Question

15. A botanist collected data on the different elevations at which a certainplant grows. The data collected by the botanist are shown.275, 300, 370, 425, 425, 450, 500,500, 550, 600, 600, 650, 725, 725, 800Which box plot correctly represents the data collected by the botanist?200300400500600700800200300400500600700800HHHHH200 300 400 500600+++800700200300+400500600700800

Answer 1

In order to find the correct box plot, first let's calculate the median of the data set.

The set is already in crescent order, and it has 15 elements, so the median will be the 8th element, which is 500.

This value is represented by the middle line in the box plot. Since there are two options with the median = 500, let's calculate the first interquartile.

If we consider just the first 7 elements, the middle term will be the 4th element, so the first interquartile is 425.

Looking at the options, the one with first interquartile equal 425 is the first one (option A).