To find the median number of siblings from the data Kaylen collected, we should first list out the number of siblings for each 6th grader according to the survey results. The table provided indicates the following numbers of 6th graders based on their number of siblings:
- 0 siblings: 3 students
- 1 sibling: 12 students
- 2 siblings: 5 students
- 3 siblings: 2 students
- 4 siblings: 0 students
- 5 siblings: 2 students
Now, we can convert these results into a full list of sibling counts:
- 0, 0, 0 (3 students with 0 siblings)
- 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (12 students with 1 sibling)
- 2, 2, 2, 2, 2 (5 students with 2 siblings)
- 3, 3 (2 students with 3 siblings)
- 5, 5 (2 students with 5 siblings)
Now compiling all the data together, we get:
0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 5, 5
Next, we count the total number of students surveyed:
- 3 (with 0 siblings) + 12 (with 1 sibling) + 5 (with 2 siblings) + 2 (with 3 siblings) + 0 (with 4 siblings) + 2 (with 5 siblings) = 24 students total.
To find the median, we need to find the middle value. Since there are 24 students (an even number), the median is the average of the 12th and 13th values in the ordered list.
Looking at the ordered list:
- The 12th value is 1
- The 13th value is also 1
Now, calculate the median: \[ \text{Median} = \frac{1 + 1}{2} = \frac{2}{2} = 1 \]
Therefore, the median number of siblings for the 6th graders that Kaylen surveyed is 1 sibling.