Master ACT Geometry with Our Statistics Practice Test/Quiz

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30 random questions |30 minutes | Questions are randomized every attempt. Good luck!

ACT Math - Statistics Practice Test

Test your ACT statistics skills with 30 random test practice questions covering mean, median, mode, and probability!

1 / 30

1. What is P(A and B) if P(A)=0.5, P(B)=0.4, and they are independent?

A) 0.1

B) 0.9

C) 0.2

D) 0.45

P(A∩B)=P(A)×P(B)=0.5×0.4=0.2.

2 / 30

2. How many ways can you choose 2 flavors from 5 different flavors?

A) 15

B) 25

C) 20

D) 10

C(5,2)=10.

3 / 30

3. What is the mean of 0, 0, 6, 12, 12?

A) 7

B) 6

C) 8

D) 5

Mean = (0+0+6+12+12)/5 = 30/5 = 6.

4 / 30

4. A box has 2 red, 3 blue, 5 green. If 2 drawn without replacement, P(both green)?

A) 2/9

B) 1/2

C) 5/9

D) 1/4

5/10×4/9=20/90=2/9.

5 / 30

5. If 5 cards are drawn from a deck, what is the probability they're all from the same suit?

A) C(13,5)

B) 4/52

C) C(13,5)/C(52,5)

D) 4×C(13,5)/C(52,5)

4 suits × C(13,5)/C(52,5).

6 / 30

6. Data: 10, 20, 20, 30, 40, 40, 40, 50. What is the mode?

A) 20

B) 30

C) 50

D) 40

40 appears 3 times — most frequent.

7 / 30

7. What is the probability of getting at least one 6 when rolling two dice?

A) 11/36

B) 1/36

C) 1/6

D) 10/36

P(no 6)=5/6×5/6=25/36. P(at least one)=1-25/36=11/36.

8 / 30

8. In a data set, which measure is NOT affected by adding a constant to all values?

A) Mean

B) Median

C) Mode

D) Range

Range=max-min. Adding constant shifts all values equally, range unchanged.

9 / 30

9. What is the mode of: 12,15,12,18,15,12,20?

A) 18

B) 12

C) 20

D) 15

12 appears 3 times — most frequent.

10 / 30

10. What is P(sum > 10) when rolling two dice?

A) 3/36

B) 1/9

C) 1/12

D) 1/6

Sums>10: (5,6),(6,5),(6,6)=3. P=3/36=1/12.

11 / 30

11. From a class of 10 boys and 15 girls, 2 are chosen randomly. P(both girls)?

A) 30/625

B) 15/25

C) C(15,2)/C(25,2)

D) C(10,2)/C(25,2)

P=C(15,2)/C(25,2)=105/300=7/20.

12 / 30

12. How many ways can a president and vice president be chosen from 10 candidates?

A) 100

B) 10

C) 90

D) 45

P(10,2)=10×9=90.

13 / 30

13. C(6,2) = ?

A) 30

B) 12

C) 18

D) 15

6!/(2!4!)=15.

14 / 30

14. Two fair coins are flipped. What is P(at least one head)?

A) 3/4

B) 1/4

C) 2/3

D) 1/2

P(no heads) = 1/4. P(at least one head) = 1 - 1/4 = 3/4.

15 / 30

15. Which measure is LEAST affected by outliers?

A) Range

B) Mean

C) Variance

D) Median

Median is resistant to outliers — it only uses the middle value(s).

16 / 30

16. A card is drawn from 52. What is P(heart or king)?

A) 4/52

B) 16/52

C) 17/52

D) 13/52

Hearts=13, Kings=4, King of hearts=1. P=(13+4-1)/52=16/52.

17 / 30

17. What is P(not A) if P(A) = 0.35?

A) 0.35

B) 0.65

C) 0.75

D) 0.55

P(not A) = 1 - 0.35 = 0.65.

18 / 30

18. In a set of 7 numbers, the mean is 14. One number is removed; new mean is 12. What was removed?

A) 24

B) 30

C) 28

D) 26

Sum=98. New sum with 6 values at mean 12=72. Removed=26.

19 / 30

19. What is the expected value of drawing a card (ace=1, face=10, others=face)?

A) 5

B) 7

C) 8

D) 6.5

(1×4+10×12+2+3+...+9)×4 ... standard expected value of a card ≈ 6.54. Closest: 6.5.

20 / 30

20. In how many ways can letters of BANANA be arranged?

A) 720

B) 360

C) 60

D) 120

6!/(3!×2!×1!)=720/12=60.

21 / 30

21. A class of 30 students: 18 passed. What percent passed?

A) 70%

B) 60%

C) 55%

D) 65%

18/30 × 100 = 60%.

22 / 30

22. In a class of 30, 12 got A's. P(A) = ?

A) 12/42

B) 1/3

C) 2/5

D) 5/12

12/30=2/5.

23 / 30

23. What is the mode of a data set where each value appears once?

A) The largest value

B) The middle value

C) No mode

D) The mean

No mode when all values have same frequency.

24 / 30

24. What is the mean deviation concept used to measure?

A) The probability of an event

B) The central value

C) The average spread of data from the mean

D) The most common value

Mean absolute deviation measures average distance from the mean.

25 / 30

25. A bag has 3 green, 4 yellow, 5 purple. P(not purple)?

A) 1/2

B) 7/12

C) 5/7

D) 5/12

Not purple=7. P=7/12.

26 / 30

26. What is the mean of the data: 1,4,9,16,25?

A) 10

B) 11

C) 9

D) 15

(1+4+9+16+25)/5=55/5=11.

27 / 30

27. What is the number of ways to choose 3 students from a group of 5?

A) 12

B) 10

C) 8

D) 6

C(5,3) = 5!/(3!×2!) = 10.

28 / 30

28. P(A) = 0.4, P(B) = 0.3 and A, B are independent. What is P(A and B)?

A) 0.7

B) 0.1

C) 0.7

D) 0.12

P(A and B) = 0.4 × 0.3 = 0.12.

29 / 30

29. In a group of 8, how many ways to choose a team of 3?

A) 48

B) 16

C) 24

D) 56

C(8,3)=56.

30 / 30

30. What is the complement of P(rolling a 1) on a die?

A) 0

B) 1

C) 1/6

D) 5/6

P(not 1)=1-1/6=5/6.

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