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Answer :
- Add all the numbers: $10 + 39 + 71 + 42 + 39 + 76 + 38 + 25 = 340$.
- Count the total number of values: There are 8 numbers.
- Divide the sum by the count to find the mean: $\frac{340}{8} = 42.5$.
- The mean of the numbers is $\boxed{42.5}$.
### Explanation
1. Understanding the Problem
We are asked to find the mean of the numbers 10, 39, 71, 42, 39, 76, 38, and 25. The mean is the average of these numbers, which we find by adding them up and dividing by the total count of numbers.
2. Calculating the Sum
First, let's calculate the sum of the numbers: $10 + 39 + 71 + 42 + 39 + 76 + 38 + 25 = 340$.
3. Counting the Numbers
Next, we count how many numbers are in the list. There are 8 numbers.
4. Finding the Mean
Now, we divide the sum by the number of values to find the mean: $\frac{340}{8} = 42.5$.
5. Final Answer
Therefore, the mean of the numbers is 42.5.
### Examples
The concept of the mean is used in many real-life situations. For example, if you want to know the average test score of your class, you would calculate the mean of all the test scores. Similarly, if you want to know the average height of students in a school, you would calculate the mean of all the students' heights. Understanding how to calculate the mean helps in analyzing data and making informed decisions.
- Count the total number of values: There are 8 numbers.
- Divide the sum by the count to find the mean: $\frac{340}{8} = 42.5$.
- The mean of the numbers is $\boxed{42.5}$.
### Explanation
1. Understanding the Problem
We are asked to find the mean of the numbers 10, 39, 71, 42, 39, 76, 38, and 25. The mean is the average of these numbers, which we find by adding them up and dividing by the total count of numbers.
2. Calculating the Sum
First, let's calculate the sum of the numbers: $10 + 39 + 71 + 42 + 39 + 76 + 38 + 25 = 340$.
3. Counting the Numbers
Next, we count how many numbers are in the list. There are 8 numbers.
4. Finding the Mean
Now, we divide the sum by the number of values to find the mean: $\frac{340}{8} = 42.5$.
5. Final Answer
Therefore, the mean of the numbers is 42.5.
### Examples
The concept of the mean is used in many real-life situations. For example, if you want to know the average test score of your class, you would calculate the mean of all the test scores. Similarly, if you want to know the average height of students in a school, you would calculate the mean of all the students' heights. Understanding how to calculate the mean helps in analyzing data and making informed decisions.
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