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by abhi332 » Wed Feb 24, 2010 11:26 am
E is a collection of four odd integers and the greatest difference between any two integers in E is 4. The standard deviation of E must be one of how many numbers?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
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by ajith » Wed Feb 24, 2010 11:52 am
abhi332 wrote:E is a collection of four odd integers and the greatest difference between any two integers in E is 4. The standard deviation of E must be one of how many numbers?

(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Say the numbers are a,b,c,d

One possibility is a=b=c, d= a+4
another is a=b; c=d ; c = a+4
another is a=b , c = a+2; d=a+4
Another is a, b=c=a+2, d= a+4
another is a, b=a+2, c=d=a+4
another is a, b=c=d=a+4

6 possibilities I see, Not quite sure though
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