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Answer :
Let's find the mean, median, and midrange of the given scores: 68, 62, 60, 64, 70, 66, and 72.
1. Mean:
- To find the mean, add all the scores and then divide by the number of scores.
- Sum of scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the sum by 7: [tex]\(\frac{462}{7} = 66\)[/tex].
- The mean is 66.
2. Median:
- To find the median, arrange the scores in ascending order and find the middle number.
- Ordered scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores, the middle one (4th score) is the median: 66.
- The median is 66.
3. Midrange:
- To find the midrange, add the smallest and largest scores and then divide by 2.
- Smallest score: 60, Largest score: 72.
- Calculate the midrange: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].
- The midrange is 66.
Based on these calculations, the correct choice is:
d. Mean = 66, median = 66, midrange = 66
1. Mean:
- To find the mean, add all the scores and then divide by the number of scores.
- Sum of scores: [tex]\(68 + 62 + 60 + 64 + 70 + 66 + 72 = 462\)[/tex].
- There are 7 scores, so divide the sum by 7: [tex]\(\frac{462}{7} = 66\)[/tex].
- The mean is 66.
2. Median:
- To find the median, arrange the scores in ascending order and find the middle number.
- Ordered scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are 7 scores, the middle one (4th score) is the median: 66.
- The median is 66.
3. Midrange:
- To find the midrange, add the smallest and largest scores and then divide by 2.
- Smallest score: 60, Largest score: 72.
- Calculate the midrange: [tex]\(\frac{60 + 72}{2} = \frac{132}{2} = 66\)[/tex].
- The midrange is 66.
Based on these calculations, the correct choice is:
d. Mean = 66, median = 66, midrange = 66
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