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: $52 years$

Step-by-step 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 = $\frac{80+x}{6}$

$80+ x$ = 22 x 6

$80 + x = 132$

$x = 132 - 80$

$x = 52$