The median of the following distribution is: 7, 9, 5, 3, 10, 15, 21, 19, 17 ans. 9 10 17 15

Break Down the Problem

1. To find the median, we need to organize the data in increasing order.
2. The median is determined by finding the middle value in the ordered list.

Relevant Concepts

1. The median is the middle number in a sorted list of numbers. If the list has an odd number of entries, the median is the middle entry. If the list has an even number of entries, the median is the average of the two middle numbers.

Analysis and Detail

1. Organizing the Data: The given values are: $7, 9, 5, 3, 10, 15, 21, 19, 17$

   When we sort these values in increasing order, we get: $3, 5, 7, 9, 10, 15, 17, 19, 21$

2. Finding the Median: Since there are 9 numbers in the sorted list (an odd count), the median is the middle number:

   • The middle number can be found at position $\frac{n + 1}{2}$ where $n$ is the number of data points. Here, $\frac{9 + 1}{2} = 5$ Hence, the median is the 5th number in the ordered list, which is $10$.

Verify and Summarize

1. The sorted list confirms that the numbers are correct and their order is as follows: $3, 5, 7, 9, \textbf{10}, 15, 17, 19, 21$
2. The calculated median is indeed $10$.

Final Answer

The median of the distribution is $10$.