Question

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
1. Calculate the range and Interquartile range for each set of data.
2. Using complete sentences, compare the data sets based on your results in part A.
NEED THIS ASAP PLEASE

Answer 1

Here are the solutions:

1.
Studied:
Range = 100 - 79 = 21
Interquartile range = 96 - 89 = 7

Did Not Study:
Range = 91 - 45 = 46
Interquartile range = 83 - 73 = 10

2. Using complete sentences:

The students who studied for at least one hour had a smaller range and interquartile range for their test scores compared to the students who did not study at all.

The scores for the students who studied were tighter together while the scores for the students without studying were more spread out and varied.

The studied group achieved significantly higher median scores since their interquartile range was smaller. In summary, studying for the vocabulary test resulted in more consistent and higher scores for the students.

Does this help explain the solutions? Let me know if any part is unclear. I can provide additional details or examples if needed.