Question

In a high school, 160 students completed a questionnaire which asked for the number of people they are following on social media. If you rank in the 3rd quartile of 1000 students, how many students rank above you?

a) 250
b) 500
c) 750
d) 1000

Answer 1

If you are in the 3rd quartile of 1000 students, 250 students rank above you, as the 3rd quartile indicates you are above the bottom 75% of students.

Step-by-step explanation:

If you rank in the 3rd quartile of 1000 students, you are above the bottom 75% of students but below the top 25%. Quartiles divide the data into four equal parts. The 1st quartile (Q1) represents the top 25%, the 2nd quartile (Q2) the top 50%, the 3rd quartile (Q3) the top 75%, and the 4th quartile (Q4) the top 100%. Since you are in the 3rd quartile, 75% of the students rank below you. This means 25%, or 250 students, rank above you in this case out of 1000 students.The correct answer is a) 250.