Statistics Practice Test
32 questions from 16 lessons · 100 minutes · percent score and grade · step-by-step answers
How it works
- 32 questions, about 100 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 15 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Statistics formula sheet.
1 Question 1
Bar chart: Mon 5, Tue 3, Wed 7; how many in allType the answer.
2 Question 2
Dot plot of 3, 5, 4, 6, 5, 7, 5, 4, 6, 5, 8, 5; how many are 6 or moreType the answer.
3 Question 3
Histogram of 12, 25, 31, 18, 27, 22, 35, 29, 15, 24 classes of 10; how many are 20 or moreType the answer.
4 Question 4
Histogram of 72, 85, 91, 68, 77, 83, 95, 79, 88, 74, 81, 86, 69, 92 classes of 10; how many are 80 or moreType the answer.
5 Question 5
Find the mean of grouped data 0-10: 3, 10-20: 7, 20-30: 6, 30-40: 4.- A) mean ≈ 20
- B) mean ≈ 5
- C) mean ≈ 102.5
- D) mean ≈ 20.5
6 Question 6
Find the mean of grouped data 0-1: 5, 1-2: 8, 2-3: 4, 3-4: 3.Type the answer.
7 Question 7
Histogram: class 20-40 has frequency density 1.5, find the frequency- A) −30
- B) 32
- C) 30
- D) 20
8 Question 8
Histogram: class 40-100 has frequency density 0.25, find the frequency- A) 14
- B) 60
- C) −1500
- D) 15
9 Question 9
Calculate 50th percentile of 3, 5, 6, 8, 9, 12, 15Type the answer.
10 Question 10
Percentile of 30 in 30, 25, 18, 30, 40, 35, 22, 30, 28, 45, 33, 20Type the answer.
11 Question 11
Cumulative frequency: 0-10: 4, 10-20: 9, 20-30: 15, 30-40: 8, 40-50: 4, find the median- A) −247
- B) 24.7
- C) −24.7
- D) −2.47
12 Question 12
Cumulative frequency: 20-40: 10, 40-60: 30, 60-80: 25, 80-100: 15, find the lower quartileType the answer.
13 Question 13
Outliers in 2, 15, 17, 18, 20, 21, 23, 45- A) 2
- B) 45
- C) 2 and 45
14 Question 14
Outliers in 0, 10, 11, 12, 13, 14, 15, 16, 30Type the answer.
15 Question 15
Population standard deviation of 4, 8, 6, 5, 7- A) SD ≈ 6
- B) SD ≈ 1.4
- C) SD ≈ 14
- D) SD ≈ 2
16 Question 16
Sample standard deviation of 48, 52, 50, 46, 54Type the answer.
17 Question 17
Scatter plot (1, 2) (2, 4) (3, 5) (4, 4) (5, 7) (6, 8)- A) Positive correlation
- B) Negative correlation
- C) No correlation
18 Question 18
Scatter plot height vs shoe size: (150, 36) (155, 38) (160, 39) (165, 41) (170, 42) (175, 44)- A) Positive correlation
- B) Negative correlation
- C) No correlation
19 Question 19
Correlation coefficient of (1, 2) (2, 4) (3, 6) (4, 8) (5, 10)- A) r = 20
- B) r = 120
- C) r = 3
- D) r = 1
20 Question 20
Correlation coefficient of (2, 3) (3, 6) (5, 4) (6, 9) (9, 8)Type the answer.
21 Question 21
Line of best fit (1, 2) (2, 4) (3, 5) (4, 4) (5, 7)Type the answer.
22 Question 22
Line of best fit (10, 50) (20, 45) (30, 42) (40, 30) (50, 28), predict x = 60Type the answer.
23 Question 23
Line of best fit y = 2x + 1, point (3, 8), find the residualType the answer.
24 Question 24
Line of best fit y = −x + 6, point (1, 3), find the residualType the answer.
25 Question 25
Scatterplot (0, 2) (1, 4) (2, 8) (3, 16) (4, 32): linear or exponential- A) Linear
- B) Exponential
26 Question 26
Scatterplot (0, 1.5) (1, 3) (2, 6.1) (3, 11.9) (4, 24.2): linear or exponential- A) Linear
- B) Exponential
27 Question 27
Normal mean 50 sd 5, percent between 45 and 55- A) 68%
- B) 6800%
- C) 0.15%
- D) 34%
28 Question 28
Normal mean 160 sd 7, percent between 153 and 174Type the answer.
29 Question 29
Calculate z-score of 62, mean 50, sd 8- A) 1.5
- B) 55.75
- C) 15
- D) −1.5
30 Question 30
Find the value with z = 2.5, mean 150, sd 12.Type the answer.
31 Question 31
A survey says 52% with a margin of error of 3%. Is 50% a plausible value?- A) Yes
- B) No
32 Question 32
The mean in a sample is 12.6 with a margin of error of 1.2. Is 14 a plausible value for the mean?- A) Yes
- B) No