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Some Calculations Using Five Number Summary

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The five numbers summary below shows the grade distribution of two SAT 200 quizzes

minimum Q1 Median Q3 Maximum
Quiz 1.............12...............50.............60...................95...................100

Quiz 2..............20...............35............50...................80...................100

INSTRUCTIONS: 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.
(a) Which quiz has greater interquartile range in grade distribution?
(b) Which quiz has the greater percentage of students with grades 80 and over?
(c) Which quiz has a greater percentage of students with grade less than 60?

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Solution Summary

The solution gives detailed steps on finding interquartile and calculating specific percentage using given five number summary.

Solution Preview

a. Choose c. For quiz 1 interquartile=q3-q1=95-50=45. But for quiz 2 ...

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