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

b. Larger

Step-by-step 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

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.