MA19.A2.23

Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.23
Use mathematical and statistical reasoning about normal distributions to draw conclusions and assess risk; limit to informal arguments.

Unpacked Content

Knowledge

Students know:

Properties of a normal distribution.
Empirical Rule

Skills

Students are able to:

Draw accurate conclusions and assess risk using their knowledge of the normal distribution.

Understanding

Students understand that:

For a normal distribution, nearly all of the data will fall within three standard deviations of the mean.
The empirical rule can be broken down into three parts: 68% of data falls within the first standard deviation from the mean, 95% fall within two standard deviations. and 99.7% fall within three standard deviations.

Vocabulary

Normal distribution
Margin of error

COS Examples

Example: If candidate A is leading candidate B by 2% in a poll which has a margin of error of less than 3%, should we be surprised if candidate B wins the election?

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