Web Reference: Dec 27, 2025 · Normal distribution is a continuous probability distribution that is symmetric about the mean, depicting that data near the mean are more frequent in occurrence than data far from the mean. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. [5][6] Their importance is partly due to the central limit theorem. Mar 19, 2025 · Every standard normal curve has identical properties once standardized, allowing statisticians to use standard tables and z-scores to make precise probability statements. This standardization transforms any normal distribution into a powerful analytical tool.
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