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]

Please select the best answer from the choices provided:
A
B
C
D

Answer :

To find the mean, median, and midrange of the scores from the women's golf team, let's go through each step:

1. Mean:
The mean is the average of all the scores. To find the mean, add up all the scores and then divide by the number of scores.

- Add the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex]
- There are 7 scores in total.

So, the mean is [tex]\( \frac{462}{7} = 66\)[/tex].

2. Median:
The median is the middle value when the scores are arranged in ascending order. First, sort the scores:

- Ordered scores: [tex]\(60, 62, 64, 66, 68, 70, 72\)[/tex]

Since there are 7 scores, the median is the fourth score in this ordered list, which is 66.

3. Midrange:
The midrange is the average of the lowest and highest scores.

- The lowest score is 60.
- The highest score is 72.

Calculate the midrange: [tex]\( \frac{60 + 72}{2} = 66\)[/tex].

Based on these calculations, the correct answer is:

d. Mean [tex]\(=66\)[/tex], median [tex]\(=66\)[/tex], midrange [tex]\(=66\)[/tex]