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Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and set C consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of the following represents the ranking of these sets in an ascending order of the standard deviation?
(A) C, A, B
(B) A, B, C
(C) C, B, A
(D) B, C, A
(E) B, A, C
(A) C, A, B
(B) A, B, C
(C) C, B, A
(D) B, C, A
(E) B, A, C
14 Mar 2011, 09:43
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punyadeep
Set A consists of all prime numbers between 10 and 25; Set B consists of consecutive even integers, and set C consists of consecutive multiples of 7. If all the three sets have an equal number of terms, which of the following represents the ranking of these sets in an ascending order of the standard deviation?
(A) C, A, B
(B) A, B, C
(C) C, B, A
(D) B, C, A
(E) B, A, C
(A) C, A, B
(B) A, B, C
(C) C, B, A
(D) B, C, A
(E) B, A, C
Set A - {11, 13, 17, 19, 23};
Set B - {5 consecutive even integers}, for example - {12, 14, 16, 18, 20};
Set C - {5 consecutive multiples of 7}, for example - {7, 14, 21, 28, 35}.
Now, the standard deviation of a set shows how much variation there is from the mean, how widespread a given set is. So, a low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.
You can see that set C is most widespread and set B is least widespread, so the correct answer is: B, A, C.
Answer: E.
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