If the mean of a set of 10 observations is 20, and 5 is added to each observation, what will be the new mean? MCQ with Answer and Explanation

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If the mean of a set of 10 observations is 20, and 5 is added to each observation, what will be the new mean?

A. 15

B. 25

C. 20

D. 100

Answer: Option B

Solution (By JKSSB Mock Tests)

The arithmetic mean is affected by the change of origin. If a constant is added to all observations, the mean increases by that constant.

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Question #1

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

A. Geometric mean

B. Median

C. Mode

D. Arithmetic mean

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Correct Answer: Option D

Explanation:
The arithmetic mean uses all values and is pulled towards outliers.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Bayes' theorem is particularly useful in:

A. Determining sample size

B. Calculating simple probabilities

C. Constructing frequency distributions

D. Updating beliefs with new evidence in diagnostic testing or machine learning

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Correct Answer: Option D

Explanation:
Bayes' theorem provides a formal framework for revising prior probabilities based on observed data, crucial in medical testing (e.g., disease probability given positive test) and Bayesian statistics.

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Question #3

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If P(A) = 0.3, P(B) = 0.4, and A, B are mutually exclusive, then P(A∪B) is:

A. 0.12

B. 0.7

C. 0.5

D. 0.1

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Correct Answer: Option B

Explanation:
Mutually exclusive → P(A∪B) = P(A) + P(B) = 0.3+0.4=0.7.

This question belongs to: Accountancy and Statistics Statistics

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