To estimate the total number of fish Cameron has caught based on a sample from his last 60 fishing trips, we can first calculate the average (mean) number of fish caught per trip and then multiply that average by the total number of trips.
Step 1: Calculate the average number of fish caught per trip
From the given data, we have the following sample of the number of fish caught:
- 14
- 11
- 14
- 17
- 14
- 20
First, we sum these values:
\[ 14 + 11 + 14 + 17 + 14 + 20 = 90 \]
Next, we find the average:
\[ \text{Average} = \frac{\text{Total number of fish}}{\text{Number of trips}} = \frac{90}{6} = 15 \]
Step 2: Estimate the total number of fish caught
Now, we multiply the average number of fish caught per trip by the total number of trips:
\[ \text{Total estimated fish} = \text{Average} \times \text{Total trips} = 15 \times 60 = 900 \]
Final Answer:
The estimated population total, or the total number of fish Cameron has caught, is 900 fish.