Question

A set of five different positive integers has a mean of 19 and a median of 21. What is the greatest value of the greatest integer in the set?

Answer 1

If the mean of 5 numbers is 19 then the sum of the numbers is 5*19 = 95.

If the median is 21, then there are two numbers greater than 21 and two less.

so, the greatest value of the largest member of the set will be when the set contains

1 2 21 22 49

Answer 2

1,2,21,22,49

Answer 3

Yes