Question

question 9 of 10
which data set has the largest standard deviation?
a. 20, 21, 23, 19, 19, 20, 20
b. 3, 4, 3, 4, 3, 4, 3
c. 12, 14, 13, 14, 12, 13, 12
d. 1, 6, 3, 15, 4, 12, 8

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the amount of variation or dispersion of a set of values. A larger spread of data points from the mean results in a larger standard deviation.

Step2: Analyze option A

The data set A = {20, 21, 23, 19, 19, 20, 20} has values that are relatively close to each other. The values range from 19 - 23.

Step3: Analyze option B

The data set B = {3, 4, 3, 4, 3, 4, 3} has only two values (3 and 4), so the spread is small.

Step4: Analyze option C

The data set C = {12, 14, 13, 14, 12, 13, 12} has values in the range 12 - 14, which is a small spread.

Step5: Analyze option D

The data set D = {1, 6, 3, 15, 4, 12, 8} has values that are more spread out. The minimum value is 1 and the maximum value is 15, which is a much larger range compared to the other data - sets.

Answer:

D. 1, 6, 3, 15, 4, 12, 8