Use the table to answer the question.

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 7.
The balancing point is 7.

The balancing point is 5.
The balancing point is 5.

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

The balancing point is 1.

Answer 1

To create a dot plot for the data provided in the table, we will represent the number of hours worked per week by the number of students. Each "dot" will represent one student.

Here’s the dot plot based on the data:

Hours Per Week:
3: • • • • • • •
4: • • • •
5: •
6: • • • •
7: • • • • • • •

Now, let's calculate the mean (average) number of hours students work per week to find the balancing point.

1. Multiply each number of hours by the number of students:

   • (3 hours * 7 students) = 21
   • (4 hours * 4 students) = 16
   • (5 hours * 1 student) = 5
   • (6 hours * 4 students) = 24
   • (7 hours * 7 students) = 49

2. Sum these products:

   • Total = 21 + 16 + 5 + 24 + 49 = 115

3. Sum the total number of students:

   • Total Students = 7 + 4 + 1 + 4 + 7 = 23

4. Calculate the mean:

   • Mean = Total of hours worked / Total number of students = 115 / 23 ≈ 5

Now, we can identify the correct response regarding the balancing point:

The balancing point is 5.