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]