Question

A sample 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 non-representative sample?
A. A sample of 10 cards that includes 3 hearts, 3 clubs, 2 spades, and 2 diamonds.

B. A sample of 10 cards that includes 10 hearts.

C. A sample of 10 cards that include 3 hearts, 2 clubs, 2 spades, and 3 diamonds.

D. A sample of 10 cards that includes 2 hearts, 2 clubs, 2 spades, and 4 diamonds.

Answer 1

Answer : B. A sample of 10 cards that includes 10 hearts.

A representative sample is a small quantity that is similar to the large quantity.

It means small quantity should reflect the larger quantity.

For example in a classroom of 25 students having 10 girls and 15 boys.

The representative sample includes 4 students : 2 boys and 2 girls

Given :

A sample is drawn from a well-shuffled deck of cards that contains 13 hearts, 13 clubs, 13 spades, and 13 diamonds.

Options A, C and D reflects the given sample 13 hearts, 13 clubs, 13 spades, and 13 diamonds.

Option B includes only 10 hearts. clubs, spades and diamonds are not included. So this is the best example for non - representative sample.