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The Following Data Represent the Ages (In Years) of a Sample

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The following data represent the ages (in years) of a sample of 25 employees from a government
department: 31435623494233614428483844354064524247395327363520\begin{array} { | l | l | l | l | r | r | r | r | r | r | } \hline 31 & 43 & 56 & 23 & 49 & 42 & 33 & 61 & 44 & 28 \\\hline 48 & 38 & 44 & 35 & 40 & 64 & 52 & 42 & 47 & 39 \\\hline 53 & 27 & 36 & 35 & 20 & & & & & \\\hline\end{array} The frequency distribution for the data, using five class intervals and the value 20 as the lower limit of the first class is given below.  Class Limits  Frequency 20 up to 30430 up to 40740 up to 50950 up to 60360 up to 702 Total 25\begin{array} { c c } \hline \text { Class Limits } & \text { Frequency } \\\hline 20 \text { up to } 30 & 4 \\30 \text { up to } 40 & 7 \\40 \text { up to } 50 & 9 \\50 \text { up to } 60 & 3 \\60 \text { up to } 70 & 2 \\\text { Total } & 25 \\\hline\end{array} Find the mean of the grouped data.

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