Q. The following data set represents the ages of participants in a survey: 22, 25, 22, 30, 25, 22, 28. What is the mode?
Solution
The mode is 22, as it appears most frequently (three times) in the data set.
Correct Answer: A — 22
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Q. The following data shows the number of goals scored by a team in 7 matches: 1, 2, 2, 3, 2, 4, 5. What is the mode?
Solution
The mode is 2, as it appears 3 times, more than any other number.
Correct Answer: B — 2
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Q. The following data shows the number of pets owned by families: 1, 1, 2, 2, 3, 3, 3, 4. 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 books read by students: 1, 2, 2, 3, 4, 4, 4, 5. What is the mode?
Solution
The mode is 4, as it appears three times, which is more than any other number.
Correct Answer: C — 4
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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 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 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 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 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 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 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 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 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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Q. The standard deviation of a data set is 5. If all values are increased by 2, what will be the new standard deviation? (2020)
Solution
Standard deviation is unaffected by adding a constant. Therefore, new SD = 5.
Correct Answer: B — 5
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Q. Two dice are thrown simultaneously. What is the probability that the sum of the numbers on the dice is 7?
-
A.
1/6
-
B.
1/12
-
C.
1/36
-
D.
1/3
Solution
Possible outcomes for sum = 7 are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 outcomes. Total outcomes = 6 * 6 = 36. Probability = 6/36 = 1/6.
Correct Answer: A — 1/6
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Q. What is the mean of the following data set: 4, 8, 6, 5, 3? (2021)
Solution
Mean = (4 + 8 + 6 + 5 + 3) / 5 = 26 / 5 = 5.2, rounded down to 5.
Correct Answer: C — 6
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Q. What is the median of the following data set: 12, 15, 14, 10, 18? (2023)
Solution
First, arrange the data in ascending order: 10, 12, 14, 15, 18. The median is the middle value, which is 14.
Correct Answer: B — 14
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