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Calculating the Mean and Variance of a Normal Distribution | Year 2 Stats | A Level Maths

Finding the parameters of a normal distribution from given probabilities is a classic A-level technique that combines the inverse normal with simultaneous equations. In this lesson you will learn how to standardise using Z = (X — mu) / sigma where X ~ N(mu, sigma^2), set up simultaneous equations from given probability statements, and solve for mu and sigma. The lesson notes the symmetry of the distribution and the points of inflection at x = mu +/- sigma.

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Lesson Video On Calculating the Mean and Variance of a Normal Distribution

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Lesson Resources For Calculating the Mean and Variance of a Normal Distribution

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