The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?

Respuesta :

Answer:

23

Step-by-step explanation:

Women total age = 5 x 23 = 115

Men total age = 3 x 24 = 72

The mean age of all the people

= (115+72)÷(8)

= 23.375

= 23 (nearest year)

The mean age (nearest year) of all the people in the office is 23

How to determine the mean age?

The given parameters are:

5 women = 23 years

3 men = 24 years

Mean is calculated using:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]

Evaluate the quotient

[tex]\bar x = 23[/tex]

Hence, the mean age (nearest year) of all the people in the office is 23

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