Question

A shop employs eight men and two women. The mean weekly wage of the ten employees is £396.

The mean weakly wage of the 8 men is £400.
Calculate the mean weekly wage of the 2 women.

Answer 1

The mean weekly wage for the two women is £380.

Explanation:

We can use the weighted mean formula to solve this problem.

Firstly, we calculate the total weekly wage for the ten employees by multiplying the mean weekly wage by the total number of employees:

Total weekly wage = Mean weekly wage x Number of employees

Total weekly wage = £396 x 10

Total weekly wage = £3,960

We can then subtract the total weekly wage for the eight men to find the total weekly wage for the two women:

Total weekly wage for 2 women = Total weekly wage - Total weekly wage for 8 men

Total weekly wage for 2 women = £3,960 - (£400 x 8)

Total weekly wage for 2 women = £3,960 - £3,200

Total weekly wage for 2 women = £760

Now, we can calculate the mean weekly wage for the two women by dividing their total weekly wage by the number of women:

Mean weekly wage for 2 women = Total weekly wage for 2 women / Number of women

Mean weekly wage for 2 women = £760 / 2

Mean weekly wage for 2 women = £380

Therefore, the mean weekly wage for the two women is £380.