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Calculate the Median From the Following Data

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Answer: The very first step is the preparation of cumulative frequency:

Marks	Students	Cumulative frequency
0 – 10	5	5
10 – 30	15	5 + 15 = 20
30 – 60	30	20 + 30 = 50
60 – 80	8	50 + 8 = 58
80 – 90	2	58 + 2 = 60

N = 60

∴ n = 60/2 = 30

C.f greater than 30 is 50

Median class = 30 – 60

l = 30
c.f = 30
F= 20
h = 30

Median =l+[n2-cf]×h =30+30-2030×30 =30+1030×30 =30+10 Median =40