Find out standard deviation of the following data:

Explanation

Calculation of Standard Deviation `(sigma)` in Discrete Series
(short-cut method)

`sigma=sqrt((sumdx^(2))/(N)-((sumdx)/(N))^(2))`
`=sqrt((435)/(100)-((-25)/(10))^(2))=sqrt((435)/(100)-((-1)/(4))^(2))`
`=sqrt((435)/(100)-(1)/(16))=sqrt(4.29)=2.07`
Standard Deviation `(sigma)`=2.07.