Question

The mean of five positive integers is twice their median. If four of the integers are 3, 4, 6, 9 and median is 6, then find the fifth integer

Answer 1

Let the 5^th positive integer be x

`bar(x) = (3 + 4 + 6 + 9 + x)/5`

= `(22 + x)/5`

Median = 6

Mean = 2 × median

`(22 + x)/5` = 2 × 6

22 + x = 60

x = 60 – 22

= 38

The fifth integer is 38.