Question

Calculate the median for the following :
Value : 0-9 10-19 20-29 30-39
Frequency : 328 720 664 598
Value : 40-49 50-59 60-69
Frequency : 524 378 244

Answer 1

Step-by-step explanation:

Class                frequency        cf

9.5 - 19.5               10                10

19.5 - 29.5             12                22

29.5 - 39.5            18                40

39.5 - 49.5            30                70

49.5 - 59.5            16                86

59.5 - 69.5            6                 92

69.5 - 79.5            8                 100

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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