To analyze the stem-and-leaf plot for the number of points scored by the Bears, we first need to understand the structure of a stem-and-leaf plot. Typically, the "stem" represents the leading digit(s) of the data points, and the "leaf" represents the trailing digit.
Here’s how you can proceed with calculating the mean, median, and counting the number of games where they scored at least 30 points:
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Extract Data: From the stem-and-leaf plot, construct a list of the scores. For example, if the stem and leaf were as follows:
Stem | Leaf 2 | 5 7 8 3 | 0 1 3 4 6 4 | 1 2 3 9This indicates the scores: 25, 27, 28, 30, 31, 33, 34, 36, 41, 42, 43, 49. (Just a hypothetical example; you would replace this with your actual data.)
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Calculate the Mean:
- Sum all the scores.
- Divide by the number of scores.
- Mean = (Total score) / (Number of games).
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Calculate the Median:
- Sort the scores in ascending order (if not already).
- Find the middle score.
- If there is an odd number of scores, the median is the middle score.
- If there is an even number of scores, the median is the average of the two middle scores.
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Count the Scores of At Least 30 Points:
- Count all scores that are equal to or greater than 30.
Example Calculations
Using the above example data:
- Scores: 25, 27, 28, 30, 31, 33, 34, 36, 41, 42, 43, 49
- Total sum: 25 + 27 + 28 + 30 + 31 + 33 + 34 + 36 + 41 + 42 + 43 + 49 = 413.
- Number of games: 12.
Mean: \[ \text{Mean} = \frac{413}{12} \approx 34.4 \]
Median:
- Sorted list: 25, 27, 28, 30, 31, 33, 34, 36, 41, 42, 43, 49.
- Middle scores for 12 data points are the 6th and 7th elements (33 and 34). \[ \text{Median} = \frac{33 + 34}{2} = 33.5 \]
Games scoring at least 30 points: Scores are 30, 31, 33, 34, 36, 41, 42, 43, 49 → 9 games.
Conclusion:
- Mean: 34.4
- Median: 33.5
- Games scoring at least 30 points: 9
Please replace the hypothetical data with actual values from your stem-and-leaf plot for accurate results.
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