Question

The data shows the total number of employee medical leave days taken for on-the-job accidents in the first six months of the year 14, 7. 20, 8, 21, 14. Find the standard deviation The standard deviation is about (Type an integer or decimal rounded to the nearest hundredth as needed)

Answer 1

Given the following question:

14, 7, 20, 8, 21, 14

`\begin{gathered} =\sqrt[]{(1)/(n)\sum^n_(i\mathop=1)}(xi-s)^2_{} \\ \Sigma(xi-\mu)2=(\Sigma(xi-\mu)2)/(n) \\ (\mleft(14-14\mright)2+\ldots+14-142)/(2) \\ 14^2=14*14=196 \\ (196+\cdots+196)/(2)=(170)/(6) \\ (170)/(6)=170/6=\sqrt[]{28.333333333333} \\ =\sqrt[]{28.333333333333}=5.3229064742238 \\ 5.3229064742238*5.3229064742238=28.333 \\ 5.3229064742238 \\ 2<5 \\ SD=5.32 \end{gathered}`