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How to calculate the mean and standard deviation from a normal distribution?

Normal distribution: Finding the mean and standard deviation

In this tutorial you are shown how to calculate the mean and standard deviation from a normal distribution using the following example.

A high jumper knows from experience that she can clear a height of at least 1.78m once in 5 attempts. She also knows that she can clear a height of at least 1.65m on 7 out of 10 attempts.

Find to 3 dp the mean and standard deviation of the heights the jumper can reach

This is the second part to finding the mean and standard deviation from a Normal distribution.

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, it mentions two tests that can be used to test normal distributions for statistical significance.

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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.