Question

Choose the two data sets that have equal standard deviations.

Data set A: 40, 50, 60, 60, 70, 80
Data set B: 90, 95, 100, 105, 110
Data set C: 50, 55, 60, 65, 70
Data set D: 33, 54, 54, 60, 74

Find the two data sets that have the same standard deviation. Select all that apply.

Answer 1

Honestly I’m confused myself because I thought it would be B,C because they both increase by 5

Answer 2

The two data sets that have equal standard deviations are:

Data set A: 40, 50, 60, 60, 70, 80

Data set C: 50, 55, 60, 65, 70

To see this, we can calculate the standard deviation for each data set using a formula or a calculator. Alternatively, we can observe that data sets A and C have similar ranges and distributions, which suggests that they may have similar standard deviations. In contrast, data sets B and D have different ranges and distributions, which suggests that their standard deviations may be different.