The following table gives the age in years of employees of a firm the model age is 32 years find the missing frequency age in years 20-25 25-30 30-35 35-40 40-45 no of employees 5 - 18 9 6
Answers
Given : age in years of employees of a firm
the model age is 32 years
Age in years 20-25 25-30 30-35 35-40 40-45
no of employees 5 - 18 9 6
To Find : Missing Frequency
Solution:
age in years no of employees
20-25 5
25-30 X
30-35 18
35-40 9
40-45 6
Mode of age = 32
hence lies in class 30 - 35
Mode = 30 + 5 × ( 18 - X)/(18 - X + 18 - 9)
=> 32 = 30 + 5 × (18 - X)/(27 - X)
=> 2 = 5 × (18 - X)/(27 - X)
=> 54 - 2X = 90 - 5X
=> 3X = 36
=> X = 12
Missing frequency is 12
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