Interpreting Measures of Position

Theodoro took the entrance examination in San Pablo City Science Integrated High School. His score is in the 7th decile and the passing score is the 75th percentile. Suppose that 𝐷7 and 𝑃75 are not equal, can Theodoro enroll in that school?

• Yes, because his score is greater than the passing score.

• Yes, because his score is equal to the passing score.

• No, because his score is equal to the passing score.

• No, because his score is below the passing score.

Miss Nicole asked her advisory class with 45 students to form a line based in height from the shortest to the tallest. Tony’s height is in the 40th percentile. Assuming that none of the students has the same height, how many students are taller than Tony?

• 18

• 24

• 27

• 30

Jason got a score of 90 which is the 88th percentile in First Summative Test in Mathematics. Which of the following is TRUE?

• Eighty-eight percent of the class got scores less than or equal to 90.  

• He passed the test if the passing score is the 9th decile.

• Twelve percent of the class got scores less than or equal to 90.

• He scored above 90% of his classmates.

The second quartile (𝑄2) of the ages of the 50 Grade 7-Rutherford students of San Jose National High School is 12 years old. Which of the following is TRUE?

• Most of the students are aging 12 years old.

• All of the students are aging 12 years old.

• There are 12 students aging 12 years old.

• There are 25 students that the ages are less than or equal to 12 years old.

A certain government scholarship is offered to incoming Grade 11 students in Laguna. The passing score to be accepted as scholar is at 60^th percentile. Which of the following scores will make a student accepted as scholar?

• 𝑄1    

•  𝑄3

• 𝐷4

• 𝑃50