Data Sufficiency (DS) | Re: S is a set of positive integers. The average of the terms in

Average = Range
For sum of integers, we need the number of terms and average or range.

(1) The range of S is a prime number that is less than 11 and is not a factor of 10.

There are 4 prime numbers less than 11: 2, 3, 5, 7
2 and 5 are factors of 10 so range will be either 3 or 7. Not sufficient.

(2) S is composed of 5 different integers.

We know the number of integers but not the average or range. Not sufficient.

Using both, we know that we have 5 distinct integers. Their range cannot be 3. Take for example, 1, 2,3 ,4 ,5 (the range will be at least 4)
Hence range is 7. This means the average is also 7.
Then sum of integers = 5 * 7 = 35
Sufficient.

Answer (C)

Now try this question on mean, median and range:
...

Statistics : Posted by KarishmaB • on 23 Sep 2012, 19:27 • Replies 19 • Views 16759

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