Find the ranks corresponding to the ages of five statistics professors when they were hired: $47,51,47,47,48$
A) $2,4,2,2,3$
B) $1,3,1,1,2$
C) $2,5,2,2,4$
D) $3,5,3,3,4$

Question

Quizplus · Accepted Answer

To find the ranks, we need to sort the ages in ascending order and assign ranks starting from 1. The age 47 appears three times, so these three individuals will share the same rank, which is the average of the ranks they would have taken otherwise. Thus, the sorted list of ages and corresponding ranks is:
$$47,47,47,48,51 \Rightarrow 2.33,2.33,2.33,4,5$$ 
Rounding to the nearest integer, we get the ranks as 2, 2, 2, 4, 5, which corresponds to choice C.

Find the Ranks Corresponding to the Ages of Five Statistics 47,51,47,47,4847,51,47,47,4847,51,47,47,48

Find the Ranks Corresponding to the Ages of Five Statistics $47,51,47,47,48$