how to calculate percentile

[thephoenix]

Anne scored higher than exactly 12 of the 25 students in her class. She is in the nth percentile. What is n?

[ajith]

Anne scored higher than exactly 12 of the 25 students in her class. She is in the nth percentile. What is n?

"A percentile is the value of a variable below which a certain percent of observations fall. So the 20th percentile is the value (or score) below which 20 percent of the observations may be found". (wikipedia)

In this case percentile is 12/25*100 = 48th

[kewltot]

Anne scored higher than exactly 12 of the 25 students in her class. She is in the nth percentile. What is n?

Anne scored higher than exactly 12 of the 25 students in her class => she ranked 13 in the class of 25 students.

percentile = 13/25 * 100 = 52% is the right answer.

[ajith]

Anne scored higher than exactly 12 of the 25 students in her class. She is in the nth percentile. What is n?

Anne scored higher than exactly 12 of the 25 students in her class => she ranked 13 in the class of 25 students.

percentile = 13/25 * 100 = 52% is the right answer.

If Anne's Percentile is 52 then Anne did better than 52% of the students or 13 students, which is not the case

Here Anne did better than 12 students which is 48% of the class and hence 48 percentile!

[djkvakin]

Anne scored better than 12 students, and worse than exactly 12 students. This puts her in the middle of the class. Her rank is 50th percentile. Half of the class scored lower and half scored higher.

What is the correct answer?

[thephoenix]

ajith is right

percentile=(rank/strength)*100
=12/25*100=48