Student’s T Distribution PDF Calculator
Enter a t‑value and degrees of freedom to compute the PDF. The graph below shows the PDF curve.
e.g., 1.5
e.g., 10
PDF at t = 1.5:
How It Works
The Student’s T PDF is computed using:
$$ f(t;\nu)= \frac{\Gamma\Bigl(\frac{\nu+1}{2}\Bigr)}{\sqrt{\nu\pi}\,\Gamma\Bigl(\frac{\nu}{2}\Bigr)} \Bigl(1+\frac{t^2}{\nu}\Bigr)^{-\frac{\nu+1}{2}}. $$
The graph plots this PDF over a range of t‑values (from –5 to 5). The computed PDF at your input t‑value is highlighted.
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