Question

4. Yearly, students are invited to membership in the honor society for your major if their
class rank is at least in the 90th percentile for all students in that major. In 2019 you
ranked 30 out of 128 students in your major.
a. Will you be invited to membership?
b. If you had the data on the cumulative gpa of each member of the honor society at
the end of the spring semester in 2019, which measure of average would be the
most meaningful - mean, median, mode? Explain.
No

Answer 1

You will not invited

Mean is best measure of average.

Given:

Class rank is at least = 90th percentile

Rank 30 out of 128 student  

Find:

1. Invited for membership or not

2. Best measure of average

Computation:

Rank in total = [(100 - Percentile)(Total students)]/100  

30 = [(100 - Percentile)(128)]/100

3000 = [(100 - Percentile)(128)]

23.4375 = 100 - Percentile

Percentile = 100 - 23.4375

Percentile = 76.5625  

Since Percentile smaller than 90, So, you will not invited to membership

Mean is best measure of average.

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