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Answer :
To solve the problem of finding the mean, median, and midrange of the given scores from the women's golf team, let's go through each part step-by-step:
1. Mean:
- The mean is found by adding all the scores together and dividing by the number of scores.
- Scores: 68, 62, 60, 64, 70, 66, 72
- First, add the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the total by 7 to find the mean: [tex]\(\frac{462}{7} = 66\)[/tex].
2. Median:
- The median is the middle score when all the scores are arranged in order.
- Arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores (an odd number), the median is the 4th score: 66.
3. Midrange:
- The midrange is calculated by taking the average of the minimum and maximum scores.
- The minimum score is 60 and the maximum score is 72.
- Compute the midrange: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].
Given these calculations, we find that:
- Mean = 66
- Median = 66
- Midrange = 66
Therefore, the correct choice is option D: Mean = 66, Median = 66, Midrange = 66.
1. Mean:
- The mean is found by adding all the scores together and dividing by the number of scores.
- Scores: 68, 62, 60, 64, 70, 66, 72
- First, add the scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the total by 7 to find the mean: [tex]\(\frac{462}{7} = 66\)[/tex].
2. Median:
- The median is the middle score when all the scores are arranged in order.
- Arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores (an odd number), the median is the 4th score: 66.
3. Midrange:
- The midrange is calculated by taking the average of the minimum and maximum scores.
- The minimum score is 60 and the maximum score is 72.
- Compute the midrange: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].
Given these calculations, we find that:
- Mean = 66
- Median = 66
- Midrange = 66
Therefore, the correct choice is option D: Mean = 66, Median = 66, Midrange = 66.
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