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Percentages SAT question
Math · Problem-Solving and Data Analysis · Hard · Answer it here, explanation included.
According to the 2010 Census, the adult population aged 18 years or greater of the United States in 2010 was 234,564,071. In 2010, a survey was conducted among a randomly chosen sample of adults aged 18 years or greater in the United States about their preference to live in a warm climate or a cool climate. The table below displays a summary of the survey results.
| Warm | Cool | No preference | Total | |
|---|---|---|---|---|
| 18–35 years old | 295 | 168 | 45 | 508 |
| 36–50 years old | 246 | 123 | 41 | 410 |
| 51–65 years old | 238 | 117 | 48 | 403 |
| Greater than 65 years old | 137 | 78 | 64 | 279 |
| Total | 916 | 486 | 198 | 1,600 |
Which of the following is closest to the difference between the percentage of adults aged 18–50 years who responded “warm” and the percentage of adults aged 51 years or greater who responded “warm”?
ExplanationShow
Choice A is correct. The percentage of adults aged 18–50 who responded “warm” is 
, or about 58.9%. The percentage of adults aged 51 years or greater who responded “warm” is 
, or about 55.0%. The difference between 58.9% and 55.0% is 3.9%. Of the answer choices, 4% is closest to this number.
Choices B, C, and D are incorrect and may result from calculation errors.
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