Arithmetic mean of a given data from a frequency table is given by

\frac{\sum (f_{i} / x_{i})}{\sum f_{i}}

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\frac{\sum (f_{i} x_{i}^{2})}{\sum f_{i}}

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\frac{\sum (f_{i} x_{i})}{\sum f_{i}}

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\frac{\sum (f_{i} x_{i})}{\sum f_{i}^{2}}

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Solution

The correct option is C $\frac{\sum (f_{i} x_{i})}{\sum f_{i}}$
Arithmetic mean = $\frac{\sum (f_{i} x_{i})}{\sum f_{i}}$
where, $x_{i}$ denotes the values in the given frequency table and $f_{i}$ denotes the frequency of their corresponding values $x_{i}$ .

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