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------------------------------------------------ Suppose the scores of seven members of a women's golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midrange.

a. Mean = 64, median = 64, midrange = 64
b. Mean = 65, median = 64, midrange = 66
c. Mean = 66, median = 77, midrange = 65
d. Mean = 66, median = 66, midrange = 66

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

Answer :

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

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

2. Median:
- To find the median, you first need to order the scores from smallest to largest: 60, 62, 64, 66, 68, 70, 72.
- The median is the middle number. Since there are 7 scores, the fourth score in the ordered list is the middle one.
- The median is 66.

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

Given these calculations, the answer is:
- Mean = 66
- Median = 66
- Midrange = 66

Thus, the correct choice is:

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