Question

Question
Use the image to answer the question.

A bar graph shows the number of hours spent on math homework versus the number of students. The horizontal axis shows the time in hours ranging from 1 to 5 in increments of 1. The vertical axis shows the number of students ranging from 0 to 10 in increments of 1. The data with time in hours, followed by the number of students is as follows: 1 to 8, 2 to 6, 3 to 4, 4 to 2, and 5 to 1.

The graph shows the number of hours randomly selected students spent on math homework. What is the mean number of hours students spent on math homework?

(1 point)
Responses

9 hours
9 hours

1.4 hours
1.4 hours

2.14 hours
2.14 hours

1 hour

Answer 1

To calculate the mean number of hours spent on math homework, we need to consider the number of hours along with the number of students who spent that time. We can find the mean by using the formula:

\[
\text{Mean} = \frac{\sum (\text{Hours} \times \text{Number of Students})}{\text{Total Number of Students}}
\]

From the data provided:

- For 1 hour: 8 students
- For 2 hours: 6 students
- For 3 hours: 4 students
- For 4 hours: 2 students
- For 5 hours: 1 student

Now, we can calculate the total hours spent by multiplying the number of hours by the number of students for each category:

1. \(1 \text{ hour} \times 8 \text{ students} = 8\)
2. \(2 \text{ hours} \times 6 \text{ students} = 12\)
3. \(3 \text{ hours} \times 4 \text{ students} = 12\)
4. \(4 \text{ hours} \times 2 \text{ students} = 8\)
5. \(5 \text{ hours} \times 1 \text{ student} = 5\)

Now, we sum these values:

\[
8 + 12 + 12 + 8 + 5 = 45
\]

Next, we calculate the total number of students:

\[
8 + 6 + 4 + 2 + 1 = 21
\]

Now we can calculate the mean:

\[
\text{Mean} = \frac{45}{21} \approx 2.14
\]

Thus, the mean number of hours students spent on math homework is approximately \(2.14\) hours.

**The correct response is: 2.14 hours.**