Answer
Variance 29
Standard Deviation~ 5.39
Work Step by Step
Step 1 find the mean of the data set which is found by adding up all the numbers and dividing by the number of numbers.
-1+5+5+7+14=30
30/5=6
Mean equals 6
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
$\frac{((-1)-6)^{2}+(5-6)^{2}+(5-6)^2+(7-6)^2+(14-6)^2}{5-1}$
Which equals 29
29 is the variance
Step 3 to find the Standard deviation or Sd
you take the square root of the variance
$\sqrt 29$
Which approximately equals 5.39
The Sd is 5.39
