AP Statistics One Variable Quiz – Free PDF

Contents

This ap statistics one variable quiz asks 10 multiple-choice questions on exploring one-variable data, and each answer comes with a short explanation.

Ten multiple-choice questions on one-variable data: variable types, graphs, skew, boxplots, outliers, z-scores, percentiles and the empirical rule. Each question has exactly one correct answer, and the explanation names the common mistake.

AP StatisticsCommon Core: AP Statistics Unit 1 (2026-27)

🎯 Exploring One-Variable Data – AP Statistics math quiz

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Answered: 0 / 10

Question 1

Which of these variables is categorical?

A The temperature in degrees Fahrenheit

B The number of siblings

C The area code of a phone number

D The time to run a mile

Question 2

The bar chart shows the favorite lunch of 40 students. What percent chose tacos?

Favorite lunch of 40 students.

A 10%

B 40%

C 35%

D 25%

Question 3

Which description fits the histogram best?

Exam scores of 72 students.

A Skewed right

B Symmetric and unimodal

C Skewed left

D Bimodal

Question 4

A distribution is skewed right. Which statement is most likely true?

A The mean is greater than the median

B The mean is less than the median

C The mean equals the median

D The standard deviation is zero

Question 5

What is the IQR of the distribution in the boxplot?

Boxplot of 60 test scores.

A 50

B 18

C 11

D 21

Question 6

For a data set, Q1 = 20 and Q3 = 32. By the 1.5 IQR rule, which value is an outlier?

A 52

B 50

C 48

D 44

Question 7

A student scored 85 on a test with mean 70 and standard deviation 6. What is the z-score?

A 15

B 0.4

C 1.5

D 2.5

Question 8

Data are approximately normal with mean 50 and standard deviation 4. About what percent of values are between 46 and 58?

Approximately normal data, mean 50, standard deviation 4.

A 68%

B 95%

C 81.5%

D 47.5%

Question 9

Maya's score is at the 85th percentile. What does that mean?

A She answered 85% of the questions correctly

B About 85% of the scores are below hers

C About 85% of the scores are above hers

D Her score is 85

Question 10

Every value in a data set is increased by 5. Which statistic does NOT change?

A The mean

B The median

C The first quartile

D The standard deviation

🎉 Quiz complete!

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How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

Remember:

Describe every quantitative distribution with shape, center, spread and unusual features, in context.
Use the median and IQR for skewed data or outliers, and the mean and standard deviation for symmetric data.
A value is an outlier if it is below Q1 – 1.5 IQR or above Q3 + 1.5 IQR, or if it is more than 2 standard deviations from the mean.
A z-score is (x – mean) / s; the empirical rule gives 68%, 95% and 99.7% within 1, 2 and 3 standard deviations.