College

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

Answer :

To find the mean, median, and midrange of the given scores, let's go through each step one by one:

1. Mean:
- To calculate the mean, add up all the scores and then divide the total by the number of scores.
- The scores are: 68, 62, 60, 64, 70, 66, and 72.
- Sum of scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- Number of scores: 7.
- Mean = [tex]\( \frac{462}{7} = 66 \)[/tex].

2. Median:
- First, arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- The median is the middle value in an ordered list.
- Since there are 7 scores, the median is the 4th score: 66.

3. Midrange:
- The midrange is calculated by taking the average of the smallest and largest numbers in the set.
- Smallest score: 60.
- Largest score: 72.
- Midrange = [tex]\( \frac{60 + 72}{2} = 66 \)[/tex].

So, the mean is 66, the median is 66, and the midrange is 66. Therefore, the correct answer is:

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

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