Question

Which of the following sets of four numbers has the smallest standard deviation?

A. 0, 0, 10, 10
B. 5, 5, 5, 6
C. 0, 1, 2, 3
D. 7, 8, 9, 10

Answer 1

To find the set with the smallest standard deviation, calculate the standard deviation for each set of numbers and compare them. The set with the smallest standard deviation is B. 5, 5, 5, 6, with a standard deviation of 0.5.

Step-by-step explanation:

To find the set with the smallest standard deviation, we need to calculate the standard deviation for each set of numbers.

A. 0, 0, 10, 10

B. 5, 5, 5, 6

C. 0, 1, 2, 3

D. 7, 8, 9, 10

Calculating the standard deviation for each set, we find:

A. Standard deviation = 5

B. Standard deviation = 0.5

C. Standard deviation ≈ 1.29

D. Standard deviation ≈ 1.29

The set with the smallest standard deviation is B. 5, 5, 5, 6, with a standard deviation of 0.5.