
Please explain how the correct answer of 57% is attained.
Questions 14 to 16 are based on the following data Ailine B’s average rating for convenience was approximately what percent greater than Airline A’s average rating for convenience? In a survey, 100 travel agents each ranked Airlines A. B.and C in order of preference. Each of the 100 travel agents also rated the three airlines in five categories on a scale of 1 through 10, with 10 being the best rating. 30% Su 36% 40% Distribution of Rankings 57% ACB 64% ABCBAC 34 18 20 20 Note: The notation ACB means A ranked 1st, C ranked 2nd, and B ranked 3rd. Average Rating Category Airline A Airline B Airline C 5.1 Convenience 8.0 4.3
Answer
we have to find B’s average rating of convenience is what
percentage greater than the A’s average rating of convenience so it
can be found as
(((B’s rating) – (A’s rating))/(A’s rating))*100
%
((8-5.1)/5.1)*100 %
= (2.9/5.1)*100 %
= 56.862 %
so it is approximately 57% greater