Question

Find the mean deviation about mean for the following data

38, 70, 48, 40, 42, 55, 63, 46, 54, 44

Answer 1

Mean ($\overline{x})=(\frac{38+70+48+42+55+63+46+54+44}{10})=50$

$\begin{array}{cc}{x}_i& |x_i-x|\\ 38& 12\\ 70& 20\\ 48& 2\\ 40& 10\\ 42& 8\\ 55& 5\\ 63& 13\\ 46& 4\\ 54& 4\\ 44& 6\\ Total& 84\end{array}$

Mean deviation about mean$=\frac{1}{n}{\sum }_{i=1}^n|x_i-\overline{x}|=1/10\times 84=8.4$