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][tex]Q_1=5.5[/tex]
Third Quartile = [ending point of box][tex]Q_3=15.5[/tex]
Now, we know that the range of a data set is given by ;_
[tex]\text{Range = Maximum value - Minimum value}\\\\\Rightarrow\text{Range}=18-4=14[/tex]
The interquartile range is given by :-
[tex]IQ=Q_3-Q_1\\\\\Rightarrow\ IQ=15.5-5.5=10[/tex]
