To find the mean number of siblings for the 6th graders surveyed by Kaylen, we need to multiply the number of siblings by the number of 6th graders with that number of siblings and then sum those products. Finally, we divide the total by the number of 6th graders surveyed.
Here's the data from the table:
- 0 siblings: 3 students
- 1 sibling: 12 students
- 2 siblings: 5 students
- 3 siblings: 2 students
- 4 siblings: 0 students
- 5 siblings: 1 student
Next, we compute the total number of siblings for each group:
- For 0 siblings: \(0 \times 3 = 0\)
- For 1 sibling: \(1 \times 12 = 12\)
- For 2 siblings: \(2 \times 5 = 10\)
- For 3 siblings: \(3 \times 2 = 6\)
- For 4 siblings: \(4 \times 0 = 0\)
- For 5 siblings: \(5 \times 1 = 5\)
Now we sum these results:
\[ 0 + 12 + 10 + 6 + 0 + 5 = 33 \]
Next, we calculate the total number of 6th graders surveyed:
\[ 3 + 12 + 5 + 2 + 0 + 1 = 23 \]
Finally, we calculate the mean number of siblings:
\[ \text{Mean} = \frac{\text{Total Number of Siblings}}{\text{Total Number of Students}} = \frac{33}{23} \approx 1.4347826087 \]
Rounding this to the nearest hundredth gives:
\[ \text{Mean} \approx 1.43 \]
Thus, the mean number of siblings for the 6th graders that Kaylen surveyed is 1.43 siblings.