The five-number summary below shows the grade distribution of two quizzes for a
ID: 3395743 • Letter: T
Question
The five-number summary below shows the grade distribution of two quizzes for a sample of 500 students.
Minimum
Q1
Median
Q3
Maximum
Quiz 1
15
30
55
85
100
Quiz 2
20
35
50
90
100
For each question, give your answer as one of the following: (a) Quiz 1; (b) Quiz 2; (c) Both quizzes have the same value requested; (d) It is impossible to tell using only the given information. Then explain your answer in each case.
Which quiz has less interquartile range in grade distribution?
Which quiz has the greater percentage of students with grades 90 and over?
Which quiz has a greater percentage of students with grades less than 60?
Minimum
Q1
Median
Q3
Maximum
Quiz 1
15
30
55
85
100
Quiz 2
20
35
50
90
100
Explanation / Answer
Which quiz has less interquartile range in grade distribution?
BOTH QUIZES HAVE THE SAME VALUE
IRQ = Q3 - Q1
Which quiz has the greater percentage of students with grades 90 and over?
It is impossible to tell using only the given information.
Which quiz has a greater percentage of students with grades less than 60?
QUIZ 1 BECAUSE THE MEDIAN IS GREATER THAN QUIZ 2