Q. If the scores of a student in five subjects are 70, 80, 90, 100, and 60, what is the median score?
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Solution
Median = 80 (middle value when arranged: 60, 70, 80, 90, 100).
Correct Answer: B — 80
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Q. If the standard deviation of a data set is 0, what can be said about the data?
A.
All values are different
B.
All values are the same
C.
Values are in a range
D.
Data is not valid
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Solution
A standard deviation of 0 indicates that all values in the data set are the same.
Correct Answer: B — All values are the same
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Q. If the standard deviation of a data set is 3, what is the variance?
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Solution
Variance = (Standard Deviation)^2 = 3^2 = 9.
Correct Answer: C — 9
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Q. If the standard deviation of a data set is 4, what is the variance?
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Solution
Variance = (Standard Deviation)² = 4² = 16.
Correct Answer: B — 16
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Q. If the standard deviation of a data set is 5, what is the variance?
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Solution
Variance is the square of the standard deviation. Variance = 5² = 25.
Correct Answer: C — 25
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Q. If the variance of a data set is 16, what is the standard deviation?
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Solution
Standard deviation = √variance = √16 = 4.
Correct Answer: A — 4
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Q. If two coins are tossed, what is the probability of getting at least one head?
A.
1/4
B.
1/2
C.
3/4
D.
1
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Solution
Total outcomes = 4 (HH, HT, TH, TT). At least one head = 3 outcomes. Probability = 3/4.
Correct Answer: C — 3/4
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Q. If two dice are rolled, what is the probability of getting a sum of 7?
A.
1/6
B.
1/12
C.
1/36
D.
1/18
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Solution
Possible combinations for sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6 combinations. Total outcomes = 36. Probability = 6/36 = 1/6.
Correct Answer: A — 1/6
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Q. In a bag containing 3 red, 2 blue, and 5 green balls, what is the probability of drawing a blue ball?
A.
1/5
B.
1/4
C.
1/10
D.
1/2
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Solution
Total balls = 3 + 2 + 5 = 10. Probability of drawing a blue ball = Number of blue balls / Total balls = 2/10 = 1/5.
Correct Answer: B — 1/4
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Q. In a bag of 10 balls, 4 are red and 6 are blue. What is the probability of picking a red ball?
A.
2/5
B.
4/10
C.
3/5
D.
1/2
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Solution
Probability = Number of red balls / Total balls = 4/10 = 2/5.
Correct Answer: B — 4/10
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Q. In a box of 10 balls, 4 are red and 6 are blue. What is the probability of picking a red ball?
A.
0.4
B.
0.5
C.
0.6
D.
0.7
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Solution
Probability = Number of red balls / Total balls = 4/10 = 0.4.
Correct Answer: A — 0.4
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Q. In a box of 100 balls, 30 are red, 50 are blue, and 20 are green. What is the probability of picking a red ball?
A.
0.3
B.
0.5
C.
0.2
D.
0.1
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Solution
Probability = Number of red balls / Total balls = 30/100 = 0.3.
Correct Answer: A — 0.3
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Q. In a box, there are 5 white and 3 black balls. If a ball is drawn and it is black, what is the probability that the next ball drawn is white?
A.
0.625
B.
0.5
C.
0.375
D.
0.25
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Solution
After drawing a black ball, there are 5 white and 2 black balls left. The probability of drawing a white ball next is 5/(5+2) = 5/7 ≈ 0.625.
Correct Answer: A — 0.625
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Q. In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
A.
1/2
B.
2/3
C.
1/3
D.
1/4
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Solution
The total number of students that are not boys is 12 (girls). The probability of selecting a girl given that the student is not a boy is 12/12 = 1.
Correct Answer: B — 2/3
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Q. In a class of 30 students, 18 are boys and 12 are girls. If a 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
The probability of selecting a girl is the number of girls divided by the total number of students, which is 12/30 = 2/5.
Correct Answer: A — 2/5
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Q. In a class of 30 students, 18 are boys and 12 are girls. What is the probability of randomly selecting a girl?
A.
2/5
B.
1/3
C.
1/2
D.
3/5
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Solution
The probability of selecting a girl is the number of girls divided by the total number of students, which is 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 of randomly selecting a girl?
A.
0.4
B.
0.6
C.
0.5
D.
0.3
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Solution
Number of girls = 30 - 18 = 12. Probability = 12/30 = 0.4.
Correct Answer: A — 0.4
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Q. In a class of 30 students, 18 are girls. If a student is selected at random, what is the probability that the student is a girl?
A.
3/5
B.
2/5
C.
1/2
D.
1/3
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Solution
Probability = Number of girls / Total students = 18/30 = 3/5.
Correct Answer: A — 3/5
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Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65. What is the median?
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Solution
Arranging the data: 45, 50, 55, 60, 65. Median = 55 (middle value).
Correct Answer: B — 55
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Q. In a class of 30 students, the marks obtained are as follows: 45, 50, 55, 60, 65, 70, 75, 80, 85, 90. What is the median?
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Solution
Median = (70 + 75) / 2 = 145 / 2 = 72.5, but since we have to choose from options, the closest is 75.
Correct Answer: C — 75
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Q. In a class of 40 students, 25 are girls and 15 are boys. If a student is selected at random, what is the probability that the student is a boy given that the student is not a girl?
A.
1
B.
0.5
C.
0.25
D.
0.75
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Solution
If a student is not a girl, they must be a boy. Therefore, P(Boy | Not Girl) = 15/15 = 1.
Correct Answer: A — 1
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Q. In a class of 40 students, 25 are girls. What is the probability of selecting a boy?
A.
0.375
B.
0.625
C.
0.5
D.
0.25
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Solution
Number of boys = 40 - 25 = 15. Probability = 15/40 = 0.375.
Correct Answer: B — 0.625
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Q. In a class of 40 students, 25 are taking Mathematics, 15 are taking Physics, and 10 are taking both. What is the probability that a student is taking Physics given that they are taking Mathematics?
A.
1/4
B.
1/3
C.
1/2
D.
1/5
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Solution
P(Physics | Mathematics) = P(Physics and Mathematics) / P(Mathematics) = 10/25 = 2/5.
Correct Answer: C — 1/2
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Q. In a class of 5 students, their scores are 10, 20, 30, 40, and 50. What is the median score?
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Solution
Median = 30 (middle value when arranged in order: 10, 20, 30, 40, 50).
Correct Answer: B — 30
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Q. In a class of 5 students, their scores are 12, 15, 18, 20, and 25. What is the median score?
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Solution
Arranging the scores: 12, 15, 18, 20, 25. Median = 18 (middle value).
Correct Answer: B — 18
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Q. In a class of 5 students, their scores are 12, 15, 20, 25, and 28. What is the median score?
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Solution
Arranging the scores: 12, 15, 20, 25, 28. Median = 20 (middle value).
Correct Answer: B — 20
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Q. In a class of 5 students, their scores are 80, 90, 70, 85, and 95. What is the median score?
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Solution
Arranging the scores: 70, 80, 85, 90, 95. Median = 85 (middle value).
Correct Answer: B — 85
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Q. In a data set, if the mean is 30 and the median is 25, what can be inferred about the data?
A.
Skewed right
B.
Skewed left
C.
Symmetrical
D.
Uniform
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Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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Q. In a data set, if the mean is 30 and the median is 25, what can be inferred?
A.
Data is skewed right
B.
Data is skewed left
C.
Data is symmetric
D.
Data is uniform
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Solution
Since the mean is greater than the median, the data is skewed to the right.
Correct Answer: A — Data is skewed right
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Q. In a data set, if the mean is 50 and the median is 45, what can be inferred about the data?
A.
Skewed right
B.
Skewed left
C.
Symmetric
D.
Uniform
Show solution
Solution
Since the mean is greater than the median, the data is skewed right.
Correct Answer: A — Skewed right
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