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$2$. ($18$ points) A math class of $30$ students took a $50$ points quiz and the following scores were recorded.$\newline$$$\begin{array}{l} 14,18,21,21,25,25,26,26,27,28 \\ 32,32,32,35,36,37,37,39,41,45 \\ 47,48,48,48,48,49,49,50,50,50 \end{array}$$$\newline$Calculate the mean quiz score and the standard deviation for this quiz by first completing the table. Do not round until the final answer. Round your final answer to the nearest hundredth if necessary.$\newline$\begin{tabular}{|l|l|l|l|l|l|}$\newline$\hline \begin{tabular}{l} $\newline$Quiz \\$\newline$Scores$\newline$\end{tabular} & Frequency & $x \cdot f$ & $x-\bar{x}$ & $(x-\bar{x})^{2}$ & $(x-\bar{x})^{2} \cdot f$ \\$\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$\end{tabular}$\newline$$$\bar{x}=$$