Question

e the table to answer the question.

Number of Pets Owned by Algebra Students
Number of Pets Number of Students
0 6
1 4
2 1
3 4
4 6
Create a dot plot for the given data, and then use the mean to find the balancing point of the data.

(1 point)
The balancing point of the data is
.
Remaining Attempts : 3

Answer 1

To create a dot plot for the given data and find the mean (balancing point), follow these steps:

### Step 1: Create the Dot Plot

The data provided:
- 0 pets: 6 students
- 1 pet: 4 students
- 2 pets: 1 student
- 3 pets: 4 students
- 4 pets: 6 students

**Dot Plot:**
```
0: • • • • • •
1: • • • •
2: •
3: • • • •
4: • • • • • •
```

### Step 2: Calculate the Mean

To find the mean, we will use the formula for the mean:
\[
\text{Mean} = \frac{\text{Total of all data points}}{\text{Total number of data points}}
\]

**Total of all data points:**
- For 0 pets: \(0 \times 6 = 0\)
- For 1 pet: \(1 \times 4 = 4\)
- For 2 pets: \(2 \times 1 = 2\)
- For 3 pets: \(3 \times 4 = 12\)
- For 4 pets: \(4 \times 6 = 24\)

Now sum these products:
\[
0 + 4 + 2 + 12 + 24 = 42
\]

**Total number of data points (students):**
\[
6 + 4 + 1 + 4 + 6 = 21
\]

### Step 3: Calculate the Mean
Now substitute into the formula:
\[
\text{Mean} = \frac{42}{21} = 2
\]

### Conclusion
The balancing point of the data is **2**.