1 Answer

Alexa Elis · Answer 1 · 2023-01-25T02:59:02+0000

Then To determine the standard deviation we first need the mean; the mean is given by:

$\mu=(1)/(n)\sum_{i\mathop{=}1}^nx_i$

Then we have:

$\mu=(1)/(6)(26+7+23+15+29+24)=(124)/(6)=20.67$

Now that we have the mean we can calculate the standard deviation which is given by:

$\sigma=\sqrt{(1)/(n)\sum_{i\mathop{=}1}^n(x_i-\mu)^2}$

Then we have:

$\begin{gathered} \sigma=\sqrt{((26-20.67)^2+(7-20.67)^2+(23-20.67)^2+(15-20.67)^2+(29-20.67)^2+(24-20.67)^2)/(6)} \\ \sigma=7.45 \end{gathered}$

Therefore, the standard deviation is 7.45

Your comment on this question: