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

Answer:

(x1 + x4)/2 = 4

Step-by-step 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