David records the number of students in a variety of classes at his school. The results are shown below in order from least to greatest. \[ 21,22,26,30,31,31 \] Suppose that the class with 30 students changes to 26 students. Answer the following. \begin{tabular}{|l|l|} \hline \begin{tabular}{l} (a) What happens to the interquartile \\ range (IQR)? \end{tabular} & \begin{tabular}{l} The IQR increases by \( \square \) students. \\ The IQR decreases by \( \square \) students. \\ The IQR stays the same. \end{tabular} \\ \hline (b) What happens to the range? & \( \bigcirc \) The range increases by \( \square \) students. \\ & \begin{tabular}{l} The range decreases by \( \square \) students. \\ The range stays the same. \end{tabular} \\ \hline \end{tabular}
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The original data for the number of students in classes is: \[ 21, 22, 26, 30, 31, 31 \] The class with 30 students changes to 26 students, so the new data set becomes: \[ 21, 22, 26, 26, 31, 31 \] Show more…
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