taiwan-gsat 2023 Q4

taiwan-gsat · Other · gsat__math-b 5 marks Measures of Location and Spread
A school's midterm examination has 29 test takers, and all scores are different. After statistics, the scores at the 25th, 50th, 75th, and 95th percentiles are 41, 60, 74, and 92 points respectively. Later, it was discovered that the scores needed adjustment. The scores of the top 15 students with higher scores should each be increased by 5 points, while the remaining students' scores remain unchanged. Assuming the adjusted scores at the 25th, 50th, 75th, and 95th percentiles are $a$, $b$, $c$, and $d$ points respectively, which of the following options is the tuple $(a, b, c, d)$?
(1) $(41,60,74,92)$ (2) $(41,60,74,97)$ (3) $(41,65,79,97)$ (4) $(46,65,79,92)$ (5) $(46,65,79,97)$
A school's midterm examination has 29 test takers, and all scores are different. After statistics, the scores at the 25th, 50th, 75th, and 95th percentiles are 41, 60, 74, and 92 points respectively. Later, it was discovered that the scores needed adjustment. The scores of the top 15 students with higher scores should each be increased by 5 points, while the remaining students' scores remain unchanged. Assuming the adjusted scores at the 25th, 50th, 75th, and 95th percentiles are $a$, $b$, $c$, and $d$ points respectively, which of the following options is the tuple $(a, b, c, d)$?

(1) $(41,60,74,92)$
(2) $(41,60,74,97)$
(3) $(41,65,79,97)$
(4) $(46,65,79,92)$
(5) $(46,65,79,97)$