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From the Following Grouped Data, Find the Sample Standard Deviation

Question 157

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From the following grouped data, find the sample standard deviation.
   Interval  Midpoint x Frequency f Product xf42.5−51.51251.5−60.51560.5−69.51869.5−78.52778.5−87.5687.5−96.53\begin{array} { | l | l | l | l | } \hline \text { Interval } & \text { Midpoint } x & \text { Frequency } f & \text { Product } x f \\\hline 42.5 - 51.5 & & 12 & \\\hline 51.5 - 60.5 & & 15 & \\\hline 60.5 - 69.5 & & 18 & \\\hline 69.5 - 78.5 & & 27 & \\\hline 78.5 - 87.5 & & 6 & \\\hline 87.5 - 96.5 & & 3 & \\\hline\end{array}  
Please round your answer to the nearest whole number, if necessary.

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