Question

39. Calculate the value of mode for the following distribution:
Class
Frequency
10 - 19 20 - 29 30 – 39 40 - 49 50 - 59 60 - 69
10 5 15 12 16 10​

Answer 1

Median =  42.83 Mode =44.1

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