Question
How is arithmetic mean of a grouped frequency distribution calculated? Explain with the help of direct and indirect method.

Answer

$\overline{\text{X}}=\frac{\Sigma\text{fd}}{\Sigma\text{f}}\ [\text{Direct method}]$$\begin{matrix}\overline{\text{X}}=\text{A}+\frac{\Sigma\text{fd}}{\Sigma\text{f}}\ \ (\text{Assumed Mean Method})\\\overline{\text{X}}=\text{A}+\frac{\Sigma\text{fd}'}{\Sigma\text{f}}\times\text{i}\ \ (\text{Step Deviation Method})\end{matrix}\Bigg]\text{Indirect Method}$

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