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AssignmentMultiple Choice

Sampling Methods

Question 1 • CR02201A Probability and Statistics

Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 girls and boys in seventh grade. Which is the best way for Cheryl to get a representative sample without spending too much time?

Answer
A
She can survey 15 of her friends in the school.
B
She can survey every sixth-grade student in the school.
C
She can randomly survey 50 girls in the entire school.
D
She can randomly survey 50 seventh-graders in the school.

Explanation

Cheryl wants information about seventh-graders, so her sample should come from that group. Randomly surveying 50 seventh-graders gives a reasonably sized sample that represents the population better than surveying only friends or students from another grade. Surveying 50 girls from the entire school would leave out boys and include students outside seventh grade.

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