Question

The average monthly income of 12 men was
16250 and the average monthly income
of 8 women was 18375. Find the average
monthly income of the entire group.​

Answer 1

Step-by-step explanation:

Given:-

The average monthly income of 12 men was

16250 and the average monthly income of 8 women was 18375.

To find:-

Find the average monthly income of the entire group.?

Solution:-

Given that

The average monthly income of 12 men was

16250

Number of men = 12

We know that

Average = Sum of all observations/ Number of all observations

16250 = Sum of all monthly income/ 12

=> Sum of 12 men monthly income = 16250×12

Sum of 12 men monthly income = Rs. 195000

and

the average monthly income of 8 women was 18375.

Number of women = 8

Average = Sum of all observations/ Number of all observations

=> 18375 = Sum of 8 women monthly income /8

=> Sum of 8 women monthly income

=> 18375×8

=> Rs. 147000

Sum of the monthly income of all men and women

=> 195000+147000

=> Rs. 342000

Sum of the monthly income of all people

= Rs. 342000

Total number of people = 12+8 = 20

Average = Sum of all observations/ Number of all observations

Average of monthly income of 20 people

=> 342000/20

=> Rs. 17100

Answer:-

The average monthly income of the entire group is Rs. 17100

Used formula:-

Average = Sum of all observations/ Number of all observations