The World Is Maths


normal distribution

Continuous Random Variables (Desmos)

I dislike education acronyms, but I can make exceptions for mathematical ones.  One of my favourite topics in A-level Maths is full to bursting with them: DRVs, CRVs, PDF, CDF.  This is a visual representation of the CDF (cumulative distribution function) of a CRV (continuous random variable), which is the function for the area under the curve from x=-∞ to any other value, a, or more specifically, P(X<a).  Take note of the syntax for piecewise functions. Continue reading “Continuous Random Variables (Desmos)”

The Normal Distribution (Desmos)

Last year I made a couple of models on Desmos to demonstrate aspects of the normal distribution to my statistics students.

1.  Standardising

In this first one, you can set a normal distribution with any mean and standard deviation and then show what happens when you subtract μ and divide by σ to standardise the distribution (to do this, simply move the sliders).  It’s great because students can now visualise the procedure they are carrying out. Continue reading “The Normal Distribution (Desmos)”

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