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Tv Watching Distribution 812E73

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1. **Stating the problem:** Pam collected data on how many hours her friends watched TV last weekend. We need to analyze the distribution of this data based on the given statements. 2. **Data points given:** - 1 hour: 3 points - 2 hours: 4 points - 3 hours: 2 points - 4 hours: 1 point - 6 hours: 1 point 3. **Analyzing the statements:** - "The data has a peak at 6 hours." A peak means the highest frequency. Here, 6 hours has only 1 point, but 2 hours has 4 points, which is higher. So this statement is **false**. - "There is a cluster from 1 to 4 hours." A cluster means many points grouped closely. From 1 to 4 hours, there are multiple points (3+4+2+1=10 points), so this is **true**. - "There is a gap from 4 to 6 hours." A gap means no data points in that range. There are no points at 5 hours, so between 4 and 6 hours, there is a gap. This is **true**. 4. **Final conclusion:** - The data does not peak at 6 hours. - There is a cluster from 1 to 4 hours. - There is a gap from 4 to 6 hours. Therefore, the correct statements are the second and third ones.
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