Math Arguments

Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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Item 191

Sensible or Not? Sampling

Defend your answer! Here's your claim ... what's your warrant?

Give an example or a situation to bolster your position.


  1. For a high school project, I conducted a census to determine the average rate that teenagers charge for babysitting. 

  2. Even though the study used a convenience sample, the results may be meaningful. 

  3. The study must have been biased, because it concluded that the 75% of Americans are more than 6 feet tall. 

  4. We obtained a simple random sample of milk-producing cows in Jefferson County by drawing the names of 50 dairy farms from a hat and asking the owners of those farms to select three cows for us to study. 

  5. A good strategy for stratified sampling involves first using simple random sampling to choose 500 people, then randomly dividing them into ten groups of 50 to represent the 10 strata. 

  6. Although the study was conducted with a representative sample and careful analysis, the conclusions still reflect the researcher's anti-death penalty bias. 


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