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