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Problem 11 Easy Difficulty

Determine whether each situation would produce a random sample. Write yes or no and explain your answer.
finding the heights of all the boys on the varsity basketball team to determine the average height of all the boys in your school

Answer

Therefore, a sample of a basketball player would not give representative heights for the whole school.

Discussion

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Video Transcript

we're being asked Teoh, look at a situation and decide if we think it could produce a random sample or not. In this specific situation, we're being asked to fighting. The heights of all the boys on the varsity basketball team could be used to determine the average height of all the boys in your school. To me, the way you determine if something can give you a random sample is between with was two main questions. 1st 1 would be How are people being picked for this study or survey? And then, after you've established that, the other question is who or what is this survey supposed to represent? If the way people are being picked allows everyone that that group is supposed to represent an equal chance of being picked, then it's a random sample. So let's look at this problem. How are people being picked? Well, it says that you are finding the height specifically of the boys on the varsity basketball team, So the way people are being picked for this is if they're on the varsity basketball team, all right, that's that's who were using to pick from, apparently, Oops, I can't spell team, apparently, you think the long word of basketball would be the one that I'd have trouble spelling? Then we had asked, What is the study supposed to represent, or who? Well, it says this is being done to determine the average height of boys of all the boys in your school. So the question for us to ask, then is Do we think that the varsity basketball team is a representation of the entire school, right, if we're doing if we're supposed to determine the average height of all the boys in school, then for this to be a random sample, every boy in school would have to have an equal chance of being picked. Well, in this case, the answer is definitely no, not a random sample, because not every boy in the school is going to be able to be on the varsity basketball team, right? Dubbing it. A varsity basketball team would implicate that there must be a junior varsity basketball team. So even if every single boy in the school plays basketball, which is highly unlikely anyways. But even if they do, if there's a farce eating, there must be a JV, which means there's at least some boys that still, even if they play basketball on Tom Varsity. So there's just no way that we could possibly say that the varsity basketball team represents every single boy in school.

University of Central Missouri
Top Algebra Educators
Heather Z.

Oregon State University

Alayna H.

McMaster University

Caleb E.

Baylor University

Michael J.

Idaho State University