Question

11. Below is some data about two students who took the same exams as weliras the class mean and standard deviation for these exams. Both girls are language majors. French Exam Spanish Exam Anna 83 83 Megan 177 95 X 81 74 15 a. To qualify for language honors, a major must maintain at least an 85 average for all language courses taken. So far, which student qualifies? b. Which student's overall performance was better?

Answer 1

a) from the given table Anna's and Megan's averages for all languages are

Anna's average = (83+83)/2 = 83

Megan's average = (77+95)/2 = 86

Here Megan's all languages average is 86 which is greater than 84.

So Megan should qualify the language honors

b) Anna's standard deviation s1 = 0

And Megan's standard deviation s2 = 12.73

Anna has no variation in language scores .

Anna's coefficient of variation =( 0/83)*100 = 0

Megan's coefficient of variation (12.73/86)*100 = 14.80

Low coefficient of variation means good performance .

Here Anna has low coefficient of variation so Anna's overall performance is good.