R. C. Droid has developed a new computer. He calls it the Droid computer. Mr. Droid has virtually every aspect of his new company well underway except for his sales force. He has not yet hired any salespeople to sell the Droid computer. Mr. Droid believes that any person with a high degree of intelligence (not necessarily high grades) can be trained to sell his computer. Thus, Mr. Droid administered an I.Q. test to three groups of applicants: accounting majors, English literature majors, and electrical engineering majors. The following data are the results of the test:
Number in group
20
30
30
20
Accounting
165
160
150
155
score
30
90
Number in group
160
10
English score
30
20
30
40
Number in group
160
150
155
165
Engineering score
1. Which of the groups had the highest mean test score?
2. What is the average test score for the entire group of applicants?
3. Which average (mean, median, or mode) best describes this set of applicants? Why?
4. Draw a vertical bar graph showing the mean I.Q. from each major.