To estimate the population total based on the sample of fish caught in the last 60 fishing trips, we can calculate the average number of fish caught per trip from the provided sample and then multiply that by the total number of trips.
First, let's find the average number of fish caught per trip using the provided data:
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List the number of fish per trip:
- 14
- 11
- 14
- 17
- 14
- 20
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Sum the number of fish caught: \[ 14 + 11 + 14 + 17 + 14 + 20 = 90 \]
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Count the number of trips in the sample: \[ \text{Number of trips} = 6 \]
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Calculate the average number of fish caught per trip: \[ \text{Average} = \frac{\text{Total number of fish}}{\text{Number of trips}} = \frac{90}{6} = 15 \]
Now, to find the estimated total number of fish caught in all 60 trips: \[ \text{Estimated total} = \text{Average number of fish per trip} \times \text{Total number of trips} = 15 \times 60 = 900 \]
Therefore, the estimated population total of fish Cameron has caught is 900 fish.