Bunuel wrote:

Which of the following sets has the smallest standard deviation?

A. {2, 2, 2, 2, 2, 2}

B. {3, 4, 4, 4, 4, 5}

C. {1, 2, 3, 4, 5, 6}

D. {1, 1, 5, 8, 9, 11}

E. {1, 4, 4, 7, 9, 12}

Standard deviation is the measure of the separation among the terms.

No deviation among the term = ZERO Standard deviationOption A will have ZERO standard deviation

The increasing order of the standard deviation of the sets given in 5 options will be as follows

A < B < C < D and E are close but as per my observation standard deviation of D should be greater than the SD of E because two repeated elements in E are closer to mean and two repeated elements in D are closer to extreme
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