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 of the women's golf team, follow these steps:

1. Mean:
- First, add up all the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- Then, divide the total by the number of scores. Since there are 7 scores, divide by 7:
[tex]\[
\text{Mean} = \frac{462}{7} = 66
\][/tex]

2. Median:
- First, arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- The median is the middle number. Since there are 7 scores, the middle score is the 4th one:
[tex]\[
\text{Median} = 66
\][/tex]

3. Midrange:
- The midrange is calculated by taking the average of the highest and lowest values.
- The lowest score is 60 and the highest score is 72.
- Calculate the midrange:
[tex]\[
\text{Midrange} = \frac{60 + 72}{2} = 66
\][/tex]

Based on these calculations, the mean is 66, the median is 66, and the midrange is 66. So, the best answer choice is:

d. Mean [tex]$=66$[/tex], median [tex]$=66$[/tex], midrange [tex]$=66$[/tex].