To find the sum of the scores of 65 students, we use the formula for the mean:

$\text{Mean} = \frac{\text{Sum of Scores}}{\text{Number of Students}}$

In this case:

• Mean = 65
• Number of students = 65

So, substituting into the formula:

$65 = \frac{\text{Sum of Scores}}{65}$

Multiplying both sides by 65:

$\text{Sum of Scores} = 65 \times 65 = 4225$

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

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. If one more student with a score of 70 joins the group, what is the new mean score?
2. If the sum of the scores was 4300, how many students were there?
3. How would the mean change if a student with a score of 50 left the group?
4. If the scores of 10 students were exactly 70, what is the sum of the scores of the remaining 55 students?
5. What is the average score if the sum of the scores of 65 students is 5000?

Tip: When calculating averages, always remember that the sum of the individual values is simply the mean multiplied by the number of items.