To determine the median weight of the nine football players, follow these steps:
1. List the Weights: Start by writing down the weights provided in the table:
[tex]\[226, 183, 195, 274, 200, 258, 195, 237, 212 \][/tex]
2. Arrange the Weights in Ascending Order: The next step is to sort these weights from smallest to largest:
[tex]\[183, 195, 195, 200, 212, 226, 237, 258, 274 \][/tex]
3. Count the Number of Data Points: There are nine weights in total. Since the number of weights (n = 9) is odd, the median will be the middle number in this ordered list.
4. Locate the Median: The median is the middle value of the sorted list. Since we have nine data points (an odd number), the median is the number located at the position [tex]$(n + 1) / 2$[/tex]. Here, [tex]\((9 + 1) / 2 = 5\)[/tex], which means the median is the 5th value in our sorted list.
5. Identify the Median: Look at the sorted list:
[tex]\[183, 195, 195, 200, 212, 226, 237, 258, 274 \][/tex]
The 5th value is [tex]\(212\)[/tex].
Therefore, the median weight of the nine football players is [tex]\(\boxed{212}\)[/tex].
