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# Normal Distributions

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Levels are CK12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Normal Distributions

by CK-12 //basic

Determine if a data set approximates a normal distribution.

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## Normal Distributions

This Concept introduces students to the standard normal probability distribution.

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• Video

## Normal Distributions Principles

by CK-12 //basic

This video gives more detail about the mathematical principles presented in Normal Distributions.

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• Video

## Normal Distributions Examples

by CK-12 //basic

This video shows how to work step-by-step through one or more of the examples in Normal Distributions.

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## Standard Normal Distribution

Explains how the normal distribution relates to standard deviation and z-scores.

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## Normal Distribution Problems: Qualitative Sense of Normal Distributions

Explains how to tell which real world example would follow a normal distribution.

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## Normal Distribution Problems: z-score

Explains how to find a z-score for a given data point when you know the mean and standard deviation of the entire normal distribution.

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## Normal Distributions and the Empirical Rule

by CK-12 //basic

Explains how to use the empirical rule, also known as the 68-95-99.7 rule, to calculate certain normal distribution probabilities. That's right! You don't always need a calculator!

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## Exercise: Standard Normal Distribution and the Empirical Rule

Adjusts the empirical rule to determine the area to left or right of certain points on the normal distribution curve.

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## More Empirical Rule and Z-Score practice

Walks through the steps to solve problems involving the normal distribution with use of the empirical rule and z-scores.

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## Normal Distribution Problems: Qualitative Sense of Normal Distributions

Explains how to tell which real world example would follow a normal distribution.

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• Video

## Normal Distribution Problems: z-score

Explains how to find a z-score for a given data point when you know the mean and standard deviation of the entire normal distribution.

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• Video

## Exercise: Standard Normal Distribution and the Empirical Rule

Adjusts the empirical rule to determine the area to left or right of certain points on the normal distribution curve.

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• Lesson Plan

## Normal Distributions Lesson Plan

by CK-12 //basic

This lesson plan covers Normal Distributions and includes Teaching Tips, Common Errors, Differentiated Instruction, Enrichment, and Problem Solving.

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• Practice

## Normal Distributions Practice

by CK-12 //basic

Practice Normal Distributions questions

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• Critical Thinking

## Normal Distributions Discussion Questions

A list of student-submitted discussion questions for Normal Distributions.

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To stress understanding of a concept by summarizing the main idea and applying that understanding to create visual aids and generate questions and comments using a Concept Matrix.

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To activate prior knowledge, make personal connections, reflect on key concepts, encourage critical thinking, and assess student knowledge on the topic prior to reading using a Quickwrite.

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• Real World Application

## Normal Distribution

Students will investigate why and how the SAT is scored to correspond with a normal distribution curve.

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• Real World Application

## Normal Distribution - Answer Key

Students will investigate why and how the SAT is scored to correspond with a normal distribution curve. Answer Key.

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• Study Guide

## Normal Distribution Study Guide

This study guide looks at characteristics of a normal distribution curve, the empirical rule, z-score, standardizing normal curve, and approximating binomial distribution.

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## Empirical Rule Demonstration

A simulation demonstrating the empirical rule.

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• Flashcards