Find the standard deviation for the following data:
(i) `x : 3,8, 13, 18, 23`
`f: , 7, 10, 15, 10, 6`
(ii) `x : 1, 2, 3, 4, 5, 6, 7`
`f: 4, 9, 16, 14, 11, 6, 6`

Explanation

Now, `\N=48`
`\Var(\(X)=\frac{\sum\left(\x}_{1}-\overline{\X}\right)^{2} \f}{\sum \f}_{\i}

` `\Var(\X)=\frac{1797.32}{48}` `\Variance=37.44`
StandardDeviation, `\sigma=\sqrt{37.44}`
``
=6.12
``
`\therefore` The standard deviation is `6.12`