The five-number summary below shows the grade distributions of two STAT 200 quiz
ID: 3056669 • Letter: T
Question
The five-number summary below shows the grade distributions of two STAT 200 quizzes for a sample of 500 students
For each question, give your answer as one of the following. (i) Quiz 1; (ii) Quiz 2; (iii) Both quizzes have the same value requested; (iv) It is impossible to tell based on the given information. Then explain your answer in each case.
a) Which quiz has less range in grade distribution?
b) Which quiz has the greater percentage of students with grades 85 and over?
c) Which quiz has a greater percentage of students with grades less than 60?
Minimum Q1 Median Q3 Maximum Quiz1 15 35 55 58 100 Quiz 2 20 35 50 90 100Explanation / Answer
a)
here Quiz 1 range =max-min =100-15 =85
Quiz 2 range =max-min =100-20 =80
hence Quiz 2 has less range
b)
as Q3 is above 85 for quiz 2 ' which means more than 25 % values are there in quiiz 2 for grades 85 and over,
hence quiz 2 has the greater percentage of students with grades 85 and over
c)from above as quiz 1 has Q3 near to 60 ; therefore 75% values are below that point
has quiz 1 has a greater percentage of students with grades less than 60
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