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?

She can survey 15 of her friends in the school.

She can survey every sixth-grade student in the school.

She can randomly survey 50 girls in the entire school.

She can randomly survey 50 seventh-graders in the school.

Question

Mathematics

Amaris Romero

22 February, 18:06

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?

She can survey 15 of her friends in the school.

She can survey every sixth-grade student in the school.

She can randomly survey 50 girls in the entire school.

She can randomly survey 50 seventh-graders in the school.

+4

Answers (2)

Know the Answer?

Mary Jane · Answer 1

There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade

Stanley Aguirre · Answer 2

Answer: She can randomly survey 50 seventh-graders in the school.

Step-by-step explanation: To get the best result without wasting to much time means she cannot afford to survey every student. To receive the best results it should be unbiased so random is the way to go. Randomly surveying 50 girls in her school does not guarantee that those girls are all seventh graders so the best answer is She can randomly survey 50 seventh-graders in the school.