Statistics & Probability for Competitive Exam Success

Statistics & Probability

Bayes Theorem Conditional Probability Measures of Central Tendency Measures of Dispersion Probability Basics

Q. What is the coefficient of variation if the mean is 50 and the standard deviation is 5?

A. 5%
B. 10%
C. 15%
D. 20%

Solution

Coefficient of Variation = (Standard Deviation / Mean) * 100 = (5 / 50) * 100 = 10%.

Correct Answer: B — 10%

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Q. What is the coefficient of variation if the mean is 50 and the standard deviation is 10?

A. 20%
B. 10%
C. 15%
D. 25%

Solution

Coefficient of variation = (Standard deviation / Mean) * 100 = (10 / 50) * 100 = 20%.

Correct Answer: A — 20%

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Q. What is the interquartile range (IQR) of the data set {1, 3, 5, 7, 9, 11, 13, 15}?

A. 4
B. 6
C. 8
D. 10

Solution

Q1 = 4, Q3 = 10. IQR = Q3 - Q1 = 10 - 4 = 6.

Correct Answer: B — 6

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Q. What is the interquartile range (IQR) of the data set {1, 3, 7, 8, 9, 10}?

A. 5
B. 6
C. 4
D. 3

Solution

IQR = Q3 - Q1; Q1 = 3, Q3 = 8; IQR = 8 - 3 = 5.

Correct Answer: A — 5

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Q. What is the interquartile range (IQR) of the data set {1, 3, 7, 8, 9}?

A. 6
B. 5
C. 4
D. 3

Solution

Q1 = 3, Q3 = 8. IQR = Q3 - Q1 = 8 - 3 = 5.

Correct Answer: A — 6

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Q. What is the interquartile range (IQR) of the data set: 1, 2, 3, 4, 5, 6, 7, 8, 9?

A. 4
B. 5
C. 6
D. 3

Solution

Q1 = 3, Q3 = 7; IQR = Q3 - Q1 = 7 - 3 = 4.

Correct Answer: A — 4

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Q. What is the interquartile range (IQR) of the data set: 1, 3, 5, 7, 9, 11, 13?

A. 4
B. 6
C. 8
D. 10

Solution

Q1 = 3, Q3 = 9. IQR = Q3 - Q1 = 9 - 3 = 6.

Correct Answer: B — 6

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Q. What is the mean of the data set: 2, 4, 6, 8, 10?

A. 4
B. 5
C. 6
D. 8

Solution

Mean = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6.

Correct Answer: C — 6

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Q. What is the mean of the data set: 5, 10, 15, 20, 25?

A. 10
B. 15
C. 20
D. 25

Solution

Mean = (5 + 10 + 15 + 20 + 25) / 5 = 75 / 5 = 15.

Correct Answer: B — 15

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Q. What is the mean of the first five prime numbers?

A. 5
B. 6
C. 7
D. 8

Solution

Mean = (2 + 3 + 5 + 7 + 11) / 5 = 28 / 5 = 5.6.

Correct Answer: B — 6

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Q. What is the mean of the following data set: 2, 4, 6, 8, 10?

A. 4
B. 5
C. 6
D. 7

Solution

Mean = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6.

Correct Answer: C — 6

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Q. What is the mean of the following data set: 5, 10, 15, 20, 25?

A. 10
B. 15
C. 20
D. 25

Solution

Mean = (5 + 10 + 15 + 20 + 25) / 5 = 75 / 5 = 15

Correct Answer: B — 15

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Q. What is the mean of the following data: 2, 4, 6, 8, 10?

A. 5
B. 6
C. 7
D. 8

Solution

Mean = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6.

Correct Answer: B — 6

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Q. What is the mean of the following numbers: 1, 1, 1, 1, 1?

A. 1
B. 2
C. 0
D. 5

Solution

Mean = (1 + 1 + 1 + 1 + 1) / 5 = 5 / 5 = 1.

Correct Answer: A — 1

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Q. What is the mean of the following numbers: 2, 4, 6, 8, 10, 12?

A. 6
B. 7
C. 8
D. 9

Solution

Mean = (2 + 4 + 6 + 8 + 10 + 12) / 6 = 42 / 6 = 7.

Correct Answer: C — 8

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Q. What is the mean of the following numbers: 2, 4, 6, 8, 10?

A. 5
B. 6
C. 7
D. 8

Solution

Mean = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6.

Correct Answer: B — 6

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Q. What is the mean of the following numbers: 4, 8, 12, 16, 20?

A. 10
B. 12
C. 14
D. 16

Solution

Mean = (4 + 8 + 12 + 16 + 20) / 5 = 60 / 5 = 12.

Correct Answer: B — 12

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Q. What is the mean of the following numbers: 4, 8, 12, 16?

A. 8
B. 10
C. 12
D. 14

Solution

Mean = (4 + 8 + 12 + 16) / 4 = 40 / 4 = 10.

Correct Answer: B — 10

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Q. What is the median of the data set {7, 3, 5, 9, 1}?

A. 5
B. 3
C. 4
D. 7

Solution

First, arrange the data: {1, 3, 5, 7, 9}. The median is the middle value, which is 5.

Correct Answer: A — 5

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Q. What is the median of the following data set: 1, 3, 3, 6, 7, 8, 9?

A. 3
B. 6
C. 7
D. 8

Solution

Median = 6 (middle value of the ordered set).

Correct Answer: B — 6

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Q. What is the median of the following data set: 3, 1, 4, 2, 5?

A. 2
B. 3
C. 4
D. 5

Solution

Sorted data: 1, 2, 3, 4, 5. Median = 3 (middle value).

Correct Answer: B — 3

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Q. What is the median of the following data set: 3, 5, 7, 9, 11, 13, 15?

A. 7
B. 8
C. 9
D. 10

Solution

Median = 9 (middle value).

Correct Answer: C — 9

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Q. What is the median of the following numbers: 1, 3, 3, 6, 7, 8, 9?

A. 3
B. 6
C. 7
D. 8

Solution

Median = 6 (middle value of the ordered set).

Correct Answer: B — 6

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Q. What is the median of the following numbers: 12, 15, 14, 10, 18?

A. 12
B. 14
C. 15
D. 18

Solution

Arranging the numbers: 10, 12, 14, 15, 18. Median = 14.

Correct Answer: B — 14

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Q. What is the median of the following numbers: 3, 1, 4, 2, 5?

A. 2
B. 3
C. 4
D. 5

Solution

Arranging in order: 1, 2, 3, 4, 5. Median = 3.

Correct Answer: B — 3

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Q. What is the median of the following numbers: 3, 7, 8, 12, 14?

A. 7
B. 8
C. 10
D. 12

Solution

Median = 8 (middle value in ordered list).

Correct Answer: B — 8

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Q. What is the median of the following numbers: 7, 9, 12, 15, 18, 20?

A. 12
B. 13
C. 14
D. 15

Solution

Median = (12 + 15) / 2 = 27 / 2 = 13.5.

Correct Answer: A — 12

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Q. What is the mode of the data set: 1, 2, 2, 3, 4, 4, 4, 5?

A. 1
B. 2
C. 3
D. 4

Solution

The mode is the number that appears most frequently, which is 4.

Correct Answer: D — 4

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Q. What is the mode of the data set: 1, 2, 2, 3, 4?

A. 1
B. 2
C. 3
D. 4

Solution

Mode is the number that appears most frequently. Here, mode = 2.

Correct Answer: B — 2

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Q. What is the mode of the data set: 5, 1, 2, 5, 3, 5, 4?

A. 1
B. 2
C. 5
D. 3

Solution

Mode is the number that appears most frequently. Here, mode = 5.

Correct Answer: C — 5

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Statistics & Probability

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