Question

The following are the ages (years) of 5 people in a room: 23, 13, 17, 12, 15 A person enters the room. The mean age of the 6 people is now 22. What is the age of the person who entered the room?

Answer 1

Answer:
`52 years`

Explanation:

The formula for calculating mean = sum of each data / total number

Let the age of the sixth person be x , then

mean = 23 + 13 + 17 + 12 + 15 + x / 6

That is :

22 = 23 + 13 + 17 + 12 + 15 + x / 6

22 =
`(80+x)/(6)`

`80+ x` = 22 x 6

`80 + x = 132`

`x = 132 - 80`

`x = 52`