what step deviation is?

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Solution

When the values of mid-values xi in different classes of a grouped data are large in magnitude, then the computation of the mean x becomes quite lengthy and tedious. In such case, computation is simplified using step deviation method.

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Calculate standard deviation by step-deviation method:

$\begin{matrix} Class Interval & 10 - 20 & 20 - 30 & 30 - 50 & 50 - 70 & 70 - 80 Frequency & 5 & 8 & 16 & 8 & 3 \end{matrix}$

Find mean by step deviation method.

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