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 :

Let's find the mean, median, and midrange of the golf scores: 68, 62, 60, 64, 70, 66, and 72.

1. Mean:
- To find the mean, add up all the scores and then divide by the number of scores.
- Sum of scores = 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
- Number of scores = 7
- Mean = 462 / 7 = 66

2. Median:
- The median is the middle value when the scores are arranged in numerical order.
- First, arrange the scores: 60, 62, 64, 66, 68, 70, 72
- Since there are 7 scores, the median is the 4th value: 66

3. Midrange:
- The midrange is the average of the lowest and highest scores.
- Lowest score = 60, Highest score = 72
- Midrange = (60 + 72) / 2 = 132 / 2 = 66

Based on this calculation:
- Mean = 66
- Median = 66
- Midrange = 66

The best answer choice is d. Mean = 66, median = 66, midrange = 66.

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