Question

5.Examine the data for Groups A and Group B below. What statement about Group B is true? Make sure tocalculate the mean and median of both Groups A and Group B to help you.Group A1468Group B45611The mean of Group B is smaller than Group A, and the median is larger.The mean of Group B is smaller than Group A, and the median is the same.The mean of Group B is larger than Group A, and the median is the same.The mean of Group B is smaller than Group A, and the median is the same.Explain or show your reasoning below for your choice.1012

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Group A and group B

Step 02:

Statistics:

We must analyze the data to find the solution.

Group A:

1 4 6 8 10

mean:

$mean\text{ = }\frac{1+4+6+8+10}{5}=5.8$

median:

median = 6

Group B:

4 5 6 11 12

mean:

$mean\text{ = }\frac{4+5+6+11+12}{5}=7.6$

median:

median = 6

The answer is:

The mean of Group B is larger than Group A, and the median is the same.