Answer :
- Sort the numbers in ascending order: 195, 200, 226, 230.
- Identify the two middle numbers: 200 and 226.
- Calculate the average of the two middle numbers: $\frac{200 + 226}{2} = 213$.
- The median is $\boxed{213}$.
### Explanation
1. Understanding the Median
We are given the numbers 195, 230, 200, and 226, and we need to find their median. The median is the middle value in a sorted list of numbers. If there is an even number of values, the median is the average of the two middle numbers.
2. Sorting the Numbers
First, we need to sort the numbers in ascending order. The sorted list is: 195, 200, 226, 230.
3. Identifying the Middle Numbers
Since there are 4 numbers (an even number), the median is the average of the two middle numbers. The two middle numbers are 200 and 226.
4. Calculating the Average
Now, we calculate the average of 200 and 226: $$\frac{200 + 226}{2} = \frac{426}{2} = 213$$
5. Final Answer
Therefore, the median of the numbers 195, 230, 200, and 226 is 213.
### Examples
The median is a useful measure in real estate. Suppose you want to buy a house in a certain neighborhood. Looking at the median house price gives you a better idea of the 'typical' house price than the average, because the median is not as affected by a few very expensive houses.
- Identify the two middle numbers: 200 and 226.
- Calculate the average of the two middle numbers: $\frac{200 + 226}{2} = 213$.
- The median is $\boxed{213}$.
### Explanation
1. Understanding the Median
We are given the numbers 195, 230, 200, and 226, and we need to find their median. The median is the middle value in a sorted list of numbers. If there is an even number of values, the median is the average of the two middle numbers.
2. Sorting the Numbers
First, we need to sort the numbers in ascending order. The sorted list is: 195, 200, 226, 230.
3. Identifying the Middle Numbers
Since there are 4 numbers (an even number), the median is the average of the two middle numbers. The two middle numbers are 200 and 226.
4. Calculating the Average
Now, we calculate the average of 200 and 226: $$\frac{200 + 226}{2} = \frac{426}{2} = 213$$
5. Final Answer
Therefore, the median of the numbers 195, 230, 200, and 226 is 213.
### Examples
The median is a useful measure in real estate. Suppose you want to buy a house in a certain neighborhood. Looking at the median house price gives you a better idea of the 'typical' house price than the average, because the median is not as affected by a few very expensive houses.
