Question

Based on the two data sets given below, which of the following statements are true? Select two that apply. Data Set 1: 5, 5, 6, 6, 7, 7 Data Set 2: 1, 3, 5, 7, 9, 11 A. Data Set 2 has a larger mean than Data Set 1. B. Data Set 2 has the same mean as Data Set 1. C. Data Set 2 has a larger standard deviation than Data Set 1. D. Data Set 2 has a smaller standard deviation than Data Set 1.

Answer 1

Data Set 2 has the same mean as Data Set 1.

and

Data Set 2 has a larger standard deviation than Data Set 1

Explanation:

Mean of both data sets is the same = 6

Data set 2 has a larger standard deviation since the data values are further away from the mean than the data values in data set 1 are from the mean and standard deviation is a measure of variance i.e. how far data set values are from the mean