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.

Question

Mathematics

Orlando Burke

9 November, 15:55

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.

+4

Answers (1)

Know the Answer?

Gisselle Zamora · Answer 1

For the group that studied:

The range is 100 - 79 = 21

Q1 = 88.5

Q3 = 99.5

Interquatile range = Q3 - Q1 = 99.5 - 88.5 = 11

For the group that did not study:

Range = 91 - 45 = 46

Q1 = 65

Q3 = 89

Interquartile range = Q3 - Q1 = 89 - 65 = 24