Question

A simple is drawn from a well-shuffled deck of cards that contains 13 hearts, 13 clubs, 13 spades, and 13 diamonds. What is the best example of a representative sample?

A. A sample of 10 cards that includes 3 hearts, 2 clubs, 2 spades, and 3 diamonds.
B. A sample of 10 cards that includes 1 heart, 1 club, 1 spade, 1 diamond, and the other 6 cards can be of any suit.
C. A sample of 10 cards that includes 2 hearts, 1 club, 4 spades, and 3 diamonds.
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Answer 1

The best example of a representative sample would be option B: A sample of 10 cards that includes 1 heart, 1 club, 1 spade, 1 diamond, and the other 6 cards can be of any suit.

Explanation:

This is because a representative sample should reflect the proportions of the entire population being sampled. In this case, the population is a deck of cards with 13 cards of each suit. Option B includes one card of each suit, which represents the proportion of each suit in the population. The other 6 cards can be of any suit, which allows for some variability in the sample while still maintaining the proportional representation of the population. Options A and C do not have a proportional representation of each suit, so they are not as good examples of a representative sample.