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Answer :
To find the mean, median, and midrange of the given scores of the women's golf team, we'll break it down into simple steps. The scores are: 68, 62, 60, 64, 70, 66, and 72.
1. Mean: The mean is the average of all the scores.
- First, add up all the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- Then, divide the sum by the number of scores: [tex]\(\frac{462}{7} = 66\)[/tex].
2. Median: The median is the middle number when the scores are arranged in order.
- First, sort the scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores (an odd number), the median is the 4th score in the ordered list, which is 66.
3. Midrange: The midrange is the average of the smallest and largest numbers.
- Find the smallest score, which is 60, and the largest score, which is 72.
- Calculate the midrange: [tex]\(\frac{60 + 72}{2} = 66\)[/tex].
With these calculations, the results are:
- Mean = 66
- Median = 66
- Midrange = 66
Therefore, the correct answer is option D: Mean [tex]\(=66\)[/tex], Median [tex]\(=66\)[/tex], Midrange [tex]\(=66\)[/tex].
1. Mean: The mean is the average of all the scores.
- First, add up all the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- Then, divide the sum by the number of scores: [tex]\(\frac{462}{7} = 66\)[/tex].
2. Median: The median is the middle number when the scores are arranged in order.
- First, sort the scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores (an odd number), the median is the 4th score in the ordered list, which is 66.
3. Midrange: The midrange is the average of the smallest and largest numbers.
- Find the smallest score, which is 60, and the largest score, which is 72.
- Calculate the midrange: [tex]\(\frac{60 + 72}{2} = 66\)[/tex].
With these calculations, the results are:
- Mean = 66
- Median = 66
- Midrange = 66
Therefore, the correct answer is option D: Mean [tex]\(=66\)[/tex], Median [tex]\(=66\)[/tex], Midrange [tex]\(=66\)[/tex].
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