The five-number summary below shows the grade distribution of two STAT 200 quizz

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.
a. Which quiz has less interquartile range in grade distribution?

b. Which quiz has the greater percentage of students with grades 90 and over?

c.Which quiz has a greater percentage of students with grades less than 60?

Explanation / Answer

(1) For quiz 1 :

Interquartile range = 85 - 30 = 55

Fr quiz 2 :

Interquartile range = 90 - 35 = 55

so here option d is correct. So, both quizzes have the same value requested.

(b) Here quiz 2 has the greater percentage of studentes with grades and over. As, there are twenty five percent student for quiz 2 who have more than 90 marks. But for quiz 1, there are twenty five percent student who have more than 85 marks. So,, quiz 2 is the answer.

(c) Here is is impossible to tell using only the given information here.

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