Question
People on a whale-watching trip compared the number of whales they saw.
Whale watching
0
1
2
3
4
5
6
Whales spotted
What is the mean of the numbers?
Whale watching
0
1
2
3
4
5
6
Whales spotted
What is the mean of the numbers?
Answers
GPT-4o mini
To calculate the mean of the number of whales spotted, we need to find the total number of whales counted and the total number of observations (or the number of people who spotted whales).
Let’s assume the number of people who spotted the corresponding number of whales is as follows:
- 0 whales: \(a\) people
- 1 whale: \(b\) people
- 2 whales: \(c\) people
- 3 whales: \(d\) people
- 4 whales: \(e\) people
- 5 whales: \(f\) people
- 6 whales: \(g\) people
The total number of whales spotted can be calculated using the formula:
\[
\text{Total whales} = (0 \cdot a) + (1 \cdot b) + (2 \cdot c) + (3 \cdot d) + (4 \cdot e) + (5 \cdot f) + (6 \cdot g)
\]
The total number of observations is:
\[
\text{Total observations} = a + b + c + d + e + f + g
\]
Now, the mean (average) number of whales spotted is calculated as:
\[
\text{Mean} = \frac{\text{Total whales}}{\text{Total observations}}
\]
If you provide the number of people who observed each count of whales, I can help you compute the exact mean. Otherwise, the formula above can be used as a guide for your calculations.
Let’s assume the number of people who spotted the corresponding number of whales is as follows:
- 0 whales: \(a\) people
- 1 whale: \(b\) people
- 2 whales: \(c\) people
- 3 whales: \(d\) people
- 4 whales: \(e\) people
- 5 whales: \(f\) people
- 6 whales: \(g\) people
The total number of whales spotted can be calculated using the formula:
\[
\text{Total whales} = (0 \cdot a) + (1 \cdot b) + (2 \cdot c) + (3 \cdot d) + (4 \cdot e) + (5 \cdot f) + (6 \cdot g)
\]
The total number of observations is:
\[
\text{Total observations} = a + b + c + d + e + f + g
\]
Now, the mean (average) number of whales spotted is calculated as:
\[
\text{Mean} = \frac{\text{Total whales}}{\text{Total observations}}
\]
If you provide the number of people who observed each count of whales, I can help you compute the exact mean. Otherwise, the formula above can be used as a guide for your calculations.