Interpretation of Measures of Position

Christopher took the entrance examination in one of the Science High Schools in their province. His score is in the 6th decile and the passing score is the 75th percentile. Assuming that the values of 𝐷6 and 𝑃75 are not the same, can Christopher enroll in that particular school?

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

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

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

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

A dance choreographer is asking his 35 dancers to form a line according to height from the shortest to the tallest. One of the dancers, Francesca, has a height that is in the 40th percentile. Assuming that none of the dancers has the same height, how many dancers are shorter than Francesca?

• A. 3

• B. 13

• C. 14

• D. 21

Regine got a score of 92 which is the 88th percentile in a certain examination. Which of the following is TRUE?

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

• B. Eighty-eight percent of the class got scores less than or equal to 92

• C. Twelve percent of the class got scores less than or equal to 92

• D. She scored above 90% of her classmates.

The second quartile (𝑄2) of the ages of the 50 Grade 7-Lily students of XYZ National High School is 13 years old. Which of the following is TRUE?

• A. Most of the students are aging 13 years old.

• B. All of the students are aging 13 years old.

• C. There are 12 students aging 13 years old.

• D. There are 25 students that the ages are less than or equal to 13 years old.

A certain government scholarship is offered to incoming freshmen students in all state colleges and universities (SUCs) in the Philippines. The policy is that one SUC can only offer the scholarship to the students who will pass the qualifying examination and whose scores will belong to the top 35% of the scores of all examinees. Which of the following is FALSE?

• A. An examinee may get a score with a percentile rank of 40 to get the scholarship.

• B. An examinee may get a score with a percentile rank of 35 to get the scholarship.

• C. An examinee may get a score with a percentile rank of 32 to get the scholarship.

• D. An examinee may get a score with a percentile rank of 20 to get the scholarship.

Vincent got a score of 38 which is the 75th percentile in a summative test. Which of the following is FALSE?

• A. He passed the test if the passing score is the 6th decile.

• B. He scored above 75% of his classmates.

• C. Twenty-five percent of the class got scores below 38.

• D. Twenty-five percent of the class got scores of above 38.

Masagana National High School has a total of 60 teachers where the 3rd decile of the ages is 36 years old. Which of the following statements is TRUE?

• A. Thirty percent of the teachers has the age of 36 and below.

• B. Seventy percent of the teachers has the age of 36 and below.

• C. The ages of all teachers of Masagana National High School are 36 years old.

• D. Most of the teachers has the age of 36 years old.

Mel got a score of 55 which is equivalent to 70th percentile in a Mathematics test. Which of the following is NOT true?

• A. His score is below the 5th decile.

• B. 30% of the class got scores of 55 and above.

• C. He scored above 70% of her classmates.

• D. If the passing mark is the first quartile, he passed the test.

Jenny scored at the 99th percentile on a test. How should we interpret this information?

• A. Jenny scored better than 99% of people who took this test.

• B. Jenny scored worse than 99% people who took this test.

• C. Jenny got 99% of the questions on the test right.

• D. Jenny got 99% of questions on the test wrong.

In a 70-item test, Melody got a score of 50 which is the third quartile. This means that:

• A. she got the highest score

• B. her score is higher than 25% of her classmates

• C. she surpassed 75% of her classmates

• D. seventy-five percent of the class did not pass the test