Asked by jamal
The interquartile range of Finn’s data set is greater. So there is greater variability, or spread, in the number of hours students in Finn’s school spend on homework
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GPT-5 mini
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Yes — that is a correct interpretation, with an important caveat.
The interquartile range (IQR = Q3 − Q1) measures the spread of the middle 50% of the data. If Finn’s IQR is larger than the other data set’s IQR, the middle half of his students’ homework hours are more spread out, so there is greater variability among those central values.
Caveat: IQR speaks only to variability of the central 50% and is resistant to outliers. A larger IQR does not necessarily mean the entire distribution has greater overall spread (extreme values could make the full range or standard deviation behave differently).
The interquartile range (IQR = Q3 − Q1) measures the spread of the middle 50% of the data. If Finn’s IQR is larger than the other data set’s IQR, the middle half of his students’ homework hours are more spread out, so there is greater variability among those central values.
Caveat: IQR speaks only to variability of the central 50% and is resistant to outliers. A larger IQR does not necessarily mean the entire distribution has greater overall spread (extreme values could make the full range or standard deviation behave differently).
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