High School

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

Answer :

To solve the problem of finding the mean, median, and midrange of the given scores from the women's golf team, let's go through each part step-by-step:

1. Mean:
- The mean is found by adding all the scores together and dividing by the number of scores.
- Scores: 68, 62, 60, 64, 70, 66, 72
- First, add the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the total by 7 to find the mean: [tex]\(\frac{462}{7} = 66\)[/tex].

2. Median:
- The median is the middle score when all the scores are arranged in order.
- Arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores (an odd number), the median is the 4th score: 66.

3. Midrange:
- The midrange is calculated by taking the average of the minimum and maximum scores.
- The minimum score is 60 and the maximum score is 72.
- Compute the midrange: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].

Given these calculations, we find that:

- Mean = 66
- Median = 66
- Midrange = 66

Therefore, the correct choice is option D: Mean = 66, Median = 66, Midrange = 66.