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Question

Find the mean deviation about median for the following data:
MarksNumber of girls
0-106
10-208
20-3014
30-4016
40-504
50-602

Solution
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Marks fi Cumulative frequencyxi |xiM| fi|xiM|
0-10 6 6 5 22.86 137.16
10-20 8 14 15 12.86 102.88
20-30 14 28 252.86 40.04
30-40 16 4435 7.14 114.24
40-50 4 48 45 17.14 68.56
50-60 2 50 5527.14 54.28
Total 50 517.32
Here, N=50
N2=502=25
Since, 25 occurs in the cumulative frequency 25.
So, median class is 2030.
Median M=l+N2Cf1fm×h
=20+251414×10
M=20+11014=27.86
Mean deviation about median =fi|xiM|fi
=517.3250
=10.35

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