Find the standard deviation for the following data :

Explanation

In the given data,

`f_i x_i = 21,80,195, 180, 138`

`f_i x_i^2 = 63, 640, 2535, 3240, 3174`

Now, standard deviation is given by,

`sigma = 1/N sqrt(Nsumf_i x_i^2 -(sum f_i x_i)^2 )`

Here, `N = sum f_i = 48`

`sum f_i x_i = 614`

`sumf_i x_i^2 = 9652`

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