Question

School 1: minimum:68, Q1=77, median=83, Q3=86, maximum=95
School 2: minimum:65, Q1:73, median=81, Q3=85, maximum=98
Ms. Rodriguez concludes that students in both schools did about the same on the test. How can she use the five-number summaries to justify her conclusion?

Answer 1

In school 1, 50% of the students scored above 83 and in school 2, 50% of the class scored above 81.
In school 1, 25% of the students scored above 86 and in school 2, 25% of the class scored above 85.
In school 1, 25% of the students scored below 77 and in school 2, 25% of the class scored below 73.
The minimum score for school 1 is 68 while that of school 2 is 65.
The maximum score for school 1 is 95 while that of school 2 is 98.

In all this measures of center, the data from both schools are close together, so we can conclude that both schools did abut the same on the test.