In constructing a frequency distribution, the number of classes k is most appropriately determined by Sturges' rule as:

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SSC Statistics QUESTION #1991

Question 1

In constructing a frequency distribution, the number of classes \(k\) is most appropriately determined by Sturges' rule as:

\(k = 1 + 3.322 \log_{10} n\)✔️
\(k = \sqrt{n}\)
\(k = 2n^{1/3}\)
\(k = \log_2 n\)

Correct Answer Explanation

Sturges' rule states that the optimal number of classes is \(k = 1 + 3.322 \log_{10} n\), where \(n\) is the total number of observations. This formula provides a balance between too few classes (losing detail) and too many (obscuring the pattern).

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