The following boxplots represent the scores of two groups of students taking the same mathematics
examination. One group studied the course in a residential school while the second studied at home.
Scores of residential students
30 40 50 60 70 00
Scores of students studying at home
Mark
30
50
60
80
Mark
(Note that the tables of summary values have not been included in these boxplots as this question is
assessing your understanding of the shape of the boxplots.)
Choose the two options from the list below that are true.
Select one or more:
The interquartile range of the marks of the residential students is less than the range of the marks
of the students who studied at home.
The third quartile of the marks of the residential students is smaller than the third quartile of the
marks of the students who studied at home.
The median of the marks of the residential students is greater than the third quartile of the marks of
the students who studied at home
The range of the marks of the residential students is greater than the range of the marks of the
students who studied at home.
All the marks of the students who studied at home are less than the top 25% of the marks of the
residential students