Problem

Interpret five-number summary \((2,5,8,11,17)\). Determine the median, \(IQR\), range, half-box lengths, whisker lengths, and evidence about distribution shape.

Source statistical display: Which complete interpretation correctly describes five-number summary (2,5,8,11,17)? No requested analysis or conclusion is annotated.

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What this problem is really about

Read the five marked positions first, then subtract adjacent positions to expose the two half-box lengths and two whisker lengths. The box width gives IQR and the full endpoint span gives range; unequal whiskers can suggest different tail spread, but a box plot cannot prove the unseen distribution’s complete shape.

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median=8; IQR=11−5=6; range=17−2=15; half-box lengths=3 below and3 above median; whiskers=3 lower and3 upper; shape evidence=fully balanced segments

median=8; IQR=17−2=15; range=11−5=6; half-box lengths=3 below and3 above median; whiskers=3 lower and6 upper; shape evidence=balanced box with a longer upper whisker

median=8; IQR=11−5=6; range=17−2=15; half-box lengths=3 below and3 above median; whiskers=6 lower and3 upper; shape evidence=greater lower-tail spread

median=8; IQR=11-5=6; range=17-2=15; half-box lengths=3 below and3 above median; whiskers=3 lower and6 upper; shape evidence=balanced box but longer upper whisker, suggesting greater upper-tail spread

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Interpret five-number summary \((2,5,8,11,17)\). Determine the median, \(IQR\), range, half-box lengths, whisker lengths, and evidence about distribution shape.

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