Q. The mean of 7, 9, 11, and 13 is what? (2019)
Solution
Mean = (7 + 9 + 11 + 13) / 4 = 40 / 4 = 10.
Correct Answer: B — 10
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Q. The mean of 8, 12, 16, and 20 is what? (2019)
Solution
Mean = (8 + 12 + 16 + 20) / 4 = 56 / 4 = 14.
Correct Answer: B — 15
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Q. The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)
Solution
Standard deviation is the square root of variance. Therefore, SD = √4 = 2.
Correct Answer: A — 2
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Q. The mean of the numbers 4, 8, 10, 12, and x is 10. What is the value of x? (2021)
Solution
Mean = (4 + 8 + 10 + 12 + x) / 5 = 10. Solving gives x = 14.
Correct Answer: C — 14
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Q. The mean of three numbers is 15. If one of the numbers is 10, what is the mean of the other two numbers? (2020)
Solution
Let the other two numbers be a and b. Then, (10 + a + b) / 3 = 15. Solving gives (a + b) = 35, so Mean of a and b = 35 / 2 = 17.5.
Correct Answer: B — 20
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Q. The scores of a test are: 20, 30, 40, 50. What is the standard deviation? (2020)
Solution
Mean = (20 + 30 + 40 + 50) / 4 = 35. Variance = [(20-35)² + (30-35)² + (40-35)² + (50-35)²] / 4 = 125. SD = √125 = 11.18 (approx 10).
Correct Answer: B — 15
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Q. What is the mode of the following data set: 4, 1, 2, 4, 3, 4, 2? (2023)
Solution
The number 4 appears most frequently (3 times). Hence, mode = 4.
Correct Answer: D — 4
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Q. What is the probability of drawing a heart from a standard deck of cards? (2022)
-
A.
1/4
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B.
1/13
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C.
1/52
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D.
3/52
Solution
There are 13 hearts in a deck of 52 cards. Probability = 13/52 = 1/4.
Correct Answer: A — 1/4
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Q. What is the variance of the following numbers: 1, 2, 3, 4, 5, 6? (2022)
-
A.
2.5
-
B.
3.5
-
C.
4.5
-
D.
5.5
Solution
Mean = (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5. Variance = [(1-3.5)² + (2-3.5)² + (3-3.5)² + (4-3.5)² + (5-3.5)² + (6-3.5)²] / 6 = 2.92 (approx 2.5).
Correct Answer: A — 2.5
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