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The formula to determine the number of classes given by Sturge’s Rule is which one of the following?
Question

The formula to determine the number of classes given by Sturge’s Rule is which one of the following?

A.

K=1+3.322log10NK = 1 + 3.322 \log_{10} N​​

B.

K=(log10N)×1.322K = (\log_{10} N) \times 1.322​​

C.

K=1+3.322log10NK = \frac{1 + 3.322}{\log_{10} N}​​

D.

K=3.322log10N+1K = \frac{3.322}{\log_{10} N} + 1​​

Correct option is A

The correct answer is (a) K=1+3.322log10NK = 1 + 3.322 \log_{10} N​.
Sturge’s Rule is a statistical method used to determine the optimal number of classes (K) for creating a frequency distribution from a dataset of N observations. It aims to balance the loss of information with the need for data summarization. The constant 3.322 is derived from 1/log1021 / \log_{10} 2​, linking the rule to the binary power of the sample size.
Information booster
· Purpose: Prevents having too many small classes or too few large classes in a histogram.
· Variable N: Represents the total number of observations or sample size.
· Logarithmic Base: Specifically uses base 10 logarithms (log10)(log_{10}) ​for the calculation.
· Rounding: The resulting value of K is typically rounded to the nearest whole number.

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