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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?

Respuesta :

Answer: [tex]52 years[/tex]

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 = [tex]\frac{80+x}{6}[/tex]

[tex]80+ x[/tex] = 22 x 6

[tex]80 + x = 132[/tex]

[tex]x = 132 - 80[/tex]

[tex]x = 52[/tex]