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The Shipment Times in Hours for a Load of Goods

Question 161

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The shipment times in hours for a load of goods from a factory to market are tabulated in the following frequency distribution. Find the sample standard deviation of shipment time.
   Shipment time (hours)  Midpoint x Frequency f Product xf22.5−27.5527.5−32.53732.5−37.57537.5−42.53142.5−47.51347.5−52.54\begin{array} { | l | l | l | l | } \hline \text { Shipment time (hours) } & \text { Midpoint } x & \text { Frequency } f & \text { Product } x f \\\hline 22.5 - 27.5 & & 5 & \\\hline 27.5 - 32.5 & & 37 & \\\hline 32.5 - 37.5 & & 75 & \\\hline 37.5 - 42.5 & & 31 & \\\hline 42.5 - 47.5 & & 13 & \\\hline 47.5 - 52.5 & & 4 & \\\hline\end{array} Please round your answer to the nearest tenth, if necessary.
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