Question

Find the arithmetic mean,median and mode of the following data
class interval frequency
0-9 8
10-19 10
20-29 15
30-39 20
40-49 15
50-59 10
60-69 8​

Answer 1

Explanation:

Median will lie between 39.5 - 49.5    as 50 comes between 40-70

Median = 39.5  + 10 * ( 50 - 40)/30

= 39.5 + 3.33

= 42.83

Mode will lie in 39.5 - 49.5   as maximum frequency = 30

Mode = 39.5  + 10 * (30 - 18)/(30 -18 + 30 - 16)

= 39.5 + 4.6

= 44.1

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Answer 2

Mean- (5*8)+(15*10)+(25*15)+(35*20)+(45*15)+(55*10)+(65*8)

3010/(8+10+15+20+15+10+8)

3010/86

35