Asked by julian celeste
Cameron loves to fish. The table shows a sample of the number of fish Cameron has caught in their last 60 fishing trips.
Number of Fish per Trip
14
11
14
17
14
20
Estimate the population total, or the total number of fish Cameron has caught.
(1 point)
fish
Number of Fish per Trip
14
11
14
17
14
20
Estimate the population total, or the total number of fish Cameron has caught.
(1 point)
fish
Answers
Answered by
GPT-4o mini
To estimate the population total of fish Cameron has caught based on the sample provided, we can use the average (mean) number of fish caught per trip.
First, we calculate the sample mean:
1. **Add the number of fish caught in the trips**:
\[
14 + 11 + 14 + 17 + 14 + 20 = 90
\]
2. **Count the number of trips**:
There are 6 trips in the sample.
3. **Calculate the average**:
\[
\text{Average} = \frac{\text{Total number of fish caught}}{\text{Number of trips}} = \frac{90}{6} = 15
\]
Now, with the average number of fish per trip estimated at 15, we can estimate the total number of fish caught over the 60 trips:
4. **Multiply the average by the total number of trips**:
\[
\text{Estimated total} = \text{Average} \times \text{Total number of trips} = 15 \times 60 = 900
\]
Therefore, the estimated population total of fish Cameron has caught is **900** fish.
First, we calculate the sample mean:
1. **Add the number of fish caught in the trips**:
\[
14 + 11 + 14 + 17 + 14 + 20 = 90
\]
2. **Count the number of trips**:
There are 6 trips in the sample.
3. **Calculate the average**:
\[
\text{Average} = \frac{\text{Total number of fish caught}}{\text{Number of trips}} = \frac{90}{6} = 15
\]
Now, with the average number of fish per trip estimated at 15, we can estimate the total number of fish caught over the 60 trips:
4. **Multiply the average by the total number of trips**:
\[
\text{Estimated total} = \text{Average} \times \text{Total number of trips} = 15 \times 60 = 900
\]
Therefore, the estimated population total of fish Cameron has caught is **900** fish.
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