Question

The average (arithmetic mean) of x and y is m, where m does not equal to 0. What is the average (arithmetic mean) of x, y, and z?

a.)m
b.)4/3m
c.)3/2m
d.)5/3m
e.)2m

Answer 1

m=(x+y)/2

(x+y+z)/3= (x+y)/3 +z/3 Multiply both sides with 1/2

(x+2)/(2*3) +z/(2*3)=[(x+y)/2]*(1/3)+z/6=

m/3 + z/6