2020 AMC 8 Problems/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?
Solution 1
We can see that the dotted line is halfway between and , so is at . As this is the average population of all cities, the total population is simply .
We can see that between 4000 and 6000 There are three number ticks. This means that the number is slightly below 5000, or it is 4750. To find the opposite of an average, you do the opposite algorithm. We multiply 4750 by 20 and we get 10500 so the answer is E
Solution 2 (estimation)
The dashed line, which represents the average population of each city, is slightly below . Since there are cities, the answer is slightly less than
Video Solution
See also
2020 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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