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Normal Distribution

Videos and lessons with examples and solutions to help High School students learn how to use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve.


Common Core: HSS-ID.A.4

What is a "Standard Normal Distribution"?
Both a "normal distribution" and "standard normal distribution" are discussed/defined.

Normal Distribution & Z-scores
This video shows how to calculate "inside areas" and "areas in the extreme" in a normal distribution using Z-scores.

Introduction to the Normal Distribution - using a spreadsheet.

The Normal Distribution and the 68-95-99.7 Rule
This video talks about the normal distribution and what percentage of observed values fall within either 1, 2, or 3 standard deviations from the mean. One specific example is discussed.

Normal Distribution Practice Problems.

Excel Normal Distribution Calculations
This video shows how to calculate the area to the left of a z-score using EXCEL. It also shows how to get a z-score with the probability, mean and standard deviation. It can be expanded for more calculations.

Normal Distribution - Explained Simply (part 1)
This video describes the standard normal distribution and its properties with respect to the percentage of observations within each standard deviation. It also makes reference to two key statistical demarcation points (i.e., 1.96 and 2.58) and their relationship to the normal distribution. Finally, I mention two tests that can be used to test normal distributions for statistical significance.

Normal Distribution - Explained Simply (part 2).

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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