Question

Three integers have a mean of 5, a median of 1 and a range of 12.

Find the three integers.

Answer 1

1, 1, 13

Explanation:

call the three integers A, B and C. A smallest, C largest.

mean = 5 = (A + B + C)/3

A + B + C = 15

If B is middle, and median = 1, then B = 1.

A + B + C = 15, A + C = 15 - 1 = 14.

Range = C - A = 12, C = 12 + A.

A + C = 14, A + (12 + A) = 14, 2A + 12 = 14, A = 1.

C = 15 - 1 - 1 = 13.

Range = C - A = 13 - 1 = 12.

integers are 1, 1, 13.