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).
Sol:
St 1: The above statement basically means that the terms in the set are in Arithmetic Progression and thus Mean=Median.
Note that if it is given that Mean=Median then it does not mean that the set is in order
St 2: The range of n numbers is 2(n-1)
Consider n=3
Then trange =4
Now if Set consists of elements 1,3 and 5 then Mean=Median
but set consists of 1,4,5 then Mean is not equal to Median
Ans is A
650 levl is okay
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