The mean score of 65 students is 65. Find the sum of the scores of the students.

The mean score of a group of students is calculated as the sum of their scores divided by the number of students. The formula for the mean is:

\[
\text{Mean} = \frac{\text{Sum of scores}}{\text{Number of students}}
\]

In this case:
- The mean score is 65.
- The number of students is 65.

Now, we can rearrange the formula to solve for the sum of the scores:

\[
\text{Sum of scores} = \text{Mean} \times \text{Number of students}
\]

Substituting the given values:

\[
\text{Sum of scores} = 65 \times 65 = 4225
\]

Thus, the sum of the scores of the students is **4225**.

Would you like more details on this, or do you have any questions?

Here are five related questions:
1. If the mean score had been 70, what would the sum of the scores be?
2. How does the mean change if one student’s score increases by 5 points?
3. What is the difference between median and mean in a data set?
4. How would the sum of the scores change if there were 5 more students with the same average score?
5. Can the mean of a data set be less than any individual score?

**Tip:** To calculate a mean effectively, always ensure the sum of all items and the number of items are both known.

Learn how to find the sum of the scores for 65 students given that their mean score is 65. This problem demonstrates the use of basic arithmetic and mean calculations, suitable for Grades 6-8. Includes detailed step-by-step explanation.

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