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Question

Calculate the mean deviation about the median of the following frequency distribution:

xi57911131517
fi246810128

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Solution

We will first calculate the median for the data.

xifiCumulative Frequency (CF)di=xiA
=xi13
fidi
522816
746624
9612424
11820216
13103000
151242224
17850432
N=fi=50 fidi=136


Here,

N2=502=25

The cumulative frequency just greater than 25 is 30 and the corresponding value of x is 13.

Median, M=13

Mean deviation about median, MD=fidiN

=13650=2.72


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