Question

30 tulips from garden x and a random sample of 30 tulips from garden y.
which garden typically has taller tulips? explain.
garden y typically has taller tulips.
you can tell because the median of its sample is greater than that of the other garden.
which garden has tulips with more consistent heights? explain.
garden? typically has tulips with more consistent heights. you can tell because the? of its sample is? that of the other garden.

Explanation:

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

The inter - quartile range (IQR) is a measure of the spread of a data set. A smaller IQR indicates more consistent data. The formula for IQR is \(IQR = Q_{3}-Q_{1}\), where \(Q_{1}\) is the first quartile and \(Q_{3}\) is the third quartile.

Step2: Analyze the box - plots

For Garden Y, the box (which represents the IQR) is shorter compared to Garden X. A shorter box in a box - plot means a smaller IQR.

Answer:

Garden \(Y\) typically has tulips with more consistent heights. You can tell because the \(IQR\) of its sample is \(less\ than\) that of the other garden.