Use the table to answer the question.
Number of pairs of shoes: 2, 3, 4, 5, 6, 7, 8, 10
Number of 6th greaders: 5, 6, 1, 1, 4, 7, 2, 1
Michael wants to know how many pairs of shoes 6th graders own. He surveys the 6th graders at his summer camp. His results are given in the table. What is the median number of pairs of shoes owned by the 6th graders he surveyed?
The median number of pairs of shoes owned by the 6th graders Michael surveyed is ----- pairs of shoes.
There are a total of 28 students surveyed.
Arranging the number of pairs of shoes in increasing order:
2, 3, 4, 5, 6, 7, 8, 10
Arranging the number of 6th graders in order:
1, 1, 1, 2, 4, 5, 6, 7
The median is the middle value when the data is arranged in order, so the median number of pairs of shoes owned by the 6th graders Michael surveyed is 5 pairs of shoes.
To find the median number of pairs of shoes owned by the 6th graders surveyed by Michael at the summer camp, we will use the data provided in the table:
Number of pairs of shoes: 2, 3, 4, 5, 6, 7, 8, 10
Number of 6th graders: 5, 6, 1, 1, 4, 7, 2, 1
1. Arrange the data in ascending order based on the number of pairs of shoes owned:
2, 3, 4, 5, 6, 7, 8, 10
2. Count the total number of 6th graders surveyed (5 + 6 + 1 + 1 + 4 + 7 + 2 + 1 = 27) to determine the middle value for finding the median.
3. Since we have 27 data points (an odd number), the median is the middle value when the data is arranged in ascending order.
- The 14th value in the ordered list is the median.
4. The 14th value corresponds to 6 pairs of shoes, which is the median number of pairs of shoes owned by the 6th graders surveyed by Michael.
Therefore, the median number of pairs of shoes owned by the 6th graders Michael surveyed is 6 pairs of shoes.