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.

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?

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
ALSDE LOGO