AP Statistics Practice Exam 1
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).
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Multiple choice
1 Question 1
Five students spent 12, 15, 9, 20 and 14 minutes on a homework task. What is the mean time, in minutes?- A) 70
- B) 14
- C) 11
- D) 17.5
2 Question 2
Six bags of rice weigh 18, 25, 11, 30, 22 and 40 kilograms. What is the median weight, in kilograms?- A) 23.5
- B) 24.33
- C) 29
- D) 20.5
3 Question 3
A sample of five plants grew 15, 9, 12, 18 and 6 cm. What is the sample standard deviation, to one decimal place?- A) 4.2
- B) 22.5
- C) 12
- D) 4.7
4 Question 4
The data are 100, 104, 106, 108, 110, 111, 113, 150 and 60. Using the 1.5 × IQR rule, which values are outliers?- A) none
- B) 150 only
- C) 60 and 150
- D) 60, 100 and 150
5 Question 5
The data are 12, 5, 8, 20, 15, 9, 11, 7 and 14. What is the third quartile, Q3?- A) 14
- B) 14.5
- C) 11
- D) 7.5
6 Question 6
Scores on a test have mean 100 and standard deviation 15. What is the z-score of a score of 115?- A) 15
- B) 7.67
- C) −1
- D) 1
7 Question 7
Times to finish a puzzle have mean 25 minutes and standard deviation 3 minutes. What is the z-score of a time of 18 minutes, to two decimal places?- A) 2.33
- B) −7
- C) −2.33
- D) 6
8 Question 8
(Questions 8-10 use this.) X is the number of cars in a household in a town: P(X = 0) = 0.2, P(X = 1) = ?, P(X = 2) = 0.3, P(X = 3) = 0.1. What is P(X = 1)?- A) 0.4
- B) 1
- C) 0.25
- D) 0.6
9 Question 9
(Same household data.) P(X = 0) = 0.2, P(X = 1) = 0.4, P(X = 2) = 0.3, P(X = 3) = 0.1. What is the mean of X?- A) 1.5
- B) 1
- C) 0.25
- D) 1.3
10 Question 10
(Same household data.) What is the standard deviation of X?- A) 0.81
- B) 0.9
- C) 1.3
- D) 2.5
11 Question 11
A team wins each game with probability 0.4, independently. In 6 games, what is the probability that it wins exactly 4?- A) 0.0256
- B) 0.4
- C) 0.1382
- D) 0.6667
12 Question 12
X is normal with mean 50 and standard deviation 10. What is P(X < 60)?- A) 0.8413
- B) 0.6826
- C) 0.1587
- D) 0.9772
13 Question 13
X is normal with mean 50 and standard deviation 10. What is P(45 < X < 60)?- A) 1.1498
- B) 0.8413
- C) 0.3085
- D) 0.5328
14 Question 14
IQ-style scores are normal with mean 100 and standard deviation 15. What score marks the top 10%?- A) 80.8
- B) 119.2
- C) 115
- D) 110
15 Question 15
In a club, boys: 12 like cats and 8 like dogs; girls: 10 like cats and 20 like dogs. A member who likes dogs is picked at random. What is the probability it is a girl?- A) 23
- B) 25
- C) 57
- D) 12
16 Question 16
One card is drawn from a standard deck of 52. What is the probability that it is a face card or a heart?- A) 1126
- B) 2552
- C) 352
- D) 14
17 Question 17
A population has mean 70 and standard deviation 8. For random samples of 16, what is the probability that the sample mean is more than 73?- A) 0.3538
- B) 0.9332
- C) 0.0668
- D) 0.1587
18 Question 18
In a random sample of 400 adults, 120 said yes. What is a 95% confidence interval for the proportion who say yes?- A) (0.2771, 0.3229)
- B) (0.2623, 0.3377)
- C) (0.25, 0.35)
- D) (0.2551, 0.3449)
19 Question 19
In a random sample of 90 students, 27 bike to school. What is a 90% confidence interval for the proportion who bike?- A) (0.2053, 0.3947)
- B) (0.2205, 0.3795)
- C) (0.27, 0.33)
- D) (0.25, 0.35)
20 Question 20
In a random sample of 200 voters, 84 support a plan. What is a 95% confidence interval for the proportion who support it?- A) (0.3516, 0.4884)
- B) (0.3626, 0.4774)
- C) (0.4176, 0.4224)
- D) (0.3851, 0.4549)
21 Question 21
A test of H0: p = 0.5 against Ha: p > 0.5 uses a random sample of 500 in which 270 say yes. At α = 0.05, what is the conclusion?- A) Do not reject H0
- B) Accept Ha because 270 is more than 250
- C) Accept H0
- D) Reject H0
22 Question 22
A test of H0: p = 0.4 against Ha: p ≠ 0.4 uses a random sample of 200 in which 90 agree. At α = 0.05, what is the conclusion?- A) Reject H0
- B) Do not reject H0
- C) Accept Ha
- D) Accept H0
23 Question 23
A test of H0: p = 0.5 against Ha: p < 0.5 uses a random sample of 1000 in which 470 say yes. At α = 0.05, what is the conclusion?- A) Reject H0
- B) Do not reject H0
- C) Accept H0
- D) Accept Ha because the sample is large
24 Question 24
In two random samples of 100, 45 and 30 people say yes. A test of H0: p1 = p2 against Ha: p1 > p2 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 45 is more than 30
25 Question 25
Boys: 20 yes, 30 no; girls: 30 yes, 20 no. A chi-square test of independence is done at α = 0.05. What is the conclusion?- A) Accept Ha because the counts differ
- B) Do not reject H0
- C) Accept H0
- D) Reject H0
26 Question 26
Juniors: 30 bus, 20 car, 10 walk; seniors: 20 bus, 35 car, 15 walk. A chi-square test of independence 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 more seniors drive
27 Question 27
A random sample of 16 has mean 50 and standard deviation 8. What is a 95% t-interval for the population mean?- A) (46.08, 53.92)
- B) (32.952, 67.048)
- C) (45.738, 54.262)
- D) (48, 52)
28 Question 28
The population standard deviation is 8. A random sample of 64 has mean 50. What is a 95% z-interval for the mean?- A) (48.04, 51.96)
- B) (48.355, 51.645)
- C) (34.32, 65.68)
- D) (49, 51)
29 Question 29
H0: μ = 30, Ha: μ < 30. A random sample of 16 has mean 28 and standard deviation 4. At α = 0.05, what is the conclusion?- A) Do not reject H0
- B) Reject H0
- C) Accept H0
- D) Accept Ha because 28 is less than 30
30 Question 30
H0: μ = 40, Ha: μ ≠ 40. A random sample of 25 has mean 43 and standard deviation 5. At α = 0.05, what is the conclusion?- A) Accept H0
- B) Do not reject H0
- C) Reject H0
- D) Accept Ha because 43 is not 40
31 Question 31
Five students took a test before and after a course. Before: 70, 65, 80, 75, 60. After: 74, 66, 85, 76, 64. A paired t-test of whether scores went up is done at α = 0.05. What is the conclusion?- A) Reject H0
- B) Do not reject H0
- C) Accept H0
- D) Accept Ha because every score went up
32 Question 32
Group 1: mean 16.2, standard deviation 3, n = 50. Group 2: mean 15, standard deviation 4, n = 40. A test of H0: μ1 = μ2 against Ha: μ1 ≠ μ2 is done at α = 0.05. What is the conclusion?- A) Reject H0
- B) Accept Ha because 16.2 is more than 15
- C) Accept H0
- D) Do not reject H0
33 Question 33
A researcher wants a 95% confidence interval for a mean with a margin of error of at most 3. The standard deviation is 12. What is the smallest sample size?- A) 8
- B) 62
- C) 61
- D) 16
34 Question 34
A population has mean 70 and standard deviation 8. For random samples of 16, what are the mean and the standard deviation of the sample mean?- A) mean 70, SD 8
- B) mean 70, SD 0.5
- C) mean 70, SD 2
- D) mean 17.5, SD 2
35 Question 35
(Questions 35-37 use this.) Five points (x, y): (1, 2), (2, 3), (3, 5), (4, 4), (5, 6). What is the correlation r?- A) 1
- B) 0.81
- C) −0.9
- D) 0.9
36 Question 36
(Same five points.) Which is the least-squares regression line?- A) y = 0.9x + 1.3
- B) y = x + 1
- C) y = 1.3x + 0.9
- D) y = 0.9x
37 Question 37
(Same five points.) Using the line y = 0.9x + 1.3, what is the residual of the point (4, 4)?- A) 0.9
- B) 0
- C) 4.9
- D) −0.9
38 Question 38
A regression line is y = 2x + 1. For the point (3, 8), what is the residual?- A) −1
- B) 7
- C) 1
- D) 8
39 Question 39
Four points (x, y): (1, 9), (3, 6), (5, 4), (7, 1). What is the correlation r, to three decimal places?- A) 0.997
- B) −0.997
- C) −1.3
- D) −0.5
40 Question 40
Five points (x, y): (1, 6), (2, 3), (3, 1), (4, 1), (5, 0). Which is the least-squares regression line?- A) y = −1.4x + 6.4
- B) y = 1.4x + 6.4
- C) y = −1.5x + 7.5
- D) y = −1.4x + 2.2
41 Question 41
Points (0, 2), (1, 4), (2, 8), (3, 16), (4, 32). Which model fits them best?- A) linear
- B) quadratic
- C) neither
- D) exponential
42 Question 42
A game costs nothing to play. You win $10 with probability 15 and lose $2 otherwise. What is the expected value of one game, in dollars?- A) 8
- B) 2
- C) 0.4
- D) −1.6
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.