$Beth$ is interested in which students from her school catch public transport. Select whether the following sampling methods are likely to be biased or not.

Selecting every $10$10th person on the bus she catches.

Biased

Not biased

Selecting every $10$10th person on the student list.

Biased

Not biased

Selecting the first $50$50 students that arrive in the morning.

Biased

Not biased

Selecting by having a computer randomly choose student numbers.

Biased

Not biased

Medium

< 1min

$Georgia$ wants to know how the people in Australia are going to vote in an upcoming referendum. She selects $50$50 random people from her city to interview.

Why might this sampling give poor results?

Hard

< 1min

$Justin$ wants to know how the students at his school might vote for the next school captain. He leaves three flyers in each class to complete by whatever students want to complete them.

Why might this sampling give poor results?

Hard

< 1min

"Do you want a $soup$ for lunch or a sandwich?"

Easy

< 1min

Outcomes

M3.S.IC.A.1

Recognize the purposes of and differences among sample surveys, experiments, and observational studies.*

M3.S.IC.A.2

Identify potential sources of bias in statistical studies.*

M3.S.IC.A.3

Distinguish between a statistic and a parameter. Evaluate reports based on data and recognize when poor conclusions are drawn from well-collected data.*

M3.S.CP.B.4

Use the Law of Large Numbers to assess the validity of a statistical claim. *

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP5

Use appropriate tools strategically.

M3.MP6

Attend to precision.

6.06 Statistical studies and sampling

Interactive practice questions

Outcomes

M3.S.IC.A.1

M3.S.IC.A.2

M3.S.IC.A.3

M3.S.CP.B.4

M3.MP2

M3.MP3

M3.MP4

M3.MP5

M3.MP6

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