Solution
We are given the following data for various wild large cats
[tex]65,50,35,50,45,25,40,40,20[/tex]
here, n = 9
Note: Standard deviation Formula
The x - bar denotes the mean
First, we find the mean
[tex]\begin{gathered} \bar{x}=\frac{65+50+35+50+45+25+40+40+20}{9} \\ \bar{x}=\frac{370}{9} \end{gathered}[/tex]
Now we will do x - mean, we have the answers as follows
[tex]\frac{215}{9},\frac{80}{9},-\frac{55}{9},\frac{80}{9},\frac{35}{9},-\frac{145}{9},-\frac{10}{9},-\frac{10}{9},-\frac{190}{9}[/tex]
We will find their squares
[tex]\begin{gathered} Standard\text{ }Deviation\sqrt{\frac{(\frac{215}{9})^2+2(\frac{80}{9})^2+(\frac{55}{9})^2+(\frac{35}{9})^2+(\frac{145}{9})^2+2(\frac{10}{9})^2+(\frac{190}{9})^2}{9}} \\ \\ Standard\text{ }Deviation= \\ \end{gathered}[/tex]
