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?

Answer 1

Answer:

26 years

Explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

=

The mean age of 7 men = 25 years old

=

Total sum of ages of men and women in the office = 243 + 175

= 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

=

Explanation:

Answer 2

26 years

Explanation:

Given:

The mean age of 9 women = 27 years old

The mean age of 7 men = 25 years old

Question asked:

What is the mean age (nearest year) of all the people in the office?

solution:

By using, mean = sum of observations divided by number of entities

The mean age of 9 women = 27 years old

`(sum of ages)/(number of women)` =
`27`

`Sum of ages of women = 27 *9 = 243\\`
`years`

The mean age of 7 men = 25 years old

`(sum of ages)/(number of men)` =
`25`

`sum of ages of men = 25 *7 = 175`

Total sum of ages of men and women in the office = 243 + 175

= 418 years

Total number of people in the office = 9 women + 7 men = 16

The mean age of all the people in the office = Total sum of ages of men and women in the office divided by Total number of people in the office

=
`(418)/(16) = 26.125`

Therefore, the mean age (nearest year) of all the people in the office = 26 years