AP Advanced Placement Statistics
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Questions 1–10: Describing Data, Graphical Displays, and
Summary Statistics
1. A botanist is studying petal lengths of two species of lilies.
Box plots show distributions from two samples of equal size.
Which conclusion is correct based on the box plots?
(A) The interquartile ranges are the same for both samples.
(B) The range for species B is greater than the range for species A.
(C) There are more petal lengths greater than 70 mm for species A
than for species B.
(D) There are more petal lengths greater than 40 mm for species B
than for species A.
(E) There are more petal lengths less than 30 mm for species B
than for species A.
Answer: (E) There are more petal lengths that are less than 30
mm for species B than there are for species A.
, 2. The histogram displays the times (in minutes) for 26
chimpanzees to complete a navigation task. The largest
observation, 93, is an outlier since Q3 + 1.5(IQR) = 87.125.
Which boxplot represents the data?
Answer: E
3. A random sample of 25 households is surveyed on the age
of the youngest child. In which interval is the median of these
data located?
Answer: (D) 8 years old to less than 10 years old
4. Which statement correctly describes the mean and median
for skewed data?
(A) The mean is affected by skewness, whereas the median is not.
(B) The median is affected by skewness, whereas the mean is not.
(C) The mean and median are equally affected by skewness.
(D) The mean should be used only when data are strongly skewed
to the left.
(E) The median is equal to one-half the sum of the maximum and
minimum SAT scores at Groveland High.
Answer: (A) The mean is affected by the skewness, whereas
the median is not.
, 5. What does a high standard deviation indicate about a
dataset?
(A) Greater variability in data points
(B) Low variability in data points
(C) Normal distribution of data
(D) Data points are identical
Answer: (A) Greater variability in data points
6. What graphical display is best for large sets of quantitative
data showing distribution?
Answer: Histogram
7. What measure of spread is considered resistant to outliers?
Answer: Interquartile Range (IQR)
8. What is the 1.5 x IQR Rule used for?
Answer: A method to identify outliers in a dataset
, 9. A Two-Way Table displays a relationship between what
types of variables?
Answer: Two categorical variables
10. What does a Joint Relative Frequency summarize?
Answer: The frequency of two variables occurring together
Questions 11–20: Sampling Distributions, Confidence
Intervals, and Inference
11. A researcher uses a simple random sample of 50 voters to
create a confidence interval for a proportion. If the sample
size increases to 200, what happens to the interval width?
(A) About one-fourth the width.
(B) About one-half the width.
(C) About the same width.
(D) About twice the width.
(E) About four times the width.
Answer: (B) The width of the new interval would be about
one-half the width of the original interval.
Exam College Board 2026/2027 –
Questions and Answers | 100%
Verified | Complete Verified Answers –
Pass Guaranteed – A+ Graded |Instant
Download pdf
Questions 1–10: Describing Data, Graphical Displays, and
Summary Statistics
1. A botanist is studying petal lengths of two species of lilies.
Box plots show distributions from two samples of equal size.
Which conclusion is correct based on the box plots?
(A) The interquartile ranges are the same for both samples.
(B) The range for species B is greater than the range for species A.
(C) There are more petal lengths greater than 70 mm for species A
than for species B.
(D) There are more petal lengths greater than 40 mm for species B
than for species A.
(E) There are more petal lengths less than 30 mm for species B
than for species A.
Answer: (E) There are more petal lengths that are less than 30
mm for species B than there are for species A.
, 2. The histogram displays the times (in minutes) for 26
chimpanzees to complete a navigation task. The largest
observation, 93, is an outlier since Q3 + 1.5(IQR) = 87.125.
Which boxplot represents the data?
Answer: E
3. A random sample of 25 households is surveyed on the age
of the youngest child. In which interval is the median of these
data located?
Answer: (D) 8 years old to less than 10 years old
4. Which statement correctly describes the mean and median
for skewed data?
(A) The mean is affected by skewness, whereas the median is not.
(B) The median is affected by skewness, whereas the mean is not.
(C) The mean and median are equally affected by skewness.
(D) The mean should be used only when data are strongly skewed
to the left.
(E) The median is equal to one-half the sum of the maximum and
minimum SAT scores at Groveland High.
Answer: (A) The mean is affected by the skewness, whereas
the median is not.
, 5. What does a high standard deviation indicate about a
dataset?
(A) Greater variability in data points
(B) Low variability in data points
(C) Normal distribution of data
(D) Data points are identical
Answer: (A) Greater variability in data points
6. What graphical display is best for large sets of quantitative
data showing distribution?
Answer: Histogram
7. What measure of spread is considered resistant to outliers?
Answer: Interquartile Range (IQR)
8. What is the 1.5 x IQR Rule used for?
Answer: A method to identify outliers in a dataset
, 9. A Two-Way Table displays a relationship between what
types of variables?
Answer: Two categorical variables
10. What does a Joint Relative Frequency summarize?
Answer: The frequency of two variables occurring together
Questions 11–20: Sampling Distributions, Confidence
Intervals, and Inference
11. A researcher uses a simple random sample of 50 voters to
create a confidence interval for a proportion. If the sample
size increases to 200, what happens to the interval width?
(A) About one-fourth the width.
(B) About one-half the width.
(C) About the same width.
(D) About twice the width.
(E) About four times the width.
Answer: (B) The width of the new interval would be about
one-half the width of the original interval.
