Q. If the variance of a sample is 25, what is the standard deviation? (2023)
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Solution
Standard deviation is the square root of variance. Therefore, SD = √25 = 5.
Correct Answer: A — 5
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Q. In a class of 15 students, their ages are: 14, 15, 16, 14, 15, 16, 17, 18, 19, 20, 14, 15, 16, 17, 18. What is the median age? (2023)
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Solution
Arranging the ages: 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 18, 18, 19, 20. The median is the 8th number, which is 16.
Correct Answer: B — 16
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Q. In a class of 30 students, 18 are boys and 12 are girls. If one student is selected at random, what is the probability that the student is a girl?
A.
2/5
B.
1/3
C.
1/2
D.
3/5
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Solution
Probability = Number of girls / Total students = 12/30 = 2/5.
Correct Answer: A — 2/5
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Q. In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?
A.
1/3
B.
2/5
C.
1/2
D.
3/5
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Solution
Number of girls = 30 - 18 = 12. Probability = Number of girls / Total students = 12/30 = 2/5.
Correct Answer: A — 1/3
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Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 50, 55, 60, 60, 60, 70, 75. What is the mode of the marks? (2019)
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Solution
The number 60 appears most frequently (3 times), so the mode is 60.
Correct Answer: B — 60
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Q. In a class of 5 students, their ages are 16, 18, 17, 19, and 20. What is the median age? (2022)
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Solution
Arrange the ages: 16, 17, 18, 19, 20. The median is the middle value, which is 18.
Correct Answer: B — 18
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Q. In a class, the marks obtained by students are: 45, 55, 45, 60, 70, 55, 55. What is the mode of the marks?
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Solution
The mode is 55, as it appears three times in the data set.
Correct Answer: B — 55
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Q. In a class, the number of languages spoken by students are: 1, 2, 2, 3, 3, 4, 4, 4. What is the mode?
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Solution
The mode is 4, as it appears most frequently (3 times) in the data set.
Correct Answer: D — 4
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Q. In a class, the number of pets owned by students is recorded as follows: 0, 1, 2, 1, 3, 1, 2. What is the mode?
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Solution
The mode is 1, which appears 3 times in the data set.
Correct Answer: B — 1
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Q. In a class, the number of students who scored the following grades: A, A, B, B, B, C, C, D. What is the mode?
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Solution
The mode is B, as it appears most frequently (3 times) in the data set.
Correct Answer: B — B
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Q. In a data set of 10 numbers, if the numbers are arranged in ascending order, what is the median? (2020)
A.
Average of 5th and 6th
B.
5th number
C.
6th number
D.
Average of 1st and 10th
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Solution
For an even number of observations, the median is the average of the two middle numbers, which are the 5th and 6th numbers.
Correct Answer: A — Average of 5th and 6th
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Q. In a data set of 10 numbers, the mode is 5. If the number 5 is replaced by 7, what will be the new mode? (2021)
A.
5
B.
7
C.
No mode
D.
Cannot be determined
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Solution
Replacing 5 with 7 removes the most frequent number, so the new mode is 7.
Correct Answer: B — 7
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Q. In a data set of 10 numbers, the numbers are: 2, 3, 4, 4, 5, 5, 5, 6, 7, 8. What is the mode of this data set?
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Solution
The mode is the number that appears most frequently. Here, 5 appears 3 times, which is more than any other number.
Correct Answer: C — 5
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Q. In a data set of 12 values: 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 7, what is the mode? (2023)
A.
1
B.
2
C.
5
D.
No mode
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Solution
The number 5 appears most frequently (3 times), so the mode is 5.
Correct Answer: C — 5
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Q. In a data set of 7 values: 5, 3, 8, 6, 2, 4, 7, what is the median? (2021)
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Solution
Arrange the numbers: 2, 3, 4, 5, 6, 7, 8. The median is the middle number, which is 5.
Correct Answer: B — 5
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Q. In a data set, the numbers 3, 7, 7, 2, 5, 7, 8, 9, 2, 3 are given. What is the mode of this data set?
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Solution
The mode is the number that appears most frequently. Here, 7 appears 3 times, which is more than any other number.
Correct Answer: C — 7
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Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 4. What is the mode of this data set?
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Solution
The mode is the number that appears most frequently. Here, 7 appears three times, which is more than any other number.
Correct Answer: D — 7
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Q. In a data set, the numbers are 3, 7, 7, 2, 5, 7, 8, 9. What is the mode of the data set?
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Solution
The mode is the number that appears most frequently. Here, 7 appears three times, which is more than any other number.
Correct Answer: C — 7
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Q. In a family with 3 children, what is the probability that at least one of them is a girl?
A.
1/8
B.
1/2
C.
7/8
D.
3/8
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Solution
The only scenario where there are no girls is if all three children are boys, which has a probability of (1/2)^3 = 1/8. Therefore, the probability of having at least one girl is 1 - 1/8 = 7/8.
Correct Answer: C — 7/8
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Q. In a frequency distribution, the following data is given: 1 (2 times), 2 (3 times), 3 (3 times), 4 (1 time). What is the mode? (2020)
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Solution
Both 2 and 3 appear 3 times, but since 2 is the smallest, the mode is 2.
Correct Answer: B — 2
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Q. In a group of 15 people, the ages are: 20, 21, 21, 22, 22, 22, 23, 24, 25, 25, 25, 26, 27, 28, 29. What is the mode of the ages? (2022)
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Solution
The age 22 appears 3 times, which is more than any other age, so the mode is 22.
Correct Answer: C — 25
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Q. In a group of friends, the number of games played is: 3, 3, 4, 4, 4, 5, 6. What is the mode of the games played?
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Solution
The mode is 4, as it appears most frequently (3 times) in the data set.
Correct Answer: B — 4
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Q. In a group of friends, the number of movies watched last month are: 1, 1, 2, 2, 3, 3, 3, 4. What is the mode?
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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. In a lottery, the probability of winning is 0.2. What is the probability of losing?
A.
0.2
B.
0.5
C.
0.8
D.
0.1
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Solution
Probability of losing = 1 - P(winning) = 1 - 0.2 = 0.8.
Correct Answer: C — 0.8
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Q. In a set of data: 5, 6, 7, 7, 8, 8, 8, 9, 10, 10, what is the mode?
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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. In a set of numbers: 10, 20, 30, 40, 50, what is the median? (2023)
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Solution
The numbers are in order. The median is the average of the 3rd and 4th numbers: (30 + 40) / 2 = 35.
Correct Answer: B — 30
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Q. In a set of numbers: 5, 6, 7, 5, 8, 5, 9, 6, what is the mode?
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Solution
The mode is 5, as it appears four times in the data set.
Correct Answer: A — 5
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Q. In a survey of favorite fruits, the responses were: Apple, Banana, Banana, Cherry, Cherry, Cherry, Date. What is the mode?
A.
Apple
B.
Banana
C.
Cherry
D.
Date
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Solution
The mode is Cherry, as it appears most frequently (3 times) in the data set.
Correct Answer: C — Cherry
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Q. In a survey of favorite fruits, the results were: Apple, Banana, Banana, Cherry, Cherry, Cherry, Date. What is the mode?
A.
Apple
B.
Banana
C.
Cherry
D.
Date
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Solution
The mode is Cherry, as it appears most frequently (3 times) in the survey results.
Correct Answer: C — Cherry
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Q. In a survey, 60% of people prefer tea over coffee. If 200 people were surveyed, how many prefer tea? (2019)
A.
120
B.
100
C.
80
D.
60
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Solution
Number of people preferring tea = 60% of 200 = 0.6 * 200 = 120.
Correct Answer: A — 120
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