Question

The mean of four positive integers is 5.

The median of the four integers is 6.
What is the mean of the largest and smallest of the integers?

Answer 1

(x1 + x4)/2 = 4

Explanation:

(x1 + x2+ x3 + x4)/4 = 5 mean

x1 , x2 , x3 , x4

median (x2+x3)/2 = 6

(x2+x3) = 12

The smallest integer is x1, the largest integer x2.

The mean of the largest and smallest of the integers is (x1 + x2)/2.

(x1 + x2+ x3 + x4)/4 = 5

x1 + x2+ x3 + x4 = 20

x1 + 12 + x4 = 20

x1 + x4 = 20 - 12

x1 + x4 = 8

(x1 + x4)/2 = 8/2

(x1 + x4)/2 = 4