The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = A
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = B
Set III = {6, 6, 6, 14, 14, 14}, standard deviation = C
Rank these three standard deviations from least to greatest.  Select the correct option
A) A, B, C
B) A, C, B
C) B, A, C
D) B, C, A
E) C, B, A
SD is minimum when the terms are closer to the mean.   In set 2, we have all terms equal to mean. hence, its SD is 0.(The Lowest)   Comparing Set 1 and Set 3, Set 1 has terms more closer to mean than set 3. hence, Set 3 Sd is the highest.   So, Answer is B, A, C
<result>C</result>
The following sets each have a mean of 10 and the standard deviations are given in variable form.
Set I = {7, 8, 9, 11, 12, 13}, standard deviation = A
Set II = {10, 10, 10, 10, 10, 10}, standard deviation = B
Set III = {6, 6, 6, 14, 14, 14}, standard deviation = C
Rank these three standard deviations from least to greatest.