Find the mean deviation about the mean for the data.

\( x_i\) 5 10 15 20 25
\( f_i\) 7 4 6 3 5

 

Asked by Abhisek | 11 months ago |  67

1 Answer

Solution :-

\( N=\displaystyle\sum_{i=1}^{5} f_i = 25 \)

\( \displaystyle\sum_{i=1}^{5} f_ix_i = 350\)

\( \overline{X} = \dfrac{1}{N} \displaystyle\sum_{i=1}^{5} f_ix_i \)

\( = \dfrac{1}{25} \times 350= 14\)

\( MD\overline{(x)} = \dfrac{1}{N} \displaystyle\sum_{i=1}^{5} f_i|x_i-\overline{x}|\)

\( = \dfrac{1}{25} \times 158= 6.32\)

Answered by Abhisek | 11 months ago

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