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

Answer :

To solve this problem, we need to find the mean, median, and midrange of the golf scores provided. Let's go through each step to understand how these values are calculated.

1. Mean:
- To find the mean, add all the scores together and then divide by the number of scores.
- Scores are: 68, 62, 60, 64, 70, 66, 72.
- Summing these gives: 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462.
- There are 7 scores in total.
- Mean = Total of scores / Number of scores = 462 / 7 = 66.

2. Median:
- The median is the middle number when all the scores are arranged in ascending order.
- First, sort the scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores, the middle score is the 4th one.
- Median = 66.

3. Midrange:
- The midrange is calculated by taking the average of the smallest and largest numbers in the set.
- The smallest score is 60, and the largest score is 72.
- Midrange = (Smallest score + Largest score) / 2 = (60 + 72) / 2 = 132 / 2 = 66.

Based on this, the calculated values are:
- Mean = 66
- Median = 66
- Midrange = 66

Therefore, the correct choice is:
d. Mean = 66, median = 66, midrange = 66