Question

Find the range and the interquartile range of the data set represented by the box plot.

Answer 1

The interquartile range is 4 to 5.5 because where the lines fall that is the different quartile range

Answer 2

Answer: Range = 14

Interquartile range = 10

Step-by-step explanation:

From the given box plot, we can see the minimum value in data set = 4

The maximum value in data set = 18

First Quartile [starting point of box]$Q_1=5.5$

Third Quartile = [ending point of box]$Q_3=15.5$

Now, we know that the range of a data set is given by ;_

$\text{Range = Maximum value - Minimum value}\\\\\Rightarrow\text{Range}=18-4=14$

The interquartile range is given by :-

$IQ=Q_3-Q_1\\\\\Rightarrow\ IQ=15.5-5.5=10$