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a. Explain the following terms$\newline$i. Mean$\newline$ii. Median$\newline$iii. Mode$\newline$iv. Standard Deviation$\newline$b. The data below shows the marks scored by $40$ students in a class.$\newline$\begin{tabular}{lllll}$\newline$$15$ & $12$ & $15$ & $22$ & $28$ \\$\newline$$30$ & $19$ & $25$ & $24$ & $28$ \\$\newline$$10$ & $15$ & $16$ & $20$ & $26$ \\$\newline$$22$ & $18$ & $20$ & $27$ & $14$$\newline$\end{tabular}$\newline$$70$ | Pag e$\newline$\begin{tabular}{lllll}$\newline$$12$ & $19$ & $21$ & $18$ & $19$ \\$\newline$$30$ & $13$ & $10$ & $21$ & $24$ \\$\newline$$15$ & $20$ & $22$ & $18$ & $20$ \\$\newline$$12$ & $23$ & $29$ & $22$ & $24$$\newline$\end{tabular}$\newline$i. Convert this data into a grouped frequency distribution using class intervals $10-14,15-$ $19$ , etc.$\newline$ii. Use your table to compute each of the following:$\newline$i. Mean$\newline$ii. Median$\newline$iii. Mode$\newline$iv. Standard Deviation