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题库 / Prep2007E1-DS-113
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).
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
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等差数列的平均数=中位数，无论个数是奇数个还是偶数个。因为等差数列的a(1)+a(n)=a(2)+a(n-1)=……，如果是奇数个，平均数=头尾相加/2=最中间的数/1=最中间的数=中位数；如果是偶数个，平均数=头尾相加/2=最中间的数相加/2=中位数
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