Question

2. Given the following data below, \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline Class & \( 1.5-1.9 \) & \( 2.0-2.4 \) & \( 2.5-2.9 \) & \( 3.0-3.4 \) & \( 3.5-3.9 \) & \( 4.0-4.4 \) & \( 4.5-4.9 \) & \( 5.0-5.4 \) & \( 5.5-5.9 \) & \( 6.0-6.4 \) \\ \hline \( \mathrm{f} \) & 1 & 2 & 10 & \( \mathrm{X} \) & 18 & 25 & 9 & 6 & 4 & 3 \\ \hline \end{tabular} If the mean is 3.98 , find (a) the value of \( \mathrm{X} \) (b) median (c) mode (d) \( 25^{\text {th }} \) percentile (e) \( 3^{\text {rd }} \) quartile (f) standard deviation (g) coefficient of variation.

          2. Given the following data below,
\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline Class & \( 1.5-1.9 \) & \( 2.0-2.4 \) & \( 2.5-2.9 \) & \( 3.0-3.4 \) & \( 3.5-3.9 \) & \( 4.0-4.4 \) & \( 4.5-4.9 \) & \( 5.0-5.4 \) & \( 5.5-5.9 \) & \( 6.0-6.4 \) \\
\hline \( \mathrm{f} \) & 1 & 2 & 10 & \( \mathrm{X} \) & 18 & 25 & 9 & 6 & 4 & 3 \\
\hline
\end{tabular}

If the mean is 3.98 , find (a) the value of \( \mathrm{X} \) (b) median (c) mode (d) \( 25^{\text {th }} \) percentile (e) \( 3^{\text {rd }} \) quartile (f) standard deviation (g) coefficient of variation.

2. Given the following data below,

Class 1.5-1.9 2.0-2.4 2.5-2.9 3.0-3.4 3.5-3.9 4.0-4.4 4.5-4.9 5.0-5.4 5.5-5.9 6.0-6.4

f 1 2 10 X 18 25 9 6 4 3

If the mean is 3.98 , find (a) the value of X (b) median (c) mode (d) 25^th percentile (e) 3^rd quartile (f) standard deviation (g) coefficient of variation.

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