Question

the ages of employees in factor A are given below: age of employees 20-30 30-40 40-50 50-60 60-70 number of employees in factory A 5, 26, 78, 104, 98 find the modal age of employees in factor A.​

Answer 1

Given : ages of employees in factory A:

age of employees                      20-30 30-40 40-50 50-60 60-70  

number of employees in factory A 5, 26, 78, 104, 98

To Find : modal age of employees in factory A.​

Solution:

age of employees  Frequency

20-30                       5

30-40                      26

40-50                      78

50-60                    104

60-70                     98

Max frequency 104 is in interval 50 - 60

Modal age =  50  + 10 x ( 104 - 78)/(104 -78 + 104 - 98)

= 50 + 10 x 26 ( 32)

= 50 + 8.125

= 58.125

Modal age of  employees in factory A. =  58.125

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