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------------------------------------------------ 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]

Answer :

Let's solve the problem of finding the mean, median, and midrange of the golf scores: 68, 62, 60, 64, 70, 66, and 72.

1. Mean:
- To find the mean, add up all the scores and then divide by the number of scores.
- Add the scores: 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
- There are 7 scores.
- Mean = Total Sum / Number of Scores = 462 / 7 = 66

2. Median:
- To find the median, first list the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores (an odd number), the median is the middle score.
- The fourth score in the ordered list is 66, so the median is 66.

3. Midrange:
- The midrange is the average of the lowest and highest scores.
- Lowest score = 60, Highest score = 72
- Midrange = (Lowest Score + Highest Score) / 2 = (60 + 72) / 2 = 132 / 2 = 66

Based on these calculations, the mean, median, and midrange are all 66. The correct answer is:

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