MA19.7.10

Mathematics (2019) Grade(s): 7

MA19.7.10
Examine a sample of a population to generalize information about the population.

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

Aligned Learning Resources

Human Performance & Sampling

Design by Adaptive Theme