Statistics & Probability for Competitive Exam Success

Statistics & Probability

Data Collection and Representation Data Collection and Representation - Applications Data Collection and Representation - Case Studies Data Collection and Representation - Problem Set Measures of Central Tendency (Mean, Median, Mode) Measures of Central Tendency (Mean, Median, Mode) - Applications Measures of Central Tendency (Mean, Median, Mode) - Case Studies Permutations and Combinations Basics Probability - Basic Concepts

Q. In the data set 10, 20, 20, 30, 40, what is the mode?

A. 10
B. 20
C. 30
D. 40

Solution

The mode is the number that appears most frequently. Here, 20 appears twice, so the mode is 20.

Correct Answer: B — 20

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Q. In the data set 2, 3, 5, 7, 7, what is the mode?

A. 2
B. 3
C. 5
D. 7

Solution

The mode is the number that appears most frequently, which is 7.

Correct Answer: D — 7

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Q. In the data set 5, 5, 6, 7, 8, what is the mode?

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

Solution

The mode is the number that appears most frequently. Here, 5 appears twice, so the mode is 5.

Correct Answer: A — 5

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Q. In the data set: 1, 2, 2, 3, 4, 4, 4, 5, what is the mode?

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

Solution

The mode is 4, as it appears most frequently (three times).

Correct Answer: C — 4

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Q. In the data set: 2, 3, 5, 7, 7, 8, what is the mode?

A. 2
B. 3
C. 7
D. 8

Solution

The mode is the number that appears most frequently. Here, 7 appears twice.

Correct Answer: C — 7

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Q. In the data set: 7, 8, 9, 10, 10, 10, 11, what is the mode?

A. 7
B. 8
C. 10
D. 11

Solution

The mode is 10, as it appears most frequently (three times).

Correct Answer: C — 10

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

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

Solution

Mean = (1 + 1 + 2 + 3 + 5) / 5 = 12 / 5 = 2.4.

Correct Answer: B — 2

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Q. What is the mean of the following numbers: 12, 15, 20, 25?

A. 15
B. 20
C. 22
D. 25

Solution

Mean = (12 + 15 + 20 + 25) / 4 = 72 / 4 = 18.

Correct Answer: C — 22

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Q. What is the mean of the following numbers: 15, 25, 35, 45?

A. 25
B. 30
C. 35
D. 40

Solution

Mean = (15 + 25 + 35 + 45) / 4 = 30.

Correct Answer: B — 30

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Q. What is the mean of the following numbers: 5, 10, 15, 20?

A. 10
B. 12.5
C. 15
D. 17.5

Solution

Mean = (5 + 10 + 15 + 20) / 4 = 50 / 4 = 12.5.

Correct Answer: B — 12.5

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Q. What is the mean of the numbers 1, 2, 3, 4, 5?

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

Solution

Mean = (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3

Correct Answer: B — 3

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

A. 2
B. 2.5
C. 3
D. 4

Solution

Sorted data: 1, 2, 3, 4; Median = (2 + 3) / 2 = 2.5.

Correct Answer: B — 2.5

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

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

Solution

Sorted data: 1, 3, 5, 7, 9. Median = 5.

Correct Answer: A — 5

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Q. What is the mode of the data set: 2, 3, 4, 4, 5, 5, 5, 6?

A. 2
B. 4
C. 5
D. 6

Solution

The mode is the value that appears most frequently, which is 5.

Correct Answer: C — 5

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Q. What is the mode of the data set: 5, 5, 6, 7, 8, 8, 8?

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

Solution

The mode is 8, as it appears most frequently.

Correct Answer: D — 8

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

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

Solution

The mode is 4, as it appears most frequently (three times).

Correct Answer: C — 4

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Q. What is the range of the data set: 10, 15, 20, 25, 30?

A. 15
B. 20
C. 25
D. 30

Solution

Range = max - min = 30 - 10 = 20

Correct Answer: A — 15

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Q. What is the range of the data set: 15, 22, 8, 19, 30?

A. 22
B. 15
C. 30
D. 7

Solution

Range = max - min = 30 - 8 = 22.

Correct Answer: A — 22

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Q. What is the range of the data set: 7, 3, 9, 5, 12?

A. 5
B. 6
C. 7
D. 9

Solution

Range = max - min = 12 - 3 = 9.

Correct Answer: B — 6

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Q. What is the range of the following data set: 15, 22, 8, 19, 30?

A. 22
B. 15
C. 30
D. 7

Solution

Range = max - min = 30 - 8 = 22.

Correct Answer: A — 22

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Q. Which measure of central tendency is most affected by extreme values?

A. Mean
B. Median
C. Mode
D. Range

Solution

The mean is most affected by extreme values, as it takes all values into account.

Correct Answer: A — Mean

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Q. Which of the following distributions is used to model the number of successes in a fixed number of trials?

A. Normal
B. Binomial
C. Poisson
D. Exponential

Solution

The binomial distribution models the number of successes in a fixed number of trials.

Correct Answer: B — Binomial

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Q. Which of the following is NOT a measure of dispersion?

A. Range
B. Variance
C. Mean
D. Standard Deviation

Solution

Mean is a measure of central tendency, not dispersion.

Correct Answer: C — Mean

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Q. Which of the following is the mode of the data set: 2, 3, 4, 4, 5, 5, 5?

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

Solution

Mode is the number that appears most frequently. Here, 5 appears 3 times.

Correct Answer: D — 5

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Statistics & Probability

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