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45 votes
45 votes
All 6 members of a family work. Their hourly wages (in dollars) are the following26, 7, 23, 15, 29, 24Send data to calculatorAssuming that these wages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.(If necessary, consult a list of formulas.)0

User VahidNaderi
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1 Answer

26 votes
26 votes

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

User Alexa Elis
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