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]
