Lesson Plan: Finding Means and Standard Deviations in Normal Distributions Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find an unknown mean and/or standard deviation in a normal distribution.
Objectives
Students will be able to
- standardize a normal distribution with an unknown mean and/or standard deviation,
- calculate an unknown mean and/or standard deviation of a data set given probabilities of random variables that are normally distributed,
- solve problems involving real-life contexts, given probabilities and values on the normal distribution curve where the mean and/or standard deviation is unknown.
Prerequisites
Students should already be familiar with
- facts and properties of the normal distribution, including its shape and symmetry,
- mean and standard deviation ,
- the standard normal distribution and how to standardize a normal distribution with a known mean and standard deviation,
- finding probabilities or values on the normal distribution curve,
- basic probability rules,
- simultaneous equations.
Exclusions
Students will not cover
- finding an unknown mean and/or standard deviation using tables,
- proving the normal distribution,
- hypothesis testing related to the normal distribution.
