For a positive dataset, if the harmonic mean is equal to the arithmetic mean, what can be concluded? MCQ with Answer and Explanation

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For a positive dataset, if the harmonic mean is equal to the arithmetic mean, what can be concluded?

A. All values are equal

B. The median equals the mode

C. The data are symmetric

D. There is one outlier

Answer: Option A

Solution (By JKSSB Mock Tests)

For positive numbers, AM = GM = HM only when all values are identical.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

The main purpose of classification of data is to:

A. Group homogeneous data to highlight similarities and patterns

B. Draw graphs

C. Calculate measures of central tendency

D. Present data in rows and columns

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Correct Answer: Option A

Explanation:
Classification brings order to data by grouping similar items.

This question belongs to: Accountancy and Statistics Statistics

Question #2

According to Sturges' rule, the approximate number of classes for n = 50 is: (Use k = 1 + 3.322 log₁₀ n)

A. 8

B. 7

C. 6

D. 5

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Correct Answer: Option B

Explanation:
log₁₀50 ≈ 1.699; 3.322 × 1.699 ≈ 5.64; 1 + 5.64 = 6.64, which rounds to 7 classes.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Which is a difference between primary and secondary data?

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

B. Primary data requires less time

C. Primary data is cheaper than secondary data

D. Secondary data is more reliable always

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Correct Answer: Option A

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

This question belongs to: Accountancy and Statistics Statistics

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