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The orientation fluctuations of the director of a liquid crystal are measured by a sensitive polarization interferometer, close to the Fréedericksz transition, which is a second-order transition driven by an electric field. We show that near the critical value of the field the spatially averaged order parameter has a generalized Gumbel distribution instead of a Gaussian distribution. The latter is recovered away from the critical point. We also show that after a quench at the critical point the system presents ageing properties.