AP Statistics Practice Exam 2
Section I: 42 multiple-choice questions · 90 minutes · then section II, free response · AP score estimate · every answer solved step by step
✎ Section II: free response 🖨 Print the exam Answers and scoring guide
How it works
- Multiple choice: 42 questions (two sets of 3 on one prompt), 90 minutes, graphing calculator.
- Each question has 4 choices. A wrong answer costs nothing, so answer every question. One question at a time: Back, Next, the question list, Mark for review.
- A timer counts down for each part (you can hide it; it shows again in the last 5 minutes). The calculator is on for the whole section. The real test has Desmos built into the Bluebook app; here the calculator button gives a scientific calculator.
- At the end: right and wrong for every question, your answer, the right one, why a wrong choice is wrong, and its step-by-step solution. Then go on to section II, free response: with both sections you get an AP score estimate (1-5).
Your answers are kept in this browser, so you can close the page and come back. No sign-up.
Multiple choice
1 Question 1
Seven runners finished a race in 34, 28, 41, 37, 30, 45 and 39 minutes. What is the median time, in minutes?- A) 36.29
- B) 17
- C) 37
- D) 38
2 Question 2
A sample of five bus trips ran 4, 7, 10, 7 and 12 minutes late. What is the sample standard deviation, to one decimal place?- A) 2.8
- B) 8
- C) 9.5
- D) 3.1
3 Question 3
Nine phone batteries lasted 22, 15, 30, 18, 27, 35, 12, 25 and 20 hours. What is the first quartile, Q1?- A) 18
- B) 22
- C) 16.5
- D) 28.5
4 Question 4
A shop's sales on nine days were 52, 55, 57, 58, 60, 61, 63, 64 and 90. Using the 1.5 × IQR rule, which values are outliers?- A) none
- B) 90 only
- C) 52 and 90
- D) 64 and 90
5 Question 5
Apples from an orchard have mean weight 70 grams and standard deviation 8 grams. What is the z-score of an apple that weighs 82 grams?- A) 12
- B) −1.5
- C) 1.5
- D) 10.25
6 Question 6
Scores on an exam have mean 200 and standard deviation 20. Which score has a z-score of −1.5?- A) 170
- B) 230
- C) 198.5
- D) 180
7 Question 7
The data are 10, 12, 13, 15 and 60. The value 60 is removed. How do the mean and the median change?- A) mean: down 60, median: down 0.5
- B) mean: down 9.5, median: no change
- C) mean: down 0.5, median: down 9.5
- D) mean: down 9.5, median: down 0.5
8 Question 8
250 adults were chosen at random from a city. Half of them chose to ride a bike to work, and the bike group felt less stressed. Which conclusion does the study support?- A) causes it, for the whole city
- B) linked in the city, maybe not caused
- C) causes it, for people like these
- D) linked, for people like these
9 Question 9
60 patients at a clinic volunteered for a study. Half of them were chosen at random to do a daily stretch, and the stretch group had less back pain. Which conclusion does the study support?- A) causes it, for the whole clinic
- B) causes it, for people like these
- C) linked, for people like these
- D) linked in the clinic, maybe not caused
10 Question 10
120 seedlings were picked at random from a nursery. Half of them were picked at random to get extra light, and the extra light group grew taller. Which conclusion does the study support?- A) linked, for people like these
- B) linked in the nursery, maybe not caused
- C) causes it, for people like these
- D) causes it, for the whole nursery
11 Question 11
Seven shops sold 15, 22, 9, 30, 18, 25 and 12 umbrellas on a rainy day. What is the five-number summary?- A) min 9, Q1 13.5, median 18, Q3 23.5, max 30
- B) min 9, Q1 15, median 18, Q3 22, max 30
- C) min 9, Q1 12, median 18, Q3 25, max 30
- D) min 9, Q1 12, median 18.71, Q3 25, max 30
12 Question 12
(Questions 12-14 use this.) At a school, 18 juniors ride the bus and 12 come by car; 10 seniors ride the bus and 20 come by car. One of these 60 students is picked at random. What is the probability that the student rides the bus?- A) 715
- B) 35
- C) 13
- D) 815
13 Question 13
(Same students.) A senior is picked at random. What is the probability that the senior rides the bus?- A) 13
- B) 16
- C) 514
- D) 23
14 Question 14
(Same students.) A bus rider is picked at random. What is the probability that the bus rider is a senior?- A) 13
- B) 16
- C) 514
- D) 914
15 Question 15
A basketball player makes 60% of free throws, independently. In 5 throws, what is the probability that the player makes exactly 3?- A) 0.216
- B) 0.6
- C) 0.3456
- D) 0.03456
16 Question 16
X is the number of books a student borrows in a week: P(X = 1) = 0.1, P(X = 2) = 0.3, P(X = 3) = 0.4, P(X = 4) = 0.2. What is the mean of X?- A) 2.5
- B) 2.7
- C) 3
- D) 0.25
17 Question 17
Times to put together a desk are normal with mean 100 minutes and standard deviation 15 minutes. What is the probability that a desk takes more than 130 minutes?- A) 0.9772
- B) 0.0456
- C) 0.1587
- D) 0.0228
18 Question 18
Lengths of bolts are normal with mean 60 mm and standard deviation 5 mm. What length has 95% of the bolts below it?- A) 69.8
- B) 68.225
- C) 51.775
- D) 65
19 Question 19
A population has mean 30 and standard deviation 9. For random samples of 36, what is the probability that the sample mean is less than 32?- A) 0.5879
- B) 0.9772
- C) 0.0918
- D) 0.9082
20 Question 20
Of 60 people, 32 like tea, 24 like coffee and 10 like both. One person is picked at random. What is the probability that the person likes neither?- A) 2330
- B) 16
- C) 115
- D) 730
21 Question 21
In a random sample of 500 shoppers, 150 used a coupon. What is a 95% confidence interval for the proportion of all shoppers who use a coupon?- A) (0.2663, 0.3337)
- B) (0.2598, 0.3402)
- C) (0.2795, 0.3205)
- D) (0.25, 0.35)
22 Question 22
In a random sample of 220 households, 66 have a pet. What is a 90% confidence interval for the proportion of all households that have a pet?- A) (0.2492, 0.3508)
- B) (0.2394, 0.3606)
- C) (0.2691, 0.3309)
- D) (0.2984, 0.3016)
23 Question 23
A test of H0: p = 0.2 against Ha: p > 0.2 uses a random sample of 270 households, of which 63 own a dog. At α = 0.05, what is the conclusion?- A) Reject H0
- B) Do not reject H0
- C) Accept H0: exactly 20% own a dog
- D) Accept Ha because 63270 is more than 0.2
24 Question 24
A town says 60% of its residents support a new park. In a random sample of 200 residents, 105 support it. A test of H0: p = 0.6 against Ha: p < 0.6 is done at α = 0.05. What is the conclusion?- A) Reject H0: there is convincing evidence that fewer than 60% support the park
- B) Do not reject H0
- C) Accept H0: 60% support the park
- D) Accept Ha because 105 is more than half of 200
25 Question 25
In a random sample of 400 voters, 230 favour a plan. A test of H0: p = 0.5 against Ha: p ≠ 0.5 is done at α = 0.01. What is the conclusion?- A) Do not reject H0
- B) Accept Ha only at α = 0.05, not at α = 0.01
- C) Accept H0
- D) Reject H0
26 Question 26
In a random sample of 160 city drivers, 32 had an accident last year; in a random sample of 160 country drivers, 48 did. A test of H0: p1 = p2 against Ha: p1 < p2 (1 = city) is done at α = 0.05. What is the conclusion?- A) Do not reject H0
- B) Reject H0
- C) Accept H0
- D) Accept Ha because 32 is less than 48
27 Question 27
Men: 40 said yes and 60 said no; women: 50 said yes and 50 said no. A chi-square test of independence is done at α = 0.05. What is the conclusion?- A) Reject H0
- B) Accept H0
- C) Do not reject H0
- D) Accept Ha because more women said yes
28 Question 28
A pollster wants a 95% confidence interval for a proportion with a margin of error of at most 0.04, and has no earlier estimate of p. What is the smallest sample size?- A) 600
- B) 25
- C) 601
- D) 423
29 Question 29
Young people: 26 drink tea and 24 drink coffee; older people: 15 drink tea and 35 drink coffee. A chi-square test of independence is done at α = 0.05. What is the conclusion?- A) Do not reject H0
- B) Accept H0
- C) Reject H0
- D) Accept Ha because more older people drink coffee
30 Question 30
A random sample of 25 batteries has mean life 72 hours and standard deviation 10 hours. What is a 95% t-interval for the mean life of all such batteries?- A) (68.08, 75.92)
- B) (70, 74)
- C) (51.36, 92.64)
- D) (67.872, 76.128)
31 Question 31
A random sample of 16 workers takes a mean of 15 minutes to finish a task, with standard deviation 4 minutes. What is a 90% t-interval for the mean time?- A) (13.355, 16.645)
- B) (13.04, 16.96)
- C) (7.988, 22.012)
- D) (13.247, 16.753)
32 Question 32
H0: μ = 20, Ha: μ > 20. A random sample of 25 has mean 22 and standard deviation 5. At α = 0.05, what is the conclusion?- A) Reject H0
- B) Do not reject H0
- C) Accept H0
- D) Accept Ha because 22 is more than 20
33 Question 33
H0: μ = 100, Ha: μ ≠ 100. A random sample of 25 has mean 97 and standard deviation 9. At α = 0.05, what is the conclusion?- A) Do not reject H0
- B) Reject H0
- C) Accept H0: the mean is 100
- D) Accept Ha because 97 is not 100
34 Question 34
Five students took a reading test before and after a summer course. Before: 12, 15, 11, 14, 16. After: 14, 16, 13, 17, 19. A paired t-test of whether scores went up is done at α = 0.05. What is the conclusion?- A) Do not reject H0
- B) Accept H0
- C) Reject H0
- D) Accept Ha because every score went up
35 Question 35
Plants on a new fertiliser: mean height 79 cm, standard deviation 10 cm, n = 40. Plants on the old one: mean 74 cm, standard deviation 12 cm, n = 45. A test of H0: μ1 = μ2 against Ha: μ1 > μ2 is done at α = 0.05. What is the conclusion?- A) Do not reject H0
- B) Reject H0
- C) Accept H0
- D) Accept Ha because 79 is more than 74
36 Question 36
Weekly spending in a population has mean $120 and standard deviation $18. For random samples of 36, what are the mean and the standard deviation of the sample mean?- A) mean 120, SD 18
- B) mean 120, SD 3
- C) mean 120, SD 0.5
- D) mean 20, SD 3
37 Question 37
(Questions 37-39 use this.) Five students give hours studied x and quiz score y: (1, 3), (2, 5), (3, 6), (4, 9), (5, 12). What is the correlation r, to three decimal places?- A) 0.968
- B) −0.984
- C) 2.2
- D) 0.984
38 Question 38
(Same five students.) Which is the least-squares regression line?- A) y = 2.2x + 0.4
- B) y = 2x + 1
- C) y = 2.2x
- D) y = 0.4x + 2.2
39 Question 39
(Same five students.) Using the line y = 2.2x + 0.4, what is the residual for the student who studied 3 hours and scored 6?- A) −1
- B) 1
- C) 7
- D) 0
40 Question 40
Points (0, 5), (1, 15), (2, 45), (3, 135), (4, 405). Which model fits them best?- A) linear
- B) quadratic
- C) exponential
- D) neither
41 Question 41
Five points (x, y): (1, 10), (2, 8), (3, 9), (4, 5), (5, 3). What is the correlation r, to three decimal places?- A) −0.922
- B) 0.922
- C) −1.7
- D) 0.85
42 Question 42
A regression line is y = 3x + 5. For the point (4, 15), what is the residual?- A) −2
- B) 17
- C) 2
- D) 15
Steply AP practice exams are our own questions, written in the style of the AP exams for May 2027; they are not official, and the AP score is our own rough estimate. AP® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this site. Official practice: the College Board's AP Students site and its free-response questions from past years.