Answer
See below.
Work Step by Step
The mean of $n$ numbers is the sum of the numbers divided by $n$. The median of $n$ is the middle number of the numbers when they are in order (and the mean of the middle $2$ numbers if $n$ is even). The mode of $n$ numbers is the number or numbers that appear(s) most frequently. Hence here the mean: $\frac{145+ 150+ 158+159+163+172+181}{7}=161.14$, the median is the middle item in the sequence $145, 150, 158,159,163,172,181, $, which is: $159$, there is no mode. 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: $181-145=36$ and the standard deviation is: $\sqrt{\frac{(145-161.14)^2+(150-161.14)^2+...+(181-161.14)^2}{7}}\approx11.432$
