Answer :
- Arrange the numbers in ascending order: $188, 197, 200, 201$.
- Identify the two middle numbers: $197$ and $200$.
- Calculate the average of the two middle numbers: $\frac{197+200}{2} = 198.5$.
- The median of the set is $\boxed{198.5}$.
### Explanation
1. Understanding the Problem
We are given the set of numbers $188, 201, 200, 197$. Our goal is to find the median of this set. The median is the middle value when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle values.
2. Ordering the Data
First, we need to arrange the numbers in ascending order. The ordered set is $188, 197, 200, 201$.
3. Identifying Middle Numbers
Since there are 4 numbers in the set, which is an even number, the median is the average of the two middle numbers. The two middle numbers are $197$ and $200$.
4. Calculating the Median
Now, we calculate the average of $197$ and $200$:$$\frac{197 + 200}{2} = \frac{397}{2} = 198.5$$Therefore, the median of the set is $198.5$.
5. Final Answer
The median of the set of numbers $188, 201, 200, 197$ is $198.5$.
### Examples
The concept of the median is useful in many real-life situations. For example, if you want to understand the typical income of people in a neighborhood, the median income is a better measure than the average income because it is not affected by extremely high or low incomes. Similarly, in sports, the median score of a player over several games can give a more stable picture of their performance than the average score.
- Identify the two middle numbers: $197$ and $200$.
- Calculate the average of the two middle numbers: $\frac{197+200}{2} = 198.5$.
- The median of the set is $\boxed{198.5}$.
### Explanation
1. Understanding the Problem
We are given the set of numbers $188, 201, 200, 197$. Our goal is to find the median of this set. The median is the middle value when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle values.
2. Ordering the Data
First, we need to arrange the numbers in ascending order. The ordered set is $188, 197, 200, 201$.
3. Identifying Middle Numbers
Since there are 4 numbers in the set, which is an even number, the median is the average of the two middle numbers. The two middle numbers are $197$ and $200$.
4. Calculating the Median
Now, we calculate the average of $197$ and $200$:$$\frac{197 + 200}{2} = \frac{397}{2} = 198.5$$Therefore, the median of the set is $198.5$.
5. Final Answer
The median of the set of numbers $188, 201, 200, 197$ is $198.5$.
### Examples
The concept of the median is useful in many real-life situations. For example, if you want to understand the typical income of people in a neighborhood, the median income is a better measure than the average income because it is not affected by extremely high or low incomes. Similarly, in sports, the median score of a player over several games can give a more stable picture of their performance than the average score.
