The formula to calculate mean (Long Method) from classified data is :

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Bihar CET B.Ed Official Paper (Held On: 25 Jun, 2024)
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  1. \(\rm M=\frac{\sum f N}{N} \)
  2. \(\rm M=\frac{\sum x}{N} \)
  3. \(\rm M=\frac{\sum f x}{\sum x} \)
  4. \(\rm M=\frac{\sum f x}{N}\)

Answer (Detailed Solution Below)

Option 4 : \(\rm M=\frac{\sum f x}{N}\)
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Detailed Solution

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Given:

Formula for mean (Long Method) from classified data.

Formula Used:

Mean, \(\rm M=\frac{\sum f x}{N}\)

Where,

f = frequency of each class

x = class mark (midpoint of each class)

N = total number of observations.

\(\Sigma fx\) = sum of the product of frequency and class mark

Calculation:

The formula directly represents the calculation of the mean.

Multiply each class mark (x) by its corresponding frequency (f).

Sum all these products \(\Sigma fx\)

Divide the sum by the total number of observations (N)

Hence, the correct answer is "Option 4"

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