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Question

The formula to determine the number of classes given by Sturge’s Rule is which one of the following ?
1) K = 1+ 3.322 (log N) 

2) K= (log N) 1.322

3)K = $\frac{1+3.322} {(log N)} $

4) K = $\frac{3.322}{(log N) + 1} $ 

Where :
K = Number of classes
N = Total number of observations
$\log N$ = Logarithm of the total number of observations

The correct answer is
$K = 1 + 3.322(\log N)$

Sturge's Rule Formula for Number of Classes

Sturge's Rule provides a guideline for determining the optimal number of classes ($K$) for a frequency distribution based on the total number of observations ($N$).

The correct formula, as given in the options and widely accepted, is:

$ K = 1 + 3.322 \log_{10} N $

Where:

  • $K$ represents the number of classes.
  • $N$ is the total number of observations.
  • $\log_{10} N$ is the logarithm base 10 of the total number of observations.

This formula helps ensure that the data is grouped effectively without being too broad or too fragmented.

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Important Questions from Classification of Data

  1. A graph of frequency distribution constructed by plotting the frequency density against the mid-points of the class is :
  2. Consider the following statements:

    Statement 1: Range is not a good measure of dispersion.

    Statement 2: Range is highly affected by the existence of extreme values.

    Which one of the following is correct in respect of the above statements?

  3. Data can be represented in which of the following forms?

    1. Textual form

    2. Tabula form

    3. Graphical form

    Select the correct answer using the code given below.
  4. A graph of a cumulative frequency distribution is called :

  5. For showing the growth of population for the last 8 years, the best diagram is

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