Question

The set {3, 6, 9, 10} is augmented by a fifth element n, not equal to any of the other four. The median of the resulting set is equal to its mean. What is the sum of all possible values of n?

Answer 1

Answer:

5th element is 17

since The median of the resulting set is equal to its mean

the sum of all possible values of n is 26

Step-by-step explanation:

mean sum of elements/total number of elements

mean = (3+6+9+10+n)/5

28+n/5 = median =9

so n= 17

and all other possible numbers

n= 2,7,17

sum of n  = 2+7+17 = 26