In a normal distribution, approximately what percentage of data falls within Mean ± 1 Standard Deviation? MCQ with Answer and Explanation

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In a normal distribution, approximately what percentage of data falls within Mean ± 1 Standard Deviation?

A. 50%

B. 99.73%

C. 95.45%

D. 68.27%

Answer: Option D

Solution (By JKSSB Mock Tests)

According to the empirical rule for normal distributions, roughly 68.27% of observations lie within one standard deviation of the mean.

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Question #1

Bayes' theorem is particularly useful in:

A. Calculating simple probabilities

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

C. Constructing frequency distributions

D. Determining sample size

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Correct Answer: Option B

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 #2

If P(A)=0.4, P(B)=0.5, and A and B are independent, then P(A∪B) is:

A. 0.7

B. 0.2

C. 0.5

D. 0.9

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Correct Answer: Option A

Explanation:
0.4+0.5 - (0.4×0.5)=0.9-0.2=0.7.

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Question #3

Which is a difference between primary and secondary data?

A. Secondary data is more reliable always

B. Primary data is collected for the specific purpose at hand

C. Primary data is cheaper than secondary data

D. Primary data requires less time

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Correct Answer: Option B

Explanation:
Primary data is gathered specifically for the study, while secondary data was collected for some other purpose.

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