## Algebra 2 (1st Edition)

The range is the difference between the largest and the smallest data value. The standard deviation of $x_1,x_2,...,x_n$ is (where $\overline{x}$ is the mean of the data values): $\sqrt{\frac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+...+(x_n-\overline{x})^2}{n}}$. Hence here the range is: $15-2=13$ and the standard deviation is: $\sqrt{\frac{(2-7.4)^2+(3-7.4)^2+...+(15-7.4)^2}{10}}\approx4.0056$