A box plot much like the one shown in this post are used to show data and the particular variance of that data, showing you the range. There are a few different style of marks as you see well the left point is what you could say in this one the least amount of annual snow fall and the far right being the other end of the spectrum the largest amount they could receive in annual snowfall. What the boxes then tell you are the actual data they have recorded then showing you a general idea of the amount you may see.
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