A teacher surveyed her class after they had taken a vocabulary test. Eighteen of the students claimed they had studied at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The test results (expressed as a percent) for the two groups are shown below.
Studied: 88, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 84
Did Not Study: 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Calculate the range and interquartile range for each set of data.
Using complete sentences, compare the data sets based on your results in part A.
ANSWER TO QUESTION
Part A
Studied : 79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100
Range : 21
Interquartile range : 99.5 - 89 = 10.5
Did not study : 45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91
Range : 46
Interquartile range : 89 - 65 = 24
Part B
The students that claimed to study had a lower range and interquartile than the students that did not study. Range difference between the students that did not study vs the students that did study, 46 > 21. Interquartile range difference between the students that did not study vs the students that did, 24 > 10.5.