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

Let's find the mean, median, and midrange of the given scores: 68, 62, 60, 64, 70, 66, and 72.

1. Mean:
- To find the mean, add all the scores and then divide by the number of scores.
- Sum of scores: [tex]$68 + 62 + 60 + 64 + 70 + 66 + 72 = 462$[/tex].
- There are 7 scores, so divide the sum by 7: [tex]$\frac{462}{7} = 66$[/tex].
- The mean is 66.

2. Median:
- To find the median, arrange the scores in ascending order and find the middle number.
- Ordered scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores, the middle one (4th score) is the median: 66.
- The median is 66.

3. Midrange:
- To find the midrange, add the smallest and largest scores and then divide by 2.
- Smallest score: 60, Largest score: 72.
- Calculate the midrange: [tex]$\frac{60 + 72}{2} = \frac{132}{2} = 66$[/tex].
- The midrange is 66.

Based on these calculations, the correct choice is:
d. Mean = 66, median = 66, midrange = 66