Question

A set of five integers contains 1 , 3 , and 22 . what other two integers must be included in this set so that the mean of all five integers is 16 and the median is 13 ? the larger of these two numbers is , and the smaller of them is .

Answer 1

Total number of integers = 5

median
= (5+1)/2 th observation
= 3 rd observation

therefore the 3rd number = 13

now let the other number be x

total sum = 1+3+13+x+22 = 39+x

ATQ

(39+x)/5 = 16

39+x = 80

x = 41

the numbers are -

1,3,13,22,41