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.
1 answer