Which of the following two data values when included in the set {1, 2, 3, 4, 5} will result in the new set with lowest standard deviation
A) (1,5)
B) (2,3)
C) (2,4)
D) (1,3)
E) (3,3)
SOURCE: www.GMATinsight.com
Answer: Option E
Which of the following two data values when included in the
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We see that the mean of the given set {1, 2, 3, 4, 5} is 3.GMATinsight wrote:Which of the following two data values when included in the set {1, 2, 3, 4, 5} will result in the new set with lowest standard deviation
A) (1,5)
B) (2,3)
C) (2,4)
D) (1,3)
E) (3,3)
SOURCE: www.GMATinsight.com
Answer: Option E
Standard Deviation is a measure of the spread of elements w.r.t. mean. Closer the elements are to the mean of the set, lesser the Standard Deviation (SD) is.
Since the values of the Option E (3, 3) elements is 3 each, the deviation w.r.t. mean (3) is 0, thus SD would be least if we include these two elements.
The correct answer: E
Hope this helps!
Relevant book: Manhattan Review GMAT Sets & Statistics Guide
-Jay
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