Unpacked Content
Knowledge
Students know:
- a random sample can be found by various methods, including simulations or a random number generator.
- Samples should be the same size in order to compare the variation in estimates or predictions.
Skills
Students are able to:
- determine whether a sample is random or not and justify their reasoning.
- Use the center and variability of data collected from multiple same-size samples to estimate parameters of a population.
- Make inferences about a population from random sampling of that population.
- Informally assess the difference between two data sets by examining the overlap and separation between the graphical representations of two data sets.
Understanding
Students understand that:
- statistics can be used to gain information about a population by examining a sample of the populations.
- Generalizations about a population from a sample are valid only if the sample is representative of that population.
- Random sampling tends to produce representative samples and support valid inferences
- The way that data is collected, organized and displayed influences interpretation.
Vocabulary
- Population
- Sample
- biased
- Unbiased
- Sampling techniques
- Random sampling
- Representative samples
- Inferences
