Question

The mean wages paid to 100 employees of an organization is Rs 600. Out of which mean wages paid to 60 male employees is Rs 620. Find out the mean wages paid to female employees​

Answer 1

Given :

• Total number of employees = 100
• Mean wages of all employees = ₹600
• Number of male employees = 60
• Mean wages of male employees = ₹620

To find :

Means wages of female employees

Formula used :

Mean = Sum of all observation ÷ Number of observation

Let :

• Sum of wages of total employees = x
• Sum of wages of male employees = y
• Sum of wages of female employees = z

Solution :

✪ Mean wage of all employees = Sum of wages of all employees ÷ Total number of employees

➜ ₹600 = x ÷ 100

➜ x = ₹600 × 100

➜ x = ₹60000

✪ Mean wages of male employees = Sum of wages of male employees ÷ Number of male employees

➜ ₹620 = y ÷ 60

➜ y = ₹620 × 60

➜ y = ₹37200

✪ We know that , Total number of employees = Number of male employees + Number of female employees

➜ 100 = 60 + (Number of female employees )

➜ Number of female employees = 100 - 60

➜ Number of female employees = 40

✪ Also , total wages = wages of male employees + wages of female employees

➜ x = y + z

➜ ₹60000 = ₹37200 + z

➜ z = ₹60000 - ₹37200

➜ z = ₹22800

✪ Mean wages of female employees = Sum of wages of female employees ÷ Number of female employees

➜ Mean wages of female employees = ₹22800 ÷ 40

➜ Mean wages of female employees = ₹570

ANSWER :

Mean wages of female employees = ₹570

Answer 2

Mean wages of female employees=₹570