Kareem records his most recent bowling scores. His scores are shown below in order from least to greatest. \[ 110,118,122,130,140,144 \] Suppose that the score of 144 points changes to 150 points. Answer the following. \begin{tabular}{|c|c|} \hline (a) What happens to the range? & \begin{tabular}{l} The range increases by \( \square \) points. \\ The range decreases by \( \square \) points. \\ The range stays the same. \end{tabular} \\ \hline \begin{tabular}{l} (b) What happens to the interquartile \\ range (IQR)? \end{tabular} & \begin{tabular}{l} The IQR increases by \( \square \) points. \\ The IQR decreases by \( \square \) points. \\ The IQR stays the same. \end{tabular} \\ \hline \end{tabular}
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The range is the difference between the highest and lowest scores in the dataset. Originally, the scores are 110, 118, 122, 130, 140, 144. Therefore, the original range is: \[ \text{Range} = 144 - 110 = 34 \text{ points} \] Show more…
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