Summary Statistics | College Board AP® Statistics Exam Questions & Answers 2026 [PDF]

1

1 mark

A random sample of 522 acorns was collected, and the weight of each acorn was measured. According to the boxplot below, what is the approximate interquartile range (IQR) of the weights?

Boxplot showing weight distribution for the weights of a sample of acorns.

1
1.5
2.5
9.5

Choose your answer

Was this exam question helpful?

5

1 mark

A survey asked 80 adults which type of transportation they use most often to get to work. The results are shown in the table.

Type of transportation	Car	Bus	Bicycle	Walk
Frequency	44	16	8	12

What is the relative frequency of adults in the survey who travel to work most often by bicycle or by walking?

0.10
0.25
0.45
20

Choose your answer

Was this exam question helpful?

1

1 mark

The one-way commute times, in minutes, for a random sample of 40 workers in a city are summarized in the table.

Minimum	$Q_{1}$	Median	$Q_{3}$	Maximum	Mean	Standard deviation
12	22	27	33	49	28	9

Which of the following describes whether the maximum commute time of 49 minutes is an outlier?

49 minutes is an outlier using both the 1.5 × IQR rule and the 2 standard deviations rule.
49 minutes is not an outlier using either the 1.5 × IQR rule or the 2 standard deviations rule.
49 minutes is an outlier using the 1.5 × IQR rule, but not using the 2 standard deviations rule.
49 minutes is an outlier using the 2 standard deviations rule, but not using the 1.5 × IQR rule.

Choose your answer

Was this exam question helpful?

2

1 mark

The times, in minutes, that 40 students took to complete a puzzle are summarized in the frequency table.

Time, $t$ (minutes)	$0 < t \leq 10$	$10 < t \leq 20$	$20 < t \leq 30$	$30 < t \leq 40$
Frequency	6	12	14	8

Which of the following gives an estimate of the mean time and the interval that contains the median time?

Estimated mean = 26 minutes; the median is in the interval $20 < t \leq 30$
Estimated mean = 21 minutes; the median is in the interval $10 < t \leq 20$
Estimated mean = 21 minutes; the median is in the interval $20 < t \leq 30$
Estimated mean = 10 minutes; the median is in the interval $20 < t \leq 30$

Choose your answer

Was this exam question helpful?

3

1 mark

The scores on the same test for two classes of 25 students are summarized in the table.

Class	Mean	Standard deviation	$Q_{1}$	Median	$Q_{3}$
A	74	12	66	78	84
B	74	6	70	72	78

Which of the following statements is supported by the summary statistics?

The distribution of scores for Class A is likely skewed to the right because the mean is less than the median.
The scores for Class A vary more than the scores for Class B, and the distribution of scores for Class A is likely skewed to the left.
The scores for Class B vary more than the scores for Class A because the median for Class B is closer to the mean for Class B.
The scores for the two classes have the same variability because the classes have the same mean and the same number of students.

Choose your answer

Was this exam question helpful?

Time, $t$ (minutes)	Frequency
$180 < t \leq 216$	$4$
$216 < t \leq 252$	$13$
$252 < t \leq 288$	$59$
$288 < t \leq 324$	$65$
$324 < t \leq 360$	$19$

Price (in thousands of $)	250	275	300	325	350	375	400	425
Frequency	1	6	3	3	2	5	3	2

Min = 6	Max = 29
Lower quartile = 17	Upper quartile = 22
Median = 20	n = 10

Summary Statistics (College Board AP® Statistics): Exam Questions