Question

resort a – snowfall in inches resort b – snowfall in inches 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 does.

Explanation:

To solve this, we analyze the box - and - whisker plots for Resort A and Resort B:

1. Median Comparison

• The median of a box - and - whisker plot is the line inside the box. For Resort A, the median (the line in its box) is around 275. For Resort B, the median (the line in its box) is around 300 (or higher than 275). So, the median of Resort B is greater than that of Resort A. So the statement "The median snowfall for Resort A is greater than the median for Resort B" is false, and "The median snowfall for Resort B is greater than the median for Resort A" is true.

2. Interquartile Range (IQR) Comparison

• The IQR is the length of the box (Q3 - Q1). Looking at the boxes, the box for Resort A is shorter than the box for Resort B. So, the IQR of Resort A is less than that of Resort B. Thus, the statement "The interquartile range has higher values for Resort A than for Resort B" is false.

3. Variation (Spread) Comparison

• The variation of the data can be seen from the length of the whiskers and the overall spread. Resort B's whiskers and box seem to cover a range that is more spread out? Wait, no. Wait, Resort A's minimum is 175 and maximum is 375. Resort B's minimum is 200 and maximum is 400. But also, the IQR of Resort B is larger. Wait, actually, when we look at the spread, Resort B's data is more spread out? Wait, no, let's check again. Wait, the range (max - min) for Resort A: 375 - 175 = 200. For Resort B: 400 - 200 = 200? Wait, no, maybe the whiskers. Wait, the box - and - whisker plot: the whiskers extend to the minimum and maximum non - outlier values. But from the plot, Resort B's data is shifted to the right and its box is longer. Wait, actually, the overall spread (range and IQR) of Resort B is more? Wait, no, the statement "The data have more variation for Resort A than for Resort B" is false. Wait, maybe I made a mistake. Wait, Resort A's whiskers are from 175 to 375, and Resort B's from 200 to 400. But the IQR of Resort B is larger. So Resort B has more variation? Wait, no, the question is which is more variable. Wait, maybe the original plots: if Resort B's data is more spread out (longer box and maybe longer whiskers), then Resort B has more variation. So the statement "The data have more variation for Resort A than for Resort B" is false.

4. Overall Snowfall

• Since the median of Resort B is higher, and the data of Resort B is shifted to the right (more of its data is in the higher snowfall range), Resort B has more snowfall overall. So the statement "Resort B has more snowfall overall than Resort A does" is true.

So the correct statements are:

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

Answer:

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

(If we have to check the boxes:

• [ ] The median snowfall for Resort A is greater than the median for Resort B.
• [x] 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.
• [x] Resort B has more snowfall overall than Resort A does. )