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Frequency Distribution of the Scores from a Mathematics Test Is

Question 164

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Frequency distribution of the scores from a mathematics test is given in the table below. Find the sample standard deviation.
   Interval  Midpoint x Frequency f Product xf58.565.5365.572.5572.579.5879.586.5686.593.5393.5100.55\begin{array} { | l | l | l | l | } \hline \text { Interval } & \text { Midpoint } x & \text { Frequency } f & \text { Product } x f \\\hline 58.5 - 65.5 & & 3 & \\\hline 65.5 - 72.5 & & 5 & \\\hline 72.5 - 79.5 & & 8 & \\\hline 79.5 - 86.5 & & 6 & \\\hline 86.5 - 93.5 & & 3 & \\\hline 93.5 - 100.5 & & 5 & \\\hline\end{array}  
Please round your answer to the nearest whole number, if necessary.

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