Problem

In the context of race times, compare the spreads of the \(\text{two}~\text{distributions}\): group A \(IQR\) \(4~\text{seconds}\), group B \(IQR\) \(12~\text{seconds}\).

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What this problem is really about

Interquartile range describes the width of the middle half, so it compares consistency rather than typical speed. Put the two IQRs side by side, find how much wider one middle interval is, and translate the larger width into greater variability in the original time units.

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Group B has more variability in the middle half of race times because its IQR is 12 seconds, which is larger than Group A’s 4 seconds.

Group B has faster race times because its IQR is 12 seconds, so the larger number means better performance overall.

Both groups have the same spread in race times because IQR only describes the middle part, not the whole distribution.

Group A has more variability in the middle half of race times because a smaller IQR means the data change more quickly.

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In the context of race times, compare the spreads of the \(\text{two}~\text{distributions}\): group A \(IQR\) \(4~\text{seconds}\), group B \(IQR\) \(12~\text{seconds}\).

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