Question

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average dollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent? For which store is the mean a better representation of the data? In two or more complete sentences, explain your answer.

Answer 1

So we first have to find the mean: 41+ 38+19+ 30 +21+ 53+34+34 + 37+ 29+ 50 + 43+ 57+ 28+ 50 = 534 534/15 = 35.60 
86+ 15+ 75+ 40+ 51+ 60+ 27+ 45+ 112+ 7+65+ 31+ 18+ 27+ 69 = 728728/15 = 48.53

Therefore, the store with the better representation of there data would be the competitor's store. This is because more money is being spent at the competitor's store which has an average of $49.00 when the owners store has an average of $36.00. 
Hope this helps.