I need help regarding this activity on Measures of Relative Position,

please help me answer Part A

and on Part B, I already computed the values, I just need the interpretation.

Exercise 4.4.2 Measures of Relative Position Name: Score: Course and Year: Date: A. Five hundred students took an 80-point standardized examination. After the examination, students were given their percentile scores, instead of the raw scores. In this examination, the passing score is 60 points. Using this information, identify if the statements below are true of false. Answer 1. The score of Maria is the 87th percentile. This means that 87% of the number of examinees scored lower or equal to Maria's. 2. The percentile rank of Jose's score is 60. This means that Jose passed the examination. 3. Ruben's score is the 720 percentile. It follows that 28% of the number of examinees outdid Ruben. 4. Val's score is the median score. This means that 250 students scored higher than Val. 5. The score of Jane is the 80th percentile so she must have perfected the examination. 6. Kyro's score is the 49" percentile. This means that Kyro is 11 points behind passing. Christine's score is only the 10" percentile but it does not mean that she failed the examination. 8. Timothy's score is the first quartile. This means that 25% of the number of examinees scored better than him. 9. Pedro's score is the 99" percentile. This means that Pedro gamered the highest score. 10. Ken's score is the 6" decile. Therefore, 300 students scored at most as high as Ken's.B. Given the scores of 31 students in a Mathematics Examination, compute for the following quantiles. Page 111 A. Q1 = (n + 1)/4 b. 2 03 = (3(n+1))/4 = 32/4 =(3x32)/4 =8th value of the observation =24th value of the observation Q1 = 39 Q3 = 54 Interpretation Interpretation C. D, d. D. D3=(3(n+1))/10 D9 = (9(n+1))/10 =(3x32)/10 =(9x32)/10 = 9th observation + 0.6 (10th - 9th) = 28th observation +0.8(29th - 28th) =40+0.6(42-40) =58 + 0.8(61-58) D3 = 41.2 D9 = 60.4 Interpretation Interpretation e. P. f. P. P71 = (71(n+1))/100 P87=(87(n+1))/100 = (71x32)/100 = (87x32)/100 =22nd observation + 0.72(23rd-22nd) =27th observation + 0.84 (28th-27th) =50+0.72(54-50) =56 + 0.84 (58-56) P71 = 52.88 P87 = 57.68 Interpretation Interpretation