Sturges' rule for the number of classes k is: MCQ with Answer and Explanation

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Sturges' rule for the number of classes k is:

A. k = 1 + 3.322 log₁₀ N

B. k = log₁₀ N

C. k = 1 + 2.322 log₁₀ N

D. k = 3.322 log₁₀ N

Answer: Option A

Solution (By JKSSB Mock Tests)

The formula k = 1 + 3.322 log₁₀ N gives an approximate optimal number of classes.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

What happens to the Variance of a dataset if each observation is multiplied by a constant 'k'?

A. It increases by k

B. It is multiplied by k

C. It remains unchanged

D. It is multiplied by k^2

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Correct Answer: Option D

Explanation:
Variance involves squaring the deviations. Multiplying data by k scales the variance by the square of that constant (k^2).

This question belongs to: Accountancy and Statistics Statistics

Question #2

For a moderately asymmetrical distribution, the empirical relationship between Mean, Median, and Mode is:

A. Mode = 2 Median - 3 Mean

B. Mode = 3 Median - 2 Mean

C. Median = 3 Mean - 2 Mode

D. Mean = 3 Median - 2 Mode

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Correct Answer: Option B

Explanation:
Karl Pearson's empirical relationship holds for moderately skewed distributions: Mode = 3(Median) - 2(Mean).

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Question #3

A census method where people are counted based on their legal or permanent residence regardless of where they are on census night is:

A. De jure method

B. Canvasser method

C. Householder method

D. De facto method

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Correct Answer: Option A

Explanation:
De jure census attributes individuals to their usual or legal place of residence.

This question belongs to: Accountancy and Statistics Statistics

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