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Calculate the Mean of the Following Distribution : 0-10 10-20 20-30 30-40 40-50 50-60 - Mathematics

Calculate the mean of the following distribution :

Class Interval 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 8 5 12 35 24 16
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Solution

Consider the following distribution:

Class Interval Frequency (f) Classmark (x) fx
0 – 10 8 5 40
10 – 20 5 15 75
20 – 30 12 25 300
30 – 40 35 35 1225
40 – 50 24 45 1080
50 – 60 16 55 880
Total `n = sum f = 100`   `sum fx = 3600`

Mean = `(sum fx)/n = 3600/100 = 36`

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