Q:

# 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, 50He 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, 69What 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.

Accepted Solution

A:
Answer:The average spent at his store is of $37.60.The average spent at his competitor's store is of$48.53.Step-by-step explanation:Average of a data set:The mean of a data set is the sum of all values divided by the number of values.His store:15 orders. Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50The average is:$$M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6$$The average spent at his store is of $37.60.Store of the competitor:15 ordersPrices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 The average is:$$M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53$$The average spent at his competitor's store is of$48.53.