Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell​ us?
38    65    94    1    78    59    16    54    17    56    77
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Part 1
a. Find the mean.
The mean is

50.5.
​(Type an integer or a decimal rounded to one decimal place as​ needed.)
Part 2
b. Find the median.
The median is

enter your response here.
​(Type an integer or a decimal rounded to one decimal place as​ needed.)

Let's go step by step to find the median of the listed jersey numbers:

### List of Jersey Numbers:
38, 65, 94, 1, 78, 59, 16, 54, 17, 56, 77

#### Step 1: Arrange the numbers in ascending order.
1, 16, 17, 38, 54, 56, 59, 65, 77, 78, 94

#### Step 2: Find the middle number(s).
Since there are 11 numbers in the list, which is an odd number, the median is the 6th number in the sorted list.

#### Sorted list with positions:
1, 16, 17, 38, 54, **56**, 59, 65, 77, 78, 94

The 6th number is **56**, so the median is:

\[
\boxed{56}
\]

Would you like further details, or do you have any questions?

Here are 5 relative questions to explore:
1. How would the median change if there were an even number of jersey numbers?
2. Can the median ever be smaller than the mean in a dataset?
3. What is the range of these jersey numbers?
4. What is the mode, and how does it compare to the mean and median?
5. How does an outlier affect the mean and median?

**Tip:** The median is not affected by outliers as much as the mean is, which makes it a better measure of central tendency for skewed data.

Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell us? 38, 65, 94, 1, 78, 59, 16, 54, 17, 56, 77. Part 1: a. Find the mean. Part 2: b. Find the median.

Learn how to calculate the mean and median of 11 jersey numbers selected from a sports team's roster. This problem demonstrates important statistical concepts like mean and median, and shows how to organize and compute data for central tendency. Suitable for students in Grades 6-8.

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