Answer :
To solve the problem, we need to find the mean, median, and mode of the given golf scores:
Golf scores: 72, 71, 71, 70, 70, 70, 69, 69, 69, 68, 68, 68, 68, 67, 67
### Mean
The mean is the average of all the scores. To find it, add all the scores together and then divide by the number of scores.
1. Add up all the scores:
[tex]\( 72 + 71 + 71 + 70 + 70 + 70 + 69 + 69 + 69 + 68 + 68 + 68 + 68 + 67 + 67 = 1037 \)[/tex]
2. Count the number of scores: [tex]\( 15 \)[/tex]
3. Calculate the mean:
[tex]\(\text{Mean} = \frac{1037}{15} \approx 69.13\)[/tex]
(rounded to one decimal place, it is 69.1)
### Median
The median is the middle number in a sorted list. Since we already have the scores in order, we find the middle score.
1. Since there are 15 scores, the median is the 8th score in the list.
2. The 8th score is 69.
### Mode
The mode is the number that appears most frequently.
1. Look at the frequency of each score:
- 67 occurs 2 times
- 68 occurs 4 times
- 69 occurs 3 times
- 70 occurs 3 times
- 71 occurs 2 times
- 72 occurs 1 time
2. The score that appears the most often is 68 (which appears 4 times).
### Conclusion
The correct identification is:
- Mean: 69.1
- Median: 69
- Mode: 68
So, the correct answer is:
mean: 69.1, median: 69, mode: 68
Golf scores: 72, 71, 71, 70, 70, 70, 69, 69, 69, 68, 68, 68, 68, 67, 67
### Mean
The mean is the average of all the scores. To find it, add all the scores together and then divide by the number of scores.
1. Add up all the scores:
[tex]\( 72 + 71 + 71 + 70 + 70 + 70 + 69 + 69 + 69 + 68 + 68 + 68 + 68 + 67 + 67 = 1037 \)[/tex]
2. Count the number of scores: [tex]\( 15 \)[/tex]
3. Calculate the mean:
[tex]\(\text{Mean} = \frac{1037}{15} \approx 69.13\)[/tex]
(rounded to one decimal place, it is 69.1)
### Median
The median is the middle number in a sorted list. Since we already have the scores in order, we find the middle score.
1. Since there are 15 scores, the median is the 8th score in the list.
2. The 8th score is 69.
### Mode
The mode is the number that appears most frequently.
1. Look at the frequency of each score:
- 67 occurs 2 times
- 68 occurs 4 times
- 69 occurs 3 times
- 70 occurs 3 times
- 71 occurs 2 times
- 72 occurs 1 time
2. The score that appears the most often is 68 (which appears 4 times).
### Conclusion
The correct identification is:
- Mean: 69.1
- Median: 69
- Mode: 68
So, the correct answer is:
mean: 69.1, median: 69, mode: 68
