III only
• I and II only
• I and III only

A.
B.
C.
D.
E.
19
Try Again!
20
Correct!
Try the next one.
21
7. z-score is

• The mean of the distribution.
• The deviation from the mean divided by the
  standard deviation.
• Always positive.
• All of the above.
• None of the above.

A.
B.
C.
D.
E.
22
Try Again!
23
Correct!
Try the next one.
24
8. Suppose the average score on a national test
is 500 with a standard deviation of 100. If each
score is increased by 25, what are the new mean
and standard deviation?

• 500, 100
• 500, 125
• 525, 100
• 525, 105
• 525, 125

A.
B.
C.
D.
E.
25
Try Again!
26
Correct!
Try the next one.
27
9. In a certain southwestern city the air
pollution index averages 62.5 during the year
with a standard deviation of 18.0. Assuming that
the empirical rule is appropriate, the index
falls within what interval 95 of the time?

• (8.5, 116.5)
• (26.5, 98.5)
• (44.5, 80.5)
• (45.4, 79.6)
• There is insufficient information to answer this
  question.

A.
B.
C.
D.
E.
28
Try Again!
29
Correct!
Try the next one.
30
Good Job on Univariate Data! Try another one.
Click here to visit the AP Central Website for
further information
Planning Conducting Experiments
Bivariate Data
Sampling Distributing
Data Collecting
Probability
Statistical Inference
Home