Standard Deviation is about how spread out the numbers are f

Standard Deviation is about how “spread out” the numbers are from its mean.

Which of the following sets has the standard deviation greater than the standard deviation of set A={10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

I. Set B, which consists of 10 first positive integers

II. Set C, which consists of 10 first positive odd numbers

III. Set D, which consists of 10 first prime numbers

A. set B only

B. set C only

C. set D only

D. sets C and D only

E. sets B, C and D

Solution

Set A are evenly spaced 2 units apart.

Set B is evenly spaced 1 unit apart. Hence, it has less standard deviation.

Set C is evenly spaced 2 units apart, so it has the same standard deviation as A.

Set D has irregular spacing, but we are sure that the spacings are more than 2 from 3 onwards.

Thus,

OPTION C: SET D ONLY. [ANSWER]

Standard Deviation is about how “spread out” the numbers are from its mean. Which of the following sets has the standard deviation greater than the standard dev

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