question 9 of 10\nwhich data set has the largest standard deviation?\na. 20, 21, 23, 19, 19, 20, 20\nb. 3…

question 9 of 10\nwhich data set has the largest standard deviation?\na. 20, 21, 23, 19, 19, 20, 20\nb. 3, 4, 3, 4, 3, 4, 3\nc. 12, 14, 13, 14, 12, 13, 12\nd. 1, 6, 3, 15, 4, 12, 8

question 9 of 10\nwhich data set has the largest standard deviation?\na. 20, 21, 23, 19, 19, 20, 20\nb. 3, 4, 3, 4, 3, 4, 3\nc. 12, 14, 13, 14, 12, 13, 12\nd. 1, 6, 3, 15, 4, 12, 8

Answer

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