Find the mean deviation about the mean for the data.

 Income per day Number of persons 0-100 4 100-200 8 200-300 9 300-400 10 400-500 7 500-600 5 600-700 4 700-800 3

Asked by Pragya Singh | 1 year ago |  84

##### Solution :-

Here, $$N=\displaystyle\sum_{i=1}^{8} f_i = 50$$,

$$\displaystyle\sum_{i=1}^{8} f_ix_i = 17900$$,

$$\overline{X} = \dfrac{1}{N} \displaystyle\sum_{i=1}^{8} f_ix_i$$

$$= \dfrac{1}{50} \times 17900= 358$$

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

$$= \dfrac{1}{50}\times 7896 = 157.92$$

Answered by Abhisek | 1 year ago

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