AP Statistics Practice Test (2026)

Which of the following variables is considered a categorical variable?

A local coffee shop surveyed its customers about their preferred type of coffee drink. The results are shown in a bar chart where 'Latte' has a bar reaching 60, 'Cappuccino' reaches 45, 'Americano' reaches 30, and 'Espresso' reaches 15. Based on this information, how many more customers preferred Lattes than Americanos?

Ms. Okafor's AP U.S. History class of 20 students recently took a 50-point quiz on the Progressive Era. She organized the 20 scores into the stem-and-leaf plot below so that each student could see where their own score fell within the class distribution. Stem | Leaf ---|--- 2 | 1 3 5 3 | 0 2 2 6 8 4 | 1 1 3 5 7 9 5 | 0 0 0 Key: 2 | 1 = 21 points out of 50. The four leaves beside the stem '5' each represent a score of exactly 50 (a perfect paper). The three leaves beside the stem '2' correspond to 21, 23, and 25 points, which were the three lowest scores in the class. Reading the plot from stem 2 down to stem 5 gives every score in order from lowest to highest.

Which of the following best describes the shape of the distribution of quiz scores shown in the stem-and-leaf plot?

A researcher collected data on the number of hours spent exercising per week by a sample of 100 adults. A histogram was constructed with bars representing intervals of 2 hours. The histogram shows a tall bar for 0-2 hours, a slightly shorter bar for 2-4 hours, then progressively much shorter bars for 4-6 hours, 6-8 hours, and 8-10 hours, with a very short bar for 10-12 hours. The peak of the distribution is clearly on the left side, and the tail extends to the right.

Based on the description of the histogram, what is the most appropriate description of the shape of the distribution of exercise hours?

If a distribution of data is strongly skewed to the right, which of the following statements about the mean and median is generally true?

A small class of 7 students recorded the following number of hours they spent studying for a statistics exam: 5, 8, 3, 10, 7, 6, 9. What is the median number of hours studied?

The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 100. A student scores 650 on this test. What is the z-score for this student's score?

A student takes two different standardized tests. On Test A, the student scores 85. Test A has a mean score of 70 and a standard deviation of 10. On Test B, the student scores 120. Test B has a mean score of 100 and a standard deviation of 15.

Which test did the student perform relatively better on, and why?

Which of the following describes the rule to identify a low outlier in a data set?

A box plot shows the distribution of the number of hours students spent on homework per week. The minimum value is 5 hours, Q1 is 10 hours, the median is 15 hours, Q3 is 20 hours, and the maximum value is 30 hours. There are no identified outliers.

What is the Interquartile Range (IQR) for the number of hours spent on homework?

Brightline Designs, a small graphic-design studio, currently employs 9 people. Each of the 9 employees earns an annual salary between $48,000 and $72,000. For the current 9 salaries, the mean salary is $60,000 and the median salary is also $60,000. The owner then hires a tenth employee — a new creative director — at an annual salary of $300,000, which is far above any existing salary at the firm. After the hire, the studio has 10 employees in total. A summer intern is asked to recompute the summary statistics for the full set of 10 salaries.

Compared to the original 9-employee statistics, how will the mean and median salaries for the 10-employee studio most likely change?

When describing a distribution that is strongly skewed or contains significant outliers, which measures of center and spread are generally preferred?

Two different brands of batteries, Brand X and Brand Y, were tested for their lifespan (in hours) in a controlled experiment. The results are summarized by two box plots. Brand X: Min=8, Q1=12, Med=15, Q3=18, Max=22 Brand Y: Min=10, Q1=13, Med=16, Q3=21, Max=25

Based on the box plot descriptions, which statement accurately compares the two brands?

What does the standard deviation primarily measure in a dataset?

A marketing research firm is studying consumer habits by surveying 500 randomly selected adults across the country. For each adult, they record their age, annual income, and preferred brand of coffee. In this study, what are the 'individuals' and what are the 'variables'?

A student receives their score on a national mathematics exam and is told they scored at the 75th percentile. What does this mean?

A curious student recorded the ages (in years) of 25 pennies in their coin collection: 1, 3, 4, 4, 5, 6, 7, 8, 8, 9, 10, 11, 12, 12, 13, 15, 17, 18, 19, 20, 22, 25, 28, 30, 35 The student wants to create a histogram with bin widths of 5 years, starting with the bin 0 to less than 5 years (0-4).

Which of the following describes the correct frequency for the bin representing ages from 10 to less than 15 years (10-14)?