This is a depiction of what we used to think of as the normal distribution of temperatures.

这是我们之前使用的温度常态分布图。

Anyway, hopefully that'll give you a good feel for the normal distribution.

无论如何，希望这会让您对正态分布有一个良好的感觉。

And it actually turns out, for the normal distribution, this isn't an easy thing to evaluate analytically.

事实上，对于正态分布，这不是一件容易分析评估的事情。

You take the square root of that thing, and invert it, and that's the normal distribution.

你取那个东西的平方根，然后倒过来，这就是正态分布。

His name also graces the Gaussian distribution, also known as the normal distribution or bell curve, a fundamental tool in the natural and social sciences.

他的名字也为高斯分布增光添彩，高斯分布也称为正态分布或钟形曲线，是自然科学和社会科学的基本工具。

The Gaussian distribution or the normal distribution, they're two words for the same thing.

高斯分布或正态分布，它们是同一事物的两个词。

So this is problem number five from the normal distribution chapter from ck12.

这是 ck12 正态分布章节中的第五个问题。

You can only have a finite number of values, while the normal distribution is defined over the entire real number line.

您只能拥有有限数量的值，而正态分布是在整个实数线上定义的。

Or it's 95% of the area under the normal distribution.

或者它是正态分布下 95% 的区域。

And then, in a few videos from now I'll show you the continuous cases, which is the normal distribution.

然后，在接下来的几个视频中， 我将向您展示连续案例， 这就是正态分布。

So that's what the normal distribution, I guess the probability density function for the normal distribution looks like.

这就是正态分布，我猜正态分布的概率密度函数应该是这样的。

And hopefully we see now that this really comes from a Z-score and the T-distribution is kind of an engineered version of the normal distribution using T-statistics.

希望我们现在看到这真的来自 Z 分数，而 T 分布是使用 T 统计的正态分布的工程版本。

Once again the whole point of this is to see that the normal distribution is a good approximation.

再一次，这一切的重点是看到正态分布是一个很好的近似值。

The normal distribution function is a continuous probability distribution so it's a continuous curve.

正态分布函数是连续概率分布，因此它是一条连续曲线。

There's also the binomial distribution and the normal distribution, which is what some people call the Gaussian or the bell curve.

还有二项分布和正态分布，也就是一些人所说的高斯分布或钟形曲线。

I'll ignore that because the normal distribution is so important.

我会忽略它，因为正态分布非常重要。

Now what I wanted to show you is that the normal distribution approximates the binomial distribution.

现在我想告诉你的是，正态分布近似于二项分布。

Everything we do, or almost everything we do in inferential statistics, which is essentially making inferences based on data points, is to some degree based on the normal distribution.

我们所做的一切， 或者我们在推论统计中所做的几乎所有事情，本质上是根据数据点进行推论， 在某种程度上都是基于正态分布的。

He might pick up something about the normal distribution.

他可能会学到一些关于正态分布的东西。

And so what I want to do in this video and in this spreadsheet is to essentially give you as deep an understanding of the normal distribution as possible.

所以我想在这个视频和这个电子表格中做的是让你尽可能深入地了解正态分布。