Exploring Random Sampling in Surveys

The video tutorial covers the concept of surveys in mathematics, focusing on determining if a survey is representative of a population, whether it is random or biased, and how to use surveys to make inferences and predictions. It includes definitions of key terms like population, random sample, and unbiased sample, and provides real-world examples to illustrate these concepts. The tutorial also guides students on selecting the best random sample and using survey data to draw inferences and make predictions.

What is a population in the context of surveys?

• A group of teachers

• A set of people or things to study

• A biased sample

• A random selection of students

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CCSS.HSS.IC.B.3

What is a random sample?

• A sample that includes only sports players

• A sample that is biased

• A sample where every entry has an equal chance of being selected

• A sample chosen by the teacher

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

In the example of Central Middle School, what is the population?

• All teachers

• 923 students

• 180 students

• 55 students

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CCSS.HSS.IC.A.1

CCSS.7.SP.A.1

Why is surveying the basketball team not a good random sample?

• It includes only students who like sports

• It includes only teachers

• It includes all students

• It is too small

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

Which method is the best random sample for determining lunch options?

• Every grade eight student during lunch

• Every fifth student who arrives by car

• Five random students from every band class

• Three random students from every home room

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CCSS.6.RP.A.3B

How many students out of 375 will most likely prefer to work on a group project if 16 out of 25 surveyed prefer it?

• 375

• 16

• 150

• 240

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CCSS.7.SP.A.2

What is the first step in drawing an inference from survey data?

• Choosing a biased sample

• Asking more students

• Using the data to set up a proportion

• Ignoring the data

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CCSS.6.RP.A.3B

If 119 out of 150 students prefer an ice cream truck, how many out of 2976 will likely prefer it?

• 2976

• 150

• 119

• 2361

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CCSS.HSS.IC.B.3

What is the purpose of using a random sample in surveys?

• To focus on a specific group

• To make the survey easier

• To include only the best students

• To ensure fairness and representativeness

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

What can be inferred if a survey is conducted randomly and without bias?

• The results can be used to predict the preferences of the entire population

• The results are biased

• The results are not useful

• The survey needs to be repeated

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1