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.