If the average of five numbers, x, 7, 2, 16, and 11 = the median, what is x?
a. 7 < x > 11
b. x is median of the five numbers
Ave and Median
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 424
- Joined: Sun Dec 07, 2008 5:15 pm
- Location: Sydney
- Thanked: 12 times
IMO Aebehboud wrote:If the average of five numbers, x, 7, 2, 16, and 11 = the median, what is x?
a. 7 < x > 11
b. x is median of the five numbers
A. x can be 8,9,10.
But only when x = 9 , mean = median
B. Insufficient.
- awesomeusername
- Master | Next Rank: 500 Posts
- Posts: 226
- Joined: Tue Jan 13, 2009 1:27 pm
- Thanked: 23 times
- Followed by:1 members
I think you mean 7<x<11 right?
(A) implies that x=9, since x has to be the median (middle) number and must also be the average. Since 9 has numbers "evenly-spaced" on its left and right, it's the average too.
(B) if x is the median and average, then x must be 9.
So (D) IMO
(A) implies that x=9, since x has to be the median (middle) number and must also be the average. Since 9 has numbers "evenly-spaced" on its left and right, it's the average too.
(B) if x is the median and average, then x must be 9.
So (D) IMO
Constant dripping hollows out a stone.
-Lucretius
-Lucretius