To estimate the total number of fish Katie has caught over her entire fishing trips based on the sample provided, we can use the average number of fish caught per trip from the sample and then multiply that by the total number of trips.
Here's how to do it step by step:
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Calculate the Average from the Sample:
- Add up the number of fish caught in the sample.
- Sample data: 14, 11, 14, 17, 14, 20.
- Total from the sample = 14 + 11 + 14 + 17 + 14 + 20 = 90.
- Number of trips in the sample = 6.
- Average = Total fish from sample / Number of trips = 90 / 6 = 15.
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Estimate the Total for All Trips:
- If Katie has made 60 fishing trips, we can estimate the total number of fish caught.
- Estimated total fish caught = Average fish per trip * Total trips = 15 * 60 = 900.
Therefore, based on the sample provided, we estimate that Katie has caught approximately 900 fish in her total of 60 fishing trips.