Question

What combination of seven numbers has a mean of 45, median of 40, and a mode 50?

Answer 1

Answers:

There's many possible solutions to this.

{10, 20, 30, 40, 50, 50, 115} and {32, 33, 35, 40, 50, 50, 75} are two possible solutions.

Step-by-step explanation:

The middle term must be 40.

The sum of the terms must be 315 (7 * 45).

Two of the terms must be 50.

{a, b, c, 40, 50, 50, z}

a < b < c < 40 < 50 < z

and

a + b + c + z = 315 - (40 + 50 + 50) = 175

There's lots of solutions that meets this.

All this credit belongs to Alan P.