Answer :
Let's break down the solution step-by-step to find the mean, median, and midrange of the given golf scores: 68, 62, 60, 64, 70, 66, and 72.
1. Find the Mean:
- The mean is the average of all the scores.
- To calculate the mean, add up all the scores and then divide by the number of scores.
- [tex]\( \text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 72}{7} = \frac{462}{7} = 66 \)[/tex]
2. Find the Median:
- The median is the middle number when all the scores are arranged in order.
- First, sort the scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are seven scores, the median is the fourth score in this ordered list, which is 66.
3. Find the Midrange:
- The midrange is the average of the smallest and largest values.
- Smallest score = 60, Largest score = 72.
- [tex]\( \text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66 \)[/tex]
From the calculations, the mean is 66, the median is 66, and the midrange is 66.
Therefore, the best answer choice is:
d. Mean [tex]\( = 66 \)[/tex], median [tex]\( = 66 \)[/tex], midrange [tex]\( = 66 \)[/tex]
1. Find the Mean:
- The mean is the average of all the scores.
- To calculate the mean, add up all the scores and then divide by the number of scores.
- [tex]\( \text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 72}{7} = \frac{462}{7} = 66 \)[/tex]
2. Find the Median:
- The median is the middle number when all the scores are arranged in order.
- First, sort the scores: 60, 62, 64, 66, 68, 70, 72.
- Since there are seven scores, the median is the fourth score in this ordered list, which is 66.
3. Find the Midrange:
- The midrange is the average of the smallest and largest values.
- Smallest score = 60, Largest score = 72.
- [tex]\( \text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66 \)[/tex]
From the calculations, the mean is 66, the median is 66, and the midrange is 66.
Therefore, the best answer choice is:
d. Mean [tex]\( = 66 \)[/tex], median [tex]\( = 66 \)[/tex], midrange [tex]\( = 66 \)[/tex]
