To determine the mean of the given set of data, follow these steps:
1. List all the numbers: The data set provided is [tex]\(5, 7, 13, 15\)[/tex].
2. Calculate the sum of these numbers:
[tex]\[
5 + 7 + 13 + 15 = 40
\][/tex]
3. Count the number of data points: There are 4 numbers in the data set.
4. Divide the sum by the number of data points to find the mean:
[tex]\[
\text{Mean} = \frac{\text{Sum of data points}}{\text{Number of data points}} = \frac{40}{4} = 10
\][/tex]
Therefore, the mean of the data [tex]\(5, 7, 13, 15\)[/tex] is [tex]\(10\)[/tex].
