2020 AMC 8 Problem 14

Attempt Problem 14 of the 2020 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

14.

There are 2020 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 2020 cities?
65,00065{,}000
75,00075{,}000
85,00085{,}000
95,00095{,}000
105,000105{,}000
Answer: D
Concepts:meandata and graph interpretation
Small hint:
The dashed line is just under 50005000
Big hint:
Total population = average population times 2020
Video solution:
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Written solution:
Looking at the horizontal dashed line, the average population is around 4750.4750.
Since there are 2020 cities, the total population is approximately 20⋅4750=95,000.20\cdot4750=95{,}000.
Therefore, the total population is approximately 95,000.95{,}000.
Thus, the correct answer is D.
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