A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
Answer
A
The representative sample contained all 200 tourists.
B
The representative sample contained an equal number of adults and children.
C
The representative sample contained more children than adults.
D
The representative sample contained more adults than children.
Explanation
A representative sample should have roughly the same proportions of adults and children as the full group. Adults make up 150 of 200 tourists, or 75%, while children make up 25%. So the sample was most likely to contain more adults than children. Choice D, “more adults than children,” is correct.
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