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. 95.45%

C. 68.27%

D. 99.73%

Answer: Option C

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.

This question belongs to: Accountancy and Statistics Statistics

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Question #1

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Infant Mortality Rate (IMR) measures the number of deaths of infants under the age of:

A. 1 year per 1,000 live births

B. 1 month per 1,000 live births

C. 1 year per 1,000 total population

D. 5 years per 1,000 live births

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Correct Answer: Option A

Explanation:
IMR is defined as the number of deaths of children less than 1 year old per 1,000 live births in a given year.

This question belongs to: Accountancy and Statistics Statistics

Question #2

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Crude birth rate is crude because:

A. It is always wrong

B. It is based on sample

C. It does not account for age-sex composition of the population

D. It uses only male births

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Correct Answer: Option C

Explanation:
The denominator is total population, not the population at risk (women 15-49).

This question belongs to: Accountancy and Statistics Statistics

Question #3

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Which property of the arithmetic mean states that the sum of deviations from the mean is always zero?

A. Invariance under change of origin

B. Linearity

C. Minimum sum of squared deviations

D. Sum of deviations property

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Correct Answer: Option D

Explanation:
The sum of deviations of all observations from their arithmetic mean is always zero, i.e., Σ(x - x̄) = 0, which is a fundamental algebraic property of the mean.

This question belongs to: Accountancy and Statistics Statistics

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