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Question

Calculate arithmetic mean:
Marks (More than) 0 10 20 30 40 50
No. of Students 100 88 70 43 23 6

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Solution

Marks Mid Value
(m)
f fm
0 − 10
10 − 20
20 − 30
30 − 40
40 − 50
50 − 60
5
15
25
35
45
55
100 − 88 = 12
88 − 70 = 18
70 − 43 = 27
43 − 23 = 20
23 − 6 = 17
6
60
270
675
700
765
330
Σf = 100 Σfm = 2800

For the calculation of mean, first the given more than series is converted in continuous series as above.

X=ΣfmΣf=2800100=28
Thus, the mean marks is 28.

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