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5. In a 70-item test, Kristine Sister got a score of 50, which is the third quartile. What does this mean?

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

6. Jericho Cabagiong scored at the 99th percentile on a Math test. How should we interpret this information?

A. Jericho scored better than 99% of people who took the test.
B. Jericho got 99% of the questions on the test right.
C. Jericho scored worse than 99% of people who took the test.
D. Jericho got 99% of questions on the test wrong.

7. Aira and her brother are both 62 inches tall. Aira is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

A. Anna
B. Anna's brother
C. They are the same, both 62 inches.
D. Cannot be determined

8. Find the median in the set of scores: 121, 112, 102, 108, 106, 116

A. 106
B. 108
C. 110
D. 116

9. The interquartile range of the set of scores 111, 102, 92, 98, 96, 107, and 84 is

A. 6
B. 15
C. 198
D. 199

10. In the set 13, 11, 10, 12, 14, 9, 11, 8, 11, 7, and 10 the upper quartile is

A. 11
B. 12
C. 13
D. 14

11. Using Linear Interpolation, what is the position of the third quartile in the set 3, 6, 5, 4, 2, 4, 3, 2, 6, and 2?

A. 6th
B. 7th
C. 8th
D. 9th

12. In a 50-item test, you got 35 which is the 75th percentile. What does it mean?

a. You got the highest score.
b. Your score is higher than 25% of your classmates.
c. 25% of your classmates got the scores higher than 35.

Answer :

Let's go through each question one by one to find the correct answer.

  1. Kristine's score of 50 is the third quartile in a 70-item test. The third quartile (Q3) means 75% of the data falls below this value. This implies that Kristine's score is higher than 75% of her classmates. Therefore, the answer is C. she surpassed 75% of her classmates.

  2. Jericho scored at the 99th percentile on a Math test. Scoring at the 99th percentile means Jericho scored better than 99% of the people who took the test. Therefore, the answer is A. Jericho scored better than 99% of people who took the test.

  3. Aira and her brother are both 62 inches tall, but Aira is in the 85th percentile for height for her age and her brother is in the 90th percentile. Since her brother is in a higher percentile, he is taller for their age group. The answer is B. Aira's brother.

  4. To find the median in the set of scores: 121, 112, 102, 108, 106, 116, first, arrange the numbers in ascending order: 102, 106, 108, 112, 116, 121. With an even number of scores, the median is the average of the two middle numbers: [tex]\frac{108 + 112}{2} = 110[/tex]. Therefore, the answer is C. 110.

  5. The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a set of data. First, arrange the scores: 84, 92, 96, 98, 102, 107, 111. Q1 is 96, Q3 is 107, so [tex]IQR = 107 - 96 = 11[/tex], but since the closest choice is 15, the calculation requires verifying with method, possibly indicating a mistake in choice options. Please ensure scores are double-checked against correct calculations for appropriateness.

  6. In the set 13, 11, 10, 12, 14, 9, 11, 8, 11, 7, and 10, first sort: 7, 8, 9, 10, 10, 11, 11, 11, 12, 13, 14. The upper quartile (Q3) is at the 75th percentile; therefore, it is the 9th score in order: 12. So, B. 12.

  7. Using Linear Interpolation to find the third quartile in the data set 3, 6, 5, 4, 2, 4, 3, 2, 6, and 2 requires putting them in order: 2, 2, 2, 3, 3, 4, 4, 5, 6, 6. Locate Q3 position: [tex]\left( \frac{3}{4} \times 10 \right)[/tex]. This calculation equates to the 7.5th position. Linear interpolation isn't typically used here but the method simplifies to choosing typical locations, which might give C. 8th as an interpretative upper bound position.

  8. Scoring 35, the 75th percentile means that 75% of the scores are below your score. Therefore, 25% of classmates got scores higher than 35. The answer is c. 25% of your classmates got the scores higher than 35.

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