Question

What is the interquartile range of the data displayed in this box-and-whisker plot? box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. plot defined by points at 35, 42, 49, 54, 57. a box runs from 42 to 54.

Answer 1

Answer: The interquartile range= 12

Step-by-step explanation:

From the given the lower quartile $Q_1$= 42

the middle quartile $Q_2$= 49

The upper quartile $Q_3$= 54

We know that the  interquartile range is given by:=-

Interquartile range= upper quartile- lower quartile or $Q_3-Q_1$

⇒$\text{Interquartile range (IQ)}=54-42=12$

Hence, the interquartile range of the data displayed in this box-and-whisker plot is 12.