Answer
Variance is $\frac{56}{5}$
Standard deviation is 3.61
Work Step by Step
Step 1
First find the mean of the data set which is found by adding up all the numbers and dividing by the number of numbers.
3+1+6+-3+0+5=12
12/6=2
Mean equals 2
Step 2
Variance is found by the equation
$\frac{(s1−M)^2+(s2−M)^2}{N−1}$
Where s is the sample
M is the mean and
N is the number of samples
So the final equation should look like
$\frac{(3−2)^2+(1−2)^2+(6−2)^2+(-3−2)^2+(0−2)^2+(5-2)^2}{6-1}$
Which equals 56/5
56/5 is the variance
Step 3
to find the Standard deviation or Sd
you take the square root of the variance
$\sqrt (56/5)$
Which approximately equals 3.61
The Sd is 3.61