Find the mean deviation about the mean for the data

 Height in cms Number of boys 95-105 9 105-115 13 115-125 26 125-135 30 135-145 12 145-155 10

Asked by Pragya Singh | 1 year ago |  109

##### Solution :-

Let us make the table of the given data and append other columns after calculations.

Here, $$N=\displaystyle\sum_{i=1}^{6} f_i = 100$$

$$\displaystyle\sum_{i=1}^{8} f_ix_i = 12530$$

$$\overline{X} = \dfrac{1}{N} \displaystyle\sum_{i=1}^{6} f_ix_i$$

$$= \dfrac{1}{100} \times 12530= 125.3$$

$$MD.\overline{(x)}$$ = $$\dfrac{1}{N} \displaystyle\sum_{i=1}^{6} f_i|x_i-\overline {x}|$$

$$= \dfrac{1}{100}\times 1128.8= 11.28$$

Answered by Abhisek | 1 year ago

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