Prompt Title: 正态分布

Created 1 year ago
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Human: 什么是正态分布
ChatGPT:

正态分布（Normal Distribution）也被称为高斯分布（Gaussian Distribution），是一种连续型的概率分布，通常被用来描述自然界中各种随机变量的分布，例如身高、体重、智商等等。

正态分布的概率密度函数具有一个钟形曲线，它的均值、方差是其唯一的两个参数，均值决定了钟形曲线的中心位置，方差决定了钟形曲线的宽度，越大则越宽。正态分布的均值、中位数和众数都相等。

正态分布具有许多重要的性质，例如，68% 的数据落在均值附近的一个标准差范围内，95% 的数据落在均值附近两个标准差的范围内，99.7% 的数据落在均值附近三个标准差的范围内。正态分布在统计学、自然科学、社会科学等领域中都有广泛的应用。

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