Lemma
MediumDiscrete distributions
OpenStax, Statistics §4.2 Mean or Expected Value and Standard Deviation · Exercise 3 · Probability · Discrete distributions

Mean or Expected Value and Standard Deviation · Exercise 3

Find the standard deviation.

\begin{array}{|c|c|c|c|}\hline \text{x} & \text{P(x)} & \text{x*P(x)} & \text{(x – μ)^2P(x)} \\ \hline \text{2} & \text{0.1} & \text{2(.1) =.2} & \text{(2–5.4)^2(.1) = 1.156} \\ \hline \text{4} & \text{0.3} & \text{4(.3) = 1.2} & \text{(4–5.4)^2(.3) =.588} \\ \hline \text{6} & \text{0.4} & \text{6(.4) = 2.4} & \text{(6–5.4)^2(.4) =.144} \\ \hline \text{8} & \text{0.2} & \text{8(.2) = 1.6} & \text{(8–5.4)^2(.2) = 1.352} \\ \hline\end{array}

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OpenStax, Statistics · §4.2 Mean or Expected Value and Standard Deviation · Exercise 3

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