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Q.

For grouped data, formula for arithmetic mean by direct method is

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a

\frac{\sum_{}^{} fx}{\sum_{}^{} x}

b

\frac{\sum_{}^{} f}{\sum_{}^{} x}

c

\frac{\sum_{}^{} f}{N}

d

None of the above

answer is A.

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Detailed Solution

We have to find the formula for arithmetic mean by direct method of grouped data.
The "arithmetic mean" is the average value within a given set of data. There are several methods for calculating the arithmetic mean for grouped data, including the direct method, which involves multiplying all the data by their respective frequencies, adding the results, and dividing the result by the sum of the frequencies (or the number of figures in the data) to determine the mean.
The formula is

\frac{\sum_{}^{} fx}{\sum_{}^{} x}

, where

\sum_{}^{} fx

is the summation of frequency multiplied by x for all figures and

\sum_{}^{} f

is the frequency or the number of elements in the given data.
Hence, the correct option is 1.

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