The fivenumber summary below shows the grade distribution of

The five-number summary below shows the grade distribution of two STAT 200 quizzes for a sample of 500 students.

Minimum

Q1

Median

Q3

Maximum

Quiz 1

15

45

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?

Solution

interquartile range

Q3 - Q1

85-45 = 40

90-35 = 55

Which quiz has less interquartile range in grade distribution?

QUIZ 1

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

QUIZ 2

as you can see the grade 90 for quiz 2 is in the quartil 3 that means that 75% of the students have a grade less than 90 that means also that 25% of students have grade 90 or more

and for quiz 1 75% of the students have a grade less than 85 that means that only 25% have a grade 85 or more

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

It is impossible to tell using only the given information

WE DONT HAVE INFORMATION IN QUIZ 1 OR QUIZ 2 FOR A GRADE OF 60