¶ 2020 AMC8 Problem 14
Problem:
There are cities in the County of Newton. Their populations are shown in the bar chart below. The average population of all the cities is indicated by the horizontal dashed line. Which of the following is closest to the total population of all cities?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The total population of all the cities equals the number of cities multiplied by the average city population. There are cities, and the dashed line shows that the average population is between and . It follows that the total population of the cities is between and Only choice is within of the actual total population.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions