Question

The box plots of two sets of data are shown in the figure. What's the inter quartile range (IRQ) of both data sets?

Answer 1

Answer:

D. 15

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Step-by-step explanation:

The IQR is the difference between the third and first quartiles:

IQR = Q₃ - Q₁

In a boxplot, these values are the ends of the "box".

In data set I:

Q₁ = 30,  Q₃ = 45  =>  IQR = 45 - 30 = 15

In data set II:

Q₁ = 35,  Q₃ = 50  =>  IQR = 50 - 35 = 15

In both data sets, the interquartile range is 15.