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.

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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
Difficulty rating: 870
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 204750=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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