Interpret measures of center and variability

22. (1818 points) A math class of 3030 students took a 5050 points quiz and the following scores were recorded.\newline14,18,21,21,25,25,26,26,27,2832,32,32,35,36,37,37,39,41,4547,48,48,48,48,49,49,50,50,50 \begin{array}{l} 14,18,21,21,25,25,26,26,27,28 \\ 32,32,32,35,36,37,37,39,41,45 \\ 47,48,48,48,48,49,49,50,50,50 \end{array} \newlineCalculate the mean quiz score and the standard deviation for this quiz by first completing the table. Do not round until the final answer. Round your final answer to the nearest hundredth if necessary.\newline\begin{tabular}{|l|l|l|l|l|l|}\newline\hline \begin{tabular}{l} \newlineQuiz \\\newlineScores\newline\end{tabular} & Frequency & xf x \cdot f & xxˉ x-\bar{x} & (xxˉ)2 (x-\bar{x})^{2} & (xxˉ)2f (x-\bar{x})^{2} \cdot f \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline & & & & & \\\newline\hline\newline\end{tabular}\newlinexˉ= \bar{x}=
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