Answer :
To solve this problem, we need to find the mean, median, and midrange of the golf scores provided: 68, 62, 60, 64, 70, 66, and 72.
1. Mean:
- To find the mean, add all the scores together and then divide by the total number of scores.
- Total sum of scores = 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
- Number of scores = 7
- Mean = Total sum / Number of scores = 462 / 7 = 66
2. Median:
- To find the median, first list the scores in order from smallest to largest.
- Sorted scores: 60, 62, 64, 66, 68, 70, 72
- Since there are 7 scores (an odd number), the median is the middle score.
- The middle score (4th score) is 66.
3. Midrange:
- The midrange is calculated by adding the smallest and largest scores, then dividing by 2.
- Smallest score = 60, Largest score = 72
- Midrange = (Smallest score + Largest score) / 2 = (60 + 72) / 2 = 132 / 2 = 66
Based on these calculations, the mean, median, and midrange are all 66.
The best answer from the choices provided is:
d. Mean = 66, median = 66, midrange = 66
1. Mean:
- To find the mean, add all the scores together and then divide by the total number of scores.
- Total sum of scores = 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462
- Number of scores = 7
- Mean = Total sum / Number of scores = 462 / 7 = 66
2. Median:
- To find the median, first list the scores in order from smallest to largest.
- Sorted scores: 60, 62, 64, 66, 68, 70, 72
- Since there are 7 scores (an odd number), the median is the middle score.
- The middle score (4th score) is 66.
3. Midrange:
- The midrange is calculated by adding the smallest and largest scores, then dividing by 2.
- Smallest score = 60, Largest score = 72
- Midrange = (Smallest score + Largest score) / 2 = (60 + 72) / 2 = 132 / 2 = 66
Based on these calculations, the mean, median, and midrange are all 66.
The best answer from the choices provided is:
d. Mean = 66, median = 66, midrange = 66
