To find the mean number of hours spent on math homework, we first need to calculate the total hours spent and the total number of students.
The data you provided is as follows:
- 1 hour: 8 students
- 2 hours: 6 students
- 3 hours: 4 students
- 4 hours: 2 students
- 5 hours: 1 student
Next, we calculate the total hours spent:
\[ \text{Total hours} = (1 \text{ hour} \times 8 \text{ students}) + (2 \text{ hours} \times 6 \text{ students}) + (3 \text{ hours} \times 4 \text{ students}) + (4 \text{ hours} \times 2 \text{ students}) + (5 \text{ hours} \times 1 \text{ student}) \]
Calculating each term:
- \(1 \times 8 = 8\)
- \(2 \times 6 = 12\)
- \(3 \times 4 = 12\)
- \(4 \times 2 = 8\)
- \(5 \times 1 = 5\)
Now, adding those contributions together:
\[ \text{Total hours} = 8 + 12 + 12 + 8 + 5 = 45 \text{ hours} \]
Next, we calculate the total number of students:
\[ \text{Total students} = 8 + 6 + 4 + 2 + 1 = 21 \text{ students} \]
Now, we find the mean number of hours spent:
\[ \text{Mean} = \frac{\text{Total hours}}{\text{Total students}} = \frac{45 \text{ hours}}{21 \text{ students}} \approx 2.14 \]
Thus, the mean number of hours students spent on math homework is 2.14 hours.
The correct response is:
2.14 hours