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Calculate the Median From the Following Data

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