Question

In a particular​ year, a total of N=849,903 ​college-bound seniors took the same aptitude test. Assume that the test scores are sorted from lowest to highest and that the sorted data set is ​{d1​,d2​,...,d849,903​}.

​(a) Determine the position of the median M.

​(b) Determine the position of the first quartile Q1.

​(c) Determine the position of the 60th percentile X60. (Small 60 below)

Answer 1

Total no students = 849 go3 a Median nti th team. 2 & 849 go4 2 Median = 42 4952 th term median = d 424,952 b nt I 899 got the term =212476 &i= 212476 th term = d 212,476 60th percentile 760 = 49903 X 0.60 X60= 509941.8 X 60 = 5099 42 th term crounded to nearest whole number) X60-d509,942