Bunuel wrote:
For a certain set of n numbers, where n > 1, is the average (arithmetic mean) equal to the median?
(1) If the n numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is 2.
(2) The range of the n numbers in the set is 2(n-1).
Question StemAnalysis:
We are given a set containing more than one numbers. We need to determine whether the mean is equal to the median for this set. Recall that in an evenly spaced set, the mean is equal to themedian.
Statement OneAlone:
\(\Rightarrow\) If the n numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is 2.
This means that the set is an evenly spaced set. Thus, as we noted above, the mean is equal to the median for this set. Statement one alone is sufficient.
Eliminate answer choices B, C, andE.
Statement TwoAlone:
\(\Rightarrow\) The range of the n numbers in the set is 2(n- 1).
If our set is {1, 3}, then
...
Statistics : Posted by ScottTargetTestPrep • on 26 Feb 2014, 01:24 • Replies 12 • Views 18776
