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

Step-by-step 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

$\frac{sum of ages}{number of women}$ = $27$

$Sum of ages of women = 27 \times9 = 243$ $years$

The mean age of 7 men = 25 years old

$\frac{sum of ages}{number of men}$ = $25$

$sum of ages of men = 25 \times7 = 175$

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

                                                                         = $\frac{418}{16} = 26.125$

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