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Question
the snowfall data for resort a have an interquartile range of around 50. the snowfall data for resort b have an interquartile range of around 75. which data are more consistent, and what does that mean?
Step1: Recall inter - quartile range concept
A smaller inter - quartile range (IQR) indicates less variability.
Step2: Compare IQRs
Resort A has IQR = 50, Resort B has IQR = 75. Since 50<75.
Step3: Determine consistency
Resort A's data is more consistent.
Step4: Explain consistency
It means the middle 50% of Resort A's snowfall data values are closer together compared to Resort B's.
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The snowfall data for Resort A are more consistent. This means that the middle 50% of the snowfall values at Resort A are less spread out than the middle 50% of the snowfall values at Resort B.