Find the variance and standard deviation for the following distribution: X:, 4.5, 14.5, 24.5, 34.5, 44.5, 54.5, 64.5 `f:` , 1, 5, 12, 22, 17, 9, 4

Explanation

We have given,

`\begin{matrix}
x:&4.5 &14.5&24.5 &34.5 &44.5 &54.5 &64.5\\
f: &1& 5& 12& 22& 17& 9& 4
\end{matrix}

As the total number of x are 7 which is odd so by formula of median for odd we have `(((n+1)/2)^(th))=(((7+1)/2)^(th))=(4)^(th)`term we have

Median value of x is 34.5

`\begin{matrix}
...