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One-variable data: Distributions and measures of center and spread SAT question
Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.
| Country | Land area (square kilometers) |
| Monaco | 2.0 |
| Nauru | 21 |
| San Marino | 61 |
| Tuvalu | 26 |
| Vatican City | 0.44 |
The table above shows the land area, in square kilometers, of the five smallest countries of the world in 2016. Based on the table, what is the mean land area of the 5 smallest countries in 2016, to the nearest square kilometer?
ExplanationShow
Choice B is correct. The mean land area of these 5 countries is equal to the sum of the land areas of these countries, or , divided by the number of countries in the table, 5, or
. Combining like terms in the numerator yields
, which simplifies to 22.088 square kilometers. This value, when rounded to the nearest square kilometer, is 22.
Choice A is incorrect and may result from a calculation error. Choice C is incorrect. This is the greatest land area of the 5 countries in the table. Choice D is incorrect. This is the sum of the land areas of the 5 countries in the table, rounded to the nearest square kilometer.
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