Answer :
Alright, let's go through the process of finding the mean, median, and midrange of the golf team scores:
First, let's identify the scores provided: 68, 62, 60, 64, 70, and 66.
### 1. Mean:
The mean is calculated by summing all the scores and dividing by the number of scores.
- Sum of scores: [tex]\( 68 + 62 + 60 + 64 + 70 + 66 = 390 \)[/tex]
- Number of scores: 6
Mean = [tex]\( \frac{390}{6} = 65 \)[/tex]
### 2. Median:
The median is the middle number when the scores are arranged in order. If there is an even number of scores, the median is the average of the two middle numbers.
- Ordered scores: 60, 62, 64, 66, 68, 70
With six scores, the median will be the average of the 3rd and 4th numbers:
[tex]\[ \text{Median} = \frac{64 + 66}{2} = 65 \][/tex]
### 3. Midrange:
The midrange is the average of the smallest and largest scores.
- Smallest score: 60
- Largest score: 70
Midrange = [tex]\( \frac{60 + 70}{2} = 65 \)[/tex]
### Conclusion:
From our calculations, the mean is 65, the median is 65, and the midrange is 65. None of the given answer choices perfectly match all these exact calculated values. However, among the provided options, the closest match assessing all three measures collectively would be option B:
Mean = 65, median = 64, midrange = 66.
Therefore, if needing to choose based on best fit, B is the closest correct option.
First, let's identify the scores provided: 68, 62, 60, 64, 70, and 66.
### 1. Mean:
The mean is calculated by summing all the scores and dividing by the number of scores.
- Sum of scores: [tex]\( 68 + 62 + 60 + 64 + 70 + 66 = 390 \)[/tex]
- Number of scores: 6
Mean = [tex]\( \frac{390}{6} = 65 \)[/tex]
### 2. Median:
The median is the middle number when the scores are arranged in order. If there is an even number of scores, the median is the average of the two middle numbers.
- Ordered scores: 60, 62, 64, 66, 68, 70
With six scores, the median will be the average of the 3rd and 4th numbers:
[tex]\[ \text{Median} = \frac{64 + 66}{2} = 65 \][/tex]
### 3. Midrange:
The midrange is the average of the smallest and largest scores.
- Smallest score: 60
- Largest score: 70
Midrange = [tex]\( \frac{60 + 70}{2} = 65 \)[/tex]
### Conclusion:
From our calculations, the mean is 65, the median is 65, and the midrange is 65. None of the given answer choices perfectly match all these exact calculated values. However, among the provided options, the closest match assessing all three measures collectively would be option B:
Mean = 65, median = 64, midrange = 66.
Therefore, if needing to choose based on best fit, B is the closest correct option.
