High School

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 :

To solve the problem of finding the mean, median, and midrange of the golf scores, let's break it down step by step:

1. Mean (Average):
- To find the mean, sum up all the scores and divide by the number of scores.
- Scores: 68, 62, 60, 64, 70, 66, 72
- Sum of scores = 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
- Number of scores = 7
- Mean = 462 / 7 = 66

2. Median:
- First, arrange the scores in numeric order: 60, 62, 64, 66, 68, 70, 72
- With seven scores (an odd number), the median is the middle number.
- The middle score is the 4th one, which is 66.

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

Therefore, for this set of scores, the mean is 66, the median is 66, and the midrange is 66. Thus, the correct answer is:

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