Question

Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? (Note: This question can be answered by knowing the concept of standard deviation, without actually computing the standard deviation).

Set A: 1 2 3 23 24 25

Set B: 8 10 12 14 16 18

a.Smaller
b. Larger
c. About the same
d. Unable to tell

Answer 1

b. Larger

Explanation:

The standard deviation of a distribution measures how much each value of the distribution deviates from the center, that is, the mean of the distribution.

The more the elements are dispersed, that is, the higher the range of the set, the higher the standard deviation will be.

In this problem:

Set A contains distance values.

Set B contains close values.

So Set A has the higher standard deviation.

So the correct answer is:

b. Larger