(Solved): Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Us ...

Use the magnitudes (Richter scale) of the 120 earthquakes listed in the accompanying data table. Use technology to find the range, variance, and standard deviation. If another value, \( 8.00 \), is added to those listed in the data set, do the measures of variation change much? Click the icon to view the table of magnitudes. Without the extra data value, the range is (Type an integer or decimal rounded to three decimal places as needed.) \begin{tabular}{lllllll} \( 3.32 \) & \( 2.79 \) & \( 2.80 \) & \( 1.95 \) & \( 1.70 \) & \( 2.52 \) \\ \hline \( 2.44 \) & \( 3.42 \) & \( 3.97 \) & \( 1.57 \) & \( 2.86 \) & \( 1.64 \) \\ \hline \( 2.54 \) & \( 4.01 \) & \( 2.54 \) & \( 2.43 \) & \( 1.81 \) & \( 2.16 \) \\ \hline \( 2.45 \) & \( 3.01 \) & \( 2.93 \) & \( 2.34 \) & \( 1.97 \) & \( 3.04 \) \\ \hline \( 2.77 \) & \( 3.87 \) & \( 2.94 \) & \( 2.09 \) & \( 1.84 \) & \( 2.35 \) \\ \( 2.38 \) & \( 3.47 \) & \( 3.46 \) & \( 1.55 \) & \( 2.56 \) & \( 1.49 \) \\ \( 2.20 \) & \( 3.10 \) & \( 2.29 \) & \( 3.23 \) & \( 1.98 \) & \( 1.93 \) \\ \( 2.41 \) & \( 2.92 \) & \( 2.58 \) & \( 1.50 \) & \( 2.17 \) & \( 2.35 \) \\ \( 1.90 \) & \( 2.71 \) & \( 2.88 \) & \( 1.82 \) & \( 3.68 \) & \( 2.66 \) \\ \( 1.44 \) & \( 3.64 \) & \( 3.14 \) & \( 2.56 \) & \( 1.51 \) & \( 1.42 \) \\ \( 2.84 \) & \( 2.86 \) & \( 2.18 \) & \( 1.67 \) & \( 3.18 \) & \( 1.38 \) \\ \( 1.74 \) & \( 2.38 \) & \( 1.15 \) & \( 2.36 \) & \( 2.47 \) & \( 1.80 \) \\ \( 2.00 \) & \( 3.00 \) & \( 1.92 \) & \( 2.45 \) & \( 1.88 \) & \( 2.23 \) \\ \( 2.36 \) & \( 3.23 \) & \( 3.99 \) & \( 2.07 \) & \( 1.49 \) & \( 2.30 \) \\ \( 2.32 \) & \( 2.59 \) & \( 2.59 \) & \( 2.19 \) & \( 2.80 \) & \( 2.47 \) \\ \( 2.72 \) & \( 3.64 \) & \( 2.82 \) & \( 2.77 \) & \( 3.26 \) & \( 1.75 \) \\ \( 4.69 \) & \( 3.26 \) & \( 2.38 \) & \( 2.00 \) & \( 3.87 \) & \( 2.37 \) \\ \( 2.85 \) & \( 2.68 \) & \( 2.31 \) & \( 2.85 \) & \( 2.78 \) & \( 2.41 \) \\ \( 3.42 \) & \( 2.32 \) & \( 1.49 \) & \( 2.40 \) & \( 2.43 \) & \( 2.49 \) \end{tabular} \( \begin{array}{llllll}2.69 & 2.43 & 2.80 & 2.68 & 2.72 & 2.45\end{array} \)