The five-number summary below shows the grade distribution of two STAT 200 quizz
ID: 3378039 • Letter: T
Question
The five-number summary below shows the grade distribution of two STAT 200 quizzes for a sample of 500 students.
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. (4 pts each)
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 Medium Q3 Maximum Quiz 1 15 45 55 85 100 Quiz 2 20 35 50 90 100Explanation / Answer
IQR = 40 for Quiz I and 55 for Quiz II
Hence quiz I has less interquartile range in grade distribution
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Quiz 2 has the greater percentage of students of grades 90 and over
Quiz I has the less percentage of students of grades <60
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