Question

Number of Hours Students Work Per Week
Hours Per Week Number of Students
3 7
4 4
5 1
6 4
7 7
Create a dot plot for the data in the table. Use the mean to find the balancing point of the dataset.

(1 point)
Responses

The balancing point is 1.
The balancing point is 1.

The balancing point is 7.
The balancing point is 7.

The balancing point is 4.
The balancing point is 4.

The balancing point is 5.

Answer 1

To create a dot plot for the given data and find the mean (balancing point), we will first summarize the data as follows:

- For 3 hours: 7 students
- For 4 hours: 4 students
- For 5 hours: 1 student
- For 6 hours: 4 students
- For 7 hours: 7 students

### Step 1: Create the Dot Plot
Here's how the dot plot would look:

```
3: • • • • • • •
4: • • • •
5: •
6: • • • •
7: • • • • • • •
```

### Step 2: Calculate the Mean

To find the mean, we first calculate the total number of hours worked by all students.

- Total hours contributed by each group:
- 3 hours: 3 * 7 = 21 hours
- 4 hours: 4 * 4 = 16 hours
- 5 hours: 5 * 1 = 5 hours
- 6 hours: 6 * 4 = 24 hours
- 7 hours: 7 * 7 = 49 hours

Now, sum these values:

\[
21 + 16 + 5 + 24 + 49 = 115 \text{ total hours}
\]

Next, calculate the total number of students:

\[
7 + 4 + 1 + 4 + 7 = 23 \text{ students}
\]

Now, find the mean (or balancing point):

\[
\text{Mean} = \frac{\text{Total Hours}}{\text{Total Students}} = \frac{115}{23} \approx 5
\]

### Conclusion

The balancing point of the dataset is **5**.

So, the correct choice is:
- **The balancing point is 5.**