5 number summary min q1 Median q3 Max quiz1 15 30 55 85 100

5 number summary:

min q1 Median q3 Max

quiz1 15 30 55 85 100

quiz2 20 35 50 90 100

Which quiz has a greater % of students with grades 80 or over?

Which quiz has a greater % of students with grades less than or equal to 50?

Solution

A distribution has 25% data values between first quartile and median, 25% data values between third quartile and max. And 50% data values are less than equal to median and 50% data values are greater than equal to median.

That is quiz 1 has 25% data values between 85 and 100, while quiz 2 has 25% data values between 90 and 100. So quiz 2 has a greater % of students with grades 80 or over.

Quiz 1 has 50% grades less than equal to 55 and quiz 2 has 50% grades less than equal to 50 So quiz 2 has a greater % of students with grades less than or equal to 50.