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Answer :
To solve the problem of finding the mean, median, and midrange of the golf scores, let's go through the calculations step by step:
1. Mean:
- To find the mean (average), add up all the scores and then divide by the number of scores.
- The scores are: 68, 62, 60, 64, 70, 66, and 72.
- Add them up: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the total by 7: [tex]\(\frac{462}{7} = 66\)[/tex].
- Therefore, the mean is 66.
2. Median:
- The median is the middle number in a sorted list of numbers.
- First, arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores, the middle score is the 4th one in the sorted list.
- The middle score is 66.
- Thus, 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.
- Find the midrange by averaging them: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].
- So, the midrange is 66.
Based on these calculations:
- Mean = 66
- Median = 66
- Midrange = 66
The correct answer is option D: Mean = 66, Median = 66, Midrange = 66.
1. Mean:
- To find the mean (average), add up all the scores and then divide by the number of scores.
- The scores are: 68, 62, 60, 64, 70, 66, and 72.
- Add them up: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the total by 7: [tex]\(\frac{462}{7} = 66\)[/tex].
- Therefore, the mean is 66.
2. Median:
- The median is the middle number in a sorted list of numbers.
- First, arrange the scores in ascending order: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores, the middle score is the 4th one in the sorted list.
- The middle score is 66.
- Thus, 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.
- Find the midrange by averaging them: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].
- So, the midrange is 66.
Based on these calculations:
- Mean = 66
- Median = 66
- Midrange = 66
The correct answer is option D: Mean = 66, Median = 66, Midrange = 66.
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