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 is: $\frac{35+36+36+38+41+42+45+48}{8}=40.125$. The median is the mean of the middle items in the sequence $35,36,36,38,41,42,45,48$, which is: $(38+41)/2=39.5$. The mode is $36$.
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: $92-75=17$ and the standard deviation is: $\sqrt{\frac{(35-40.125)^2+(36-40.125)^2+...+(48-40.125)^2}{8}}\approx4.399$