Each of the people in a survey chose one of the four countries shown as the country that person wanted to visit. The incomplete table shows the results of the survey. What fraction of the people surveyed chose Australia?
One-fifth of the surveyed people chose Australia as their desired country to visit.
In the survey results, Australia received a total of 3 out of 15 votes, which simplifies to 1 out of 5 when expressed as a fraction. This indicates that 1/5 of the participants expressed a preference for visiting Australia.
This choice suggests that only one person out of 15 chose Australia, which is incorrect. The total number of votes for Australia was 3, not 1. Therefore, this option does not accurately reflect the survey results.
This is the correct answer, as 3 votes for Australia out of a total of 15 participants simplifies to 1/5. This accurately reflects the proportion of people who chose Australia as their preferred destination.
This option implies that 3 out of 20 people chose Australia, which does not align with the total number of survey participants, which was 15. The correct fraction should be based on the total surveyed, hence this choice is incorrect.
This choice indicates that 17 out of 20 people chose Australia, which is significantly higher than the actual count of 3 votes. This misrepresentation of the data leads to an incorrect conclusion about the survey results.
In summary, the fraction of people who selected Australia in the survey is accurately represented by 1/5, derived from the 3 votes cast for Australia out of a total of 15 participants. The other choices misinterpret the survey data, either by miscounting the votes or by incorrectly relating the total number of surveyed individuals. Understanding the correct fraction is essential for accurately interpreting survey results.
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