Question

question 10 of 10 which data set has the smallest standard deviation? a. 6,7,6,7,1004,980,350 b. 99,199,299,55,44,33,22 c. 1,6,19,20,85,29,0 d. 22,22,23,23,22,22,23

Explanation:

Step1: Recall standard - deviation concept

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

Step2: Analyze each data - set

Set A has values 6, 7, 6, 7, 1004, 980, 350. There are small values (6, 7) and large outliers (1004, 980, 350), so it has a large spread.
Set B has values 99, 199, 299, 55, 44, 33, 22. The values vary significantly, so it has a large spread.
Set C has values 1, 6, 19, 20, 85, 29, 0. The values are quite dispersed, so it has a large spread.
Set D has values 22, 22, 23, 23, 22, 22, 23. The values are clustered closely around 22 and 23, indicating a small spread.

Answer:

D. 22, 22, 23, 23, 22, 22, 23