Suppose the scores of seven members of a women's golf team are [tex]$68, 62, 60, 64, 70, 66, 72$[/tex]. Find the median and midrange.

a. Mean [tex]$=64$[/tex], median [tex]$=64$[/tex], midrange [tex]$=64$[/tex]
b. Mean [tex]$=65$[/tex], median [tex]$=64$[/tex], midrange [tex]$=66$[/tex]
c. Mean [tex]$=66$[/tex], median [tex]$=77$[/tex], midrange [tex]$=65$[/tex]
d. Mean [tex]$=66$[/tex], median [tex]$=66$[/tex], midrange [tex]$=66$[/tex]

Please select the best answer from the choices provided:
A
B
C
D

To solve this problem, we need to find the median and midrange of the given golf scores. Let's go through each step:

The scores given are: 68, 62, 60, 64, 70, 66, and 72.

1. Finding the Median:

- First, we need to arrange the scores in ascending order. The ordered scores are: 60, 62, 64, 66, 68, 70, and 72.
- The median is the middle value in this sorted list. Since we have seven numbers, the middle one will be the fourth number.
- In the list 60, 62, 64, 66, 68, 70, 72, the fourth number is 66. So, the median is 66.

2. Finding the Midrange:

- The midrange is calculated by taking the average of the highest and lowest values in the set.
- The lowest score is 60, and the highest score is 72.
- The midrange is (60 + 72) / 2 = 132 / 2 = 66.

Now, let's match our findings with the options provided:

- The median we found is 66.
- The midrange we found is 66.

Let's compare this with the options:

- Option a: Mean = 64, median = 64, midrange = 64
- Option b: Mean = 65, median = 64, midrange = 66
- Option c: Mean = 66, median = 77, midrange = 65
- Option d: Mean = 66, median = 66, midrange = 66

The correct option based on our median and midrange calculations is:

d. Mean = 66, median = 66, midrange = 66

This option perfectly matches both our median and midrange findings.