Question

Following is the information of annual salary of 50 people in thousands of $ with a...

Following is the information of annual salary of 50 people in thousands of $ with a mean salary of $148.4 ( thousands of $'s). Find the standard deviation of the grouped data.


Mean Salary ( \large \overrightarrow{x} ) = 148.4   

\small M \overrightarrow{x} \small M-\overrightarrow{x} \small \left(M-\overrightarrow{x}\right)^2 \small f \small \left(M-\overrightarrow{x}\right)^2.f   
125 148.4 2   
135 148.4 5   
145 148.4 25
155 148.4 10
165 148.4 8
∑ f = 50 \large \Sigma\small \left(M-\overrightarrow{x}\right)^2.f =

Standard Deviation = \small \sqrt{\frac{\Sigma\left(M-\overrightarrow{x}\right)^2.f}{n-1}} = ( up to 2 decimal places)

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