Carcass wrote:
For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median?
(A) 0
(B) 1
(C) n+l
(D) n+2
(E) n+3
To calculate the median, arrange the numbers in ascending order: {n, n + 1,
n + 2, n + 4, n + 8}
Since we have an ODD number of values, the median is the middlemost term
Median =
n + 2The mean = [n + (n+1) + (n+2) + (n+4) + (n+8)]/5
= (5n + 15)/5
=
n + 3The mean is how much greater than the median?Difference = (
n + 3) - (
n + 2)
= 1
Answer: B
Cheers,
Brent