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which statement is true of the snowfall data in the box - plots? check …

Question

which statement is true of the snowfall data in the box - plots? check all that apply. the median snowfall for resort a is greater than the median for resort b. the median snowfall for resort b is greater than the median for resort a. the interquartile range has higher values for resort a than for resort b. the data have more variation for resort a than for resort b. resort b has more snowfall overall than resort a.

Explanation:

Step1: Analyze median from box - plots

The line in the box of a box - plot represents the median. The median for Resort A is around 275 inches and for Resort B is around 325 inches. So the median snowfall for Resort B is greater than the median snowfall for Resort A.

Step2: Analyze inter - quartile range (IQR)

The length of the box in a box - plot represents the IQR. The IQR for Resort A is approximately \(325 - 250= 75\) inches and for Resort B is approximately \(375 - 300 = 75\) inches. They are approximately equal.

Step3: Analyze overall snowfall

The minimum and maximum values for Resort A range from about 200 to 375 inches and for Resort B from about 275 to 400 inches. Resort B has higher minimum, median and maximum values, so Resort B has more snowfall overall than Resort A.

Answer:

  • The median snowfall for Resort B is greater than the median snowfall for Resort A.
  • Resort B has more snowfall overall than Resort A.