To calculate the mean number of hours spent studying, we need to follow these steps:

1. Sum up the hours: Add all the values in the dataset.
2. Divide by the number of students: There are 15 students in the dataset, so divide the sum by 15.

Step 1: Add the values

The given hours are:

$5, 8, 6, 7, 8, 9, 6, 10, 6, 8, 7, 6, 5, 9, 10$

Sum of the hours:

$5 + 8 + 6 + 7 + 8 + 9 + 6 + 10 + 6 + 8 + 7 + 6 + 5 + 9 + 10 = 95$

Step 2: Divide by the number of students (15)

$\text{Mean} = \frac{95}{15} = 6.3$

Final Answer:

The mean number of hours students spent studying is 6.3 hours per week.

Would you like a further explanation of how to calculate the mean or any related concepts? Here are some follow-up questions:

1. What is the median of this dataset?
2. How would you calculate the mode of this dataset?
3. What does the standard deviation of this dataset represent?
4. How can you identify outliers in this dataset?
5. What are some advantages of using the mean over other measures of central tendency?

Tip: Always check for extreme values in the dataset as they can significantly impact the mean.