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Question

Calculate the median for the following frequency distribution:
Class 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 3 6 8 15 10 8

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Solution

Class

Frequency (f)

Cumulative

frequency

0-10

3

3

10-20

6

9

20-30

8

17

30-40

15

32

40-50

10

42

50-60

8

50

N = ∑f = 50



















N=50=>N2=25The cumulative frequency just greater than 25 is 32 and the corresponding class is 30-40.Thus, the median class is 30-40.l=30, h=10, f=15, cf=c.f. of preceding class = 17 and N2=25Median, M=l+h×N2cff=30+10×(2517)15=30+163=35.33Hence, median=35.33


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