The scores of a batsman in ten innings are : 38,70,48,34,42,55,63,46,54,44. Find the mean deviation about the median.

Explanation

Arranging:`34,38,42,44,48,55,63,70`


Median`=(46+48)/2​=47`


Mean deviation=`(∣34−47∣+∣38−47∣+∣42−47∣+∣44−47∣+∣46−47∣+∣48−47∣+∣54−47∣+∣55−47∣∣63−47∣+∣70−47∣)/(10)`


`=13+9+5+3+1+1+7+8+16+23`

`=(86)/(10)​=8.6​`