Question

What is the median of the following numbers?
​
​ 3,\ 10,\ 7,\ 8,\ 9,\ 2,\ 73, 10, 7, 8, 9, 2, 7
​

Answer 1

To find the median of the given numbers, we first need to sort them in ascending order. The numbers provided are:

3, 10, 7, 8, 9, 2, 73, 10, 7, 8, 9, 2, 7

Sorting these numbers gives us:

2, 2, 3, 7, 7, 7, 8, 8, 9, 9, 10, 10, 73

Next, we find the median. The median is the middle number in a sorted list. Since there are 13 numbers (an odd count), the median will be the number in position \( \frac{n + 1}{2} \), where \( n \) is the total number of values.

Calculating the position for the median:
\[
\frac{13 + 1}{2} = \frac{14}{2} = 7
\]

Now, we count to the 7th number in our sorted list:
1. 2
2. 2
3. 3
4. 7
5. 7
6. 7
7. **8**

So the median of the given numbers is **8**.