Answer :
To find the mean, median, and mode of the given golf scores, let's go through each step:
1. Mean:
- The mean is the average of all the scores. To calculate it, add all the scores together and then divide by the number of scores.
- The scores are: 72, 71, 70, 70, 70, 69, 69, 69, 69, 69, 68, 68, 68, 67, 67.
- There are 15 scores in total.
- Calculate the sum: 72 + 71 + 70 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67 = 1036.
- Divide the sum by the number of scores: 1036 / 15 = 69.067 (rounded to three decimal places).
2. Median:
- The median is the middle score when all the scores are arranged in order.
- First, sort the scores: 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 71, 72.
- There are 15 scores, which is an odd number, so the median is the 8th score.
- The 8th score in this sorted list is 69.
3. Mode:
- The mode is the number that appears most frequently in the list of scores.
- Look at the sorted scores: 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 71, 72.
- The number 69 appears the most, with a count of 5 times.
So, the mean is approximately 69.067, the median is 69, and the mode is 69.
1. Mean:
- The mean is the average of all the scores. To calculate it, add all the scores together and then divide by the number of scores.
- The scores are: 72, 71, 70, 70, 70, 69, 69, 69, 69, 69, 68, 68, 68, 67, 67.
- There are 15 scores in total.
- Calculate the sum: 72 + 71 + 70 + 70 + 70 + 69 + 69 + 69 + 69 + 69 + 68 + 68 + 68 + 67 + 67 = 1036.
- Divide the sum by the number of scores: 1036 / 15 = 69.067 (rounded to three decimal places).
2. Median:
- The median is the middle score when all the scores are arranged in order.
- First, sort the scores: 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 71, 72.
- There are 15 scores, which is an odd number, so the median is the 8th score.
- The 8th score in this sorted list is 69.
3. Mode:
- The mode is the number that appears most frequently in the list of scores.
- Look at the sorted scores: 67, 67, 68, 68, 68, 69, 69, 69, 69, 69, 70, 70, 70, 71, 72.
- The number 69 appears the most, with a count of 5 times.
So, the mean is approximately 69.067, the median is 69, and the mode is 69.