a) The mean can be calculated by adding all values and then divide by the total number of values:
[tex]\text{Mean}=\frac{3+1+0+0+6}{5}=2[/tex]
b) The median is the middle value in the list of numbers, then you have to order the numbers as follows: 0, 0, 1, 3, 6.
[tex]\text{Median}=\text{ 1}[/tex]
c) The mode is the value that occurs most often, as you have a 0 value twice, then
[tex]\text{Mode}=\text{ 0}[/tex]
d) To calculate the sample variance you can use this formula
[tex]\begin{gathered} s^2=\frac{\sum^{}_{}(x-\bar{x})^2}{n-1}\text{ where x is each value, }\bar{x}\text{ is the mean, and n the number of values} \\ s^2=\frac{(0-2)^2+(0-2)^2+(1-2)^2+(3-2)^2+(6-2)^2}{5-1} \\ s^2=\frac{(-2)^2+(-2)^2+(-1)^2+(1)^2+(4)^2}{4} \\ s^2=\frac{4+4+1+1+16}{4} \\ s^2=\frac{26}{4}=6.5 \end{gathered}[/tex]
The sample standard deviation is the square root of sample variance, then
[tex]\begin{gathered} s=\sqrt[]{s^2}=\sqrt[]{6.5} \\ s=2.55 \end{gathered}[/tex]
