We are asked to find the range of the following data
{5, 12, 15, 11, 15, 7, 15, 10, 13}
First, we need to sort the data in ascending order (least to greatest)
{5, 7, 10, 11, 12, 13, 15, 15, 15}
The range is given by
![Range=\max -\min](https://img.qammunity.org/2023/formulas/mathematics/college/74g7eoc9zuk6uqs43wirslmu67i689l0lv.png)
The maximum value in the data set is 15
The minimum value in the data set is 5
So, the range is
![\begin{gathered} Range=\max -\min \\ Range=15-5 \\ Range=10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/uxtd3g1qq9d02e4d6bb0s746t45b90y30h.png)
Therefore, the range of the given data set is 10