We will determine the standard deviation as follows:
*First we have to remember the expression:
[tex]\sigma=\sqrt[]{\frac{1}{N}\sum ^N_{i=1}(x_i-\mu)^2}[/tex]
Now, we determine the count (N), this is N = 7 [Since there are 7 vvalues on the dataset].
Second: We calculate the sum:
[tex]\sum ^7_{i=1}(x_i-\mu)^2[/tex]
Bu for this, we will determine the mean (miu), and:
[tex]\mu=2092.8571428571[/tex]
Thus:
[tex].[/tex][tex]\sigma=\sqrt[]{8163.2653061224}\Rightarrow\sigma=90.350790290525[/tex]
So, the standard deviation is aproximately 90.
