https://file.aiquickdraw.com/mathbot/file/1726542046039eczc65gt.jpg

The problem asks to find the mean, median, and mode for the given sample of scores:  
\[ 5, 4, 5, 2, 7, 1, 3, 5 \]

### 1. **Mean**:
The mean is the average of the numbers. To find it:
\[
\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Total number of numbers}}
\]
Sum of the scores:
\[
5 + 4 + 5 + 2 + 7 + 1 + 3 + 5 = 32
\]
There are 8 numbers, so the mean is:
\[
\text{Mean} = \frac{32}{8} = 4
\]

### 2. **Median**:
The median is the middle value when the numbers are arranged in ascending order. First, order the numbers:
\[
1, 2, 3, 4, 5, 5, 5, 7
\]
Since there are 8 numbers (an even number), the median is the average of the two middle numbers (the 4th and 5th values):
\[
\text{Median} = \frac{4 + 5}{2} = 4.5
\]

### 3. **Mode**:
The mode is the number that appears most frequently. From the dataset:
\[
1, 2, 3, 4, 5, 5, 5, 7
\]
The number 5 appears 3 times, which is more than any other number, so:
\[
\text{Mode} = 5
\]

### Summary:
- **Mean**: 4
- **Median**: 4.5
- **Mode**: 5

Would you like more details or have any questions? 

Here are some related questions:
1. What happens if there are two modes in a dataset?
2. How do you calculate the mean if one of the values is negative?
3. Can the median be a value that is not in the dataset?
4. How does an outlier affect the mean compared to the median?
5. Is it possible for the mode to not exist in a dataset?

**Tip**: The median is less affected by outliers than the mean, making it a better measure of central tendency for skewed distributions.

Find the mean, median, and mode for the following sample of scores: 5, 4, 5, 2, 7, 1, 3, 5

Learn how to calculate the mean, median, and mode for the dataset {5, 4, 5, 2, 7, 1, 3, 5}. This problem covers essential concepts in statistics for students in Grades 5-7.

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