Solution
For this case we need to sort the values and we have:
Studied
79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100
Q3= 98.25
Q1= 89
Therefore IQR = 98.25-89= 9.25
Not Studied
45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91
Q3= 87.5
Q1= 70.25
Therefore IQR = 87.5-70.25= 17.25
From the results obtained we can conclude that the students who not studied havve larger variability compared to those who studied