MA121: Comparing Normal and Student's t-Distributions

Watch this video to see how the standard normal distribution compares to the t distribution as the degrees of freedom change. When are the two curves the same? How does increasing the degrees of freedom change the t distribution?

The standard normal distribution (blue) with mean 0 and standard deviation 1 and Student's -distribution (red) become very similar as the degrees of freedom for the -distribution increase. The left panel displays the two probability density functions (PDFs) and the right panel displays the two cumulative distribution functions (CDFs).

Source: Gary McClelland, https://demonstrations.wolfram.com/ComparingNormalAndStudentsTDistributions/
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Last modified: Friday, 11 July 2025, 12:45 PM

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