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?

Explanation:

Step1: Recall the concept of inter - quartile range (IQR)

The inter - quartile range is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), i.e., $IQR = Q_3 - Q_1$. A smaller IQR indicates that the middle 50% of the data is more tightly clustered, which means the data is more consistent.

Step2: Analyze the given IQRs

Resort A has an IQR around 50 and Resort B has an IQR around 75. Since 50<75, Resort A has a smaller IQR.

Answer:

The data for Resort A is more consistent because it has a smaller inter - quartile range.