Question

Your statistical findings show that the mean and the median of the following data are the same:

Data Set A: 2, 5, 8, 10, 10
Data Set B: 7, 7, 7, 7, 7
Data Set A: Mean = 7, Median = 7
Data Set B: Mean = 7, Median = 7
Just by looking at the data, you can tell the data results are quite different. What statistic do you need to
use to show that difference?

Answer 1

The statistic that can be used to show the difference in the data sets is the standard deviation. By calculating and comparing the standard deviations of the two data sets, you can quantify and demonstrate the difference between them.

Step-by-step explanation:

The statistic that can be used to show the difference in the data sets is the standard deviation. The standard deviation measures the spread or variability of the data. A larger standard deviation indicates more variability in the data, while a smaller standard deviation indicates less variability.

In the given example, Data Set B has a smaller standard deviation because all the values are the same, resulting in less variability. Data Set A, on the other hand, has a larger standard deviation because it has more varied values.

By calculating and comparing the standard deviations of the two data sets, you can quantify and demonstrate the difference between them.