Normal Mean Posterior Calculator (Known Variance)

The Normal Distribution (Known Variance)

\[ f(x \mid \mu, \sigma^2) = \frac{1}{\sqrt{2\pi\sigma^2}} e^{ -\frac{(x - \mu)^2}{2\sigma^2} } \]

The normal distribution models continuous data with a bell-shaped curve. When the variance (σ²) is known, the posterior distribution of the mean (μ) is also normal.

If you have observed data and know the variance, you can use this calculator to compute the posterior probability distribution of the mean (μ) for the process.