Lesson Plan: Finding Means and Standard Deviations in Normal Distributions | Nagwa Lesson Plan: Finding Means and Standard Deviations in Normal Distributions | Nagwa

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Lesson Plan: Finding Means and Standard Deviations in Normal Distributions Mathematics

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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 𝜇 and standard deviation 𝜎,
  • 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.

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