Question

The mean age of 9 women in an office is 27 years old.

The mean age of 7 men in an office is 25 years old.
What is the mean age (nearest year) of all the people in the office?

IF JIMGRANT ANSWERS THIS I WILL BE THANKFUL
PLEASE ANYONE ANSWER CORRECTLY

Answer 1

That would have to be that age of

26

Answer 2

26 to nearest year

We require the total of the sums of ages for both groups before calculating the mean for all 16

using mean =
`(sum)/(count)`

Women

27 =
`(sum )/(9)` ( cross- multiply )

sum = 9 × 27 = 243

Men

25 =
`(sum)/(7)` ( cross- multiply )

sum = 7 × 25 = 175

Total sum of all 16 = 243 + 175 = 418

mean =
`(418)/(16)` = 26 ( to nearest year )