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Answer :
To determine which measure of center best represents Jasmine as a good bowler, we need to compare the mean and the median of her scores.
1. List of Scores:
- Jasmine bowled five games with the following scores: 182, 195, 98, 175, and 182.
2. Calculate the Mean:
- Add all the scores together: 182 + 195 + 98 + 175 + 182 = 832
- Divide the sum by the number of games (5):
[tex]\[ \text{Mean} = \frac{832}{5} = 166.4 \][/tex]
3. Calculate the Median:
- First, arrange the scores in ascending order: 98, 175, 182, 182, 195.
- Since there is an odd number of scores (5), the median is the middle value.
- The middle score in this ordered list is 182.
4. Comparison:
- The mean score is 166.4, while the median score is 182.
- The median is a better choice to convince someone that Jasmine is a good bowler because it is higher than the mean. The median is not affected as much by the lower score of 98, which pulls the mean down. Hence, the median gives a better impression of her overall performance.
Therefore, using the median is more persuasive in showing that Jasmine is a good bowler.
1. List of Scores:
- Jasmine bowled five games with the following scores: 182, 195, 98, 175, and 182.
2. Calculate the Mean:
- Add all the scores together: 182 + 195 + 98 + 175 + 182 = 832
- Divide the sum by the number of games (5):
[tex]\[ \text{Mean} = \frac{832}{5} = 166.4 \][/tex]
3. Calculate the Median:
- First, arrange the scores in ascending order: 98, 175, 182, 182, 195.
- Since there is an odd number of scores (5), the median is the middle value.
- The middle score in this ordered list is 182.
4. Comparison:
- The mean score is 166.4, while the median score is 182.
- The median is a better choice to convince someone that Jasmine is a good bowler because it is higher than the mean. The median is not affected as much by the lower score of 98, which pulls the mean down. Hence, the median gives a better impression of her overall performance.
Therefore, using the median is more persuasive in showing that Jasmine is a good bowler.
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