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Question

Given are the observations of runs scored by batsmen between India - Sri Lanka combined. Find the mean deviation about mean for the scores of batsmen

Score0−1010−2020−3030−4040−5050−60number ofBatsmen12182720176


A

15

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B

99

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C

10

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D

50

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Solution

The correct option is C

10


We write the midpoints of each given class and proceed as for a discrete frequency to find mean deviation.

ScoreNo.ofBatsmenMidpointsfixi|xi¯x|fi|xi¯x|10202153030602030325752060304083525010804050144563000506085544010806070365195206070802751503060401800400

N=7i=1fi=40,7i=1fi xi=1800,¯x=1N7i=1fi xi=180040=45i=17fi|xi¯x|=400

MD(¯x)=1N7i=1fi|xi¯x|=140(400)=10


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