Q. The following numbers represent the number of hours studied by students: 1, 2, 2, 3, 3, 4, 4, 4, 5. What is the mode?
Solution
The mode is 4, as it appears most frequently (3 times) in the data set.
Correct Answer: C — 4
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Q. The following numbers represent the number of hours studied by students: 5, 6, 5, 7, 8, 5, 6. What is the mode?
Solution
The mode is 5, as it appears 3 times, more than any other number.
Correct Answer: A — 5
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Q. The following numbers represent the number of hours studied by students: 5, 6, 6, 7, 8, 8, 8, 9, 10. What is the mode?
Solution
The mode is 8, as it appears most frequently (3 times) in the data set.
Correct Answer: C — 8
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Q. The following numbers represent the number of languages spoken by individuals: 1, 2, 2, 3, 3, 3, 4, 5. What is the mode?
Solution
The mode is 3, as it appears most frequently (3 times) in the data set.
Correct Answer: C — 3
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Q. The following numbers represent the number of pets owned by families: 0, 1, 1, 2, 2, 2, 3, 4. What is the mode?
Solution
The mode is 2, as it appears most frequently (3 times) in the data set.
Correct Answer: C — 2
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Q. The following numbers represent the scores of a test: 45, 55, 65, 75, 85, 95. What is the median score? (2019)
Solution
Arrange the scores: 45, 55, 65, 75, 85, 95. The median is the average of the 3rd and 4th scores: (65 + 75) / 2 = 70.
Correct Answer: C — 75
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Q. The following scores were obtained in a quiz: 10, 10, 20, 20, 20, 30, 30, 40. What is the mode?
Solution
The mode is 20, as it appears most frequently (3 times) in the data set.
Correct Answer: B — 20
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Q. The mean of 5, 10, 15, and 20 is what?
-
A.
10
-
B.
12.5
-
C.
15
-
D.
17.5
Solution
Mean = (5 + 10 + 15 + 20) / 4 = 50 / 4 = 12.5.
Correct Answer: C — 15
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Q. The mean of 5, 10, 15, and x is 12. What is the value of x?
Solution
Mean = (5 + 10 + 15 + x) / 4 = 12. Therefore, 30 + x = 48, so x = 18.
Correct Answer: A — 8
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Q. The mean of 5, 15, 25, and x is 20. Find the value of x. (2023)
Solution
Mean = (5 + 15 + 25 + x) / 4 = 20. Solving gives x = 30.
Correct Answer: C — 30
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Q. The mean of 5, 15, and x is 10. What is the value of x? (2020)
Solution
Mean = (5 + 15 + x) / 3 = 10. Therefore, 20 + x = 30, so x = 10.
Correct Answer: D — 20
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Q. The mean of 7, 9, 11, 13, and x is 10. Find the value of x.
Solution
Mean = (7 + 9 + 11 + 13 + x) / 5 = 10. Solving gives x = 5.
Correct Answer: A — 5
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Q. The mean of 7, 9, 11, 13, and x is 10. What is the value of x?
Solution
Mean = (7 + 9 + 11 + 13 + x) / 5 = 10.\n\n40 + x = 50\n\nx = 50 - 40 = 10.
Correct Answer: A — 5
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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 8, 12, 16, and x is 14. Find the value of x.
Solution
Mean = (8 + 12 + 16 + x) / 4 = 14. Therefore, 36 + x = 56, so x = 20.
Correct Answer: A — 10
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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 a set of numbers is 25. If one number is increased by 5, how does the mean change?
-
A.
Increases by 1
-
B.
Increases by 0.5
-
C.
Remains the same
-
D.
Decreases by 1
Solution
Increasing one number by 5 increases the total sum by 5. If there are n numbers, the mean increases by 5/n.
Correct Answer: A — Increases by 1
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Q. The mean of five consecutive integers is 12. What is the smallest of these integers?
Solution
Let the integers be x, x+1, x+2, x+3, x+4. Mean = (5x + 10) / 5 = 12. Solving gives x = 10.
Correct Answer: A — 10
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Q. The mean of the first four prime numbers is what? (2019)
Solution
The first four prime numbers are 2, 3, 5, and 7. Mean = (2 + 3 + 5 + 7) / 4 = 17 / 4 = 4.25.
Correct Answer: C — 5
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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 the numbers 4, 8, 12, and x is 10. What is the value of x?
Solution
Mean = (4 + 8 + 12 + x) / 4 = 10. Therefore, 4 + 8 + 12 + x = 40. So, x = 40 - 24 = 16.
Correct Answer: C — 16
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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 mean of three numbers is 30. If one of the numbers is 20, what is the mean of the other two numbers? (2023)
Solution
Let the three numbers be a, b, c. Then, (a + b + 20) / 3 = 30. Thus, a + b = 90, and the mean of a and b = 90 / 2 = 45.
Correct Answer: A — 25
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Q. The median of the data set 3, 7, 8, 12, x is 8. What is the value of x? (2023)
Solution
For the median to be 8, x must be less than or equal to 8. The only value that satisfies this is x = 6.
Correct Answer: A — 6
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Q. The median of the data set 3, 7, 9, 12, 15 is: (2022)
Solution
Median = 9 (middle value of the ordered data set)
Correct Answer: B — 9
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Q. The median of the following data set: 3, 7, 9, 15, 20 is?
Solution
Arranging the data: 3, 7, 9, 15, 20. Median = 9 (middle value).
Correct Answer: B — 9
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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. The scores of five students are: 20, 22, 24, 26, 28. What is the standard deviation? (2020)
Solution
Mean = (20 + 22 + 24 + 26 + 28) / 5 = 24. Variance = [(20-24)² + (22-24)² + (24-24)² + (26-24)² + (28-24)²] / 5 = 8. SD = √8 = 2.83 (approximately 3).
Correct Answer: A — 2
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Q. The scores of five students are: 20, 22, 24, 26, 28. What is the variance? (2020)
Solution
Mean = (20 + 22 + 24 + 26 + 28) / 5 = 24. Variance = [(20-24)² + (22-24)² + (24-24)² + (26-24)² + (28-24)²] / 5 = 8.
Correct Answer: A — 4
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