Question

Three numbers have a mean of 12 and a mode of 9. What are the three numbers?

Answer 1

The three numbers are : 9, 9 and 18

Explanation:

Since the mean is 12 the sum of the three numbers must be 36. This is because:

(let the three numbers be x y and z)

(x+y+z)/3=12

(x+y+z)=12*3

(x+y+z)=36

And since the mode is 9 two of the numbers must be 9.

So to find the third number;

9+9+z=36

z=36-18

z=18