So it's going to be 2 minus the mean of means squared.

所以它将是 2 减去均方的平均值。

And the root mean square speed is slightly to the right of that.

和均方根速度 这个右边有点。

Hence the name: root mean square.

均方根。

Plus same thing for this guy, 2 minus the mean of mean squared.

加上对这个人来说同样的事情，2 减去均方的平均值。

And then the total variation from the mean, squared distances from the mean of the y, are 22.75.

然后与均值的总变异，与 y 均值的平方距离为 22. 75。

Today, you learned about the kinetic theory of gases, and how to calculate the root mean square speed.

今天，我们了解了气体的动力学理论， 以及我们如何计算均方根速度。

The square root of the average squared velocity is what we call the root mean square speed.

速率平方的平方根 就是我们所说的均方根速度。

So x sub i minus the mean squared.

所以 x sub i 减去均方。

I just took each of the data points minus the mean squared, added them all up.

我只是将每个数据点减去均方，然后将它们全部加起来。

So, how does the root mean square speed compare to the actual speeds of the molecules in the gas?

那么，rms 速度如何比较 气体中分子的正常速度？

Now, if you took x sub i minus the mean squared, 2.5 squared is what?

现在，如果你用 x sub i 减去均方，2. 5 的平方是多少？

And you see, I mean here, the distance from every number to the mean squared was 0.25.

你看，我的意思是，每个数字与均方的距离是 0.25。

So it's just e to the this whole thing over here, minus x minus the mean squared over 2 sigma squared.

所以这只是这里整个事情的 e，减去 x 减去 2 sigma 平方的均方。

And then for this guy, it's going to be the same thing-- his sample mean, 2 minus the mean of mean squared.

然后对于这个人来说，这将是同一件事——他的样本均值， 2 减去均方均值。

You can essentially take the average of the squares of all of the numbers in this case, a population, and then subtract from that the mean squared of your population.

在这种情况下，您基本上可以取所有数字的平方的平均值，即人口，然后从中减去人口的均方。

Find the square distance from each of these points to your sample mean, add them up, divide by n minus 1, because it's a sample, then take the square root, and you get your sample standard deviation.

求出这些点中的每一个与样本均值的平方距离，将它们相加， 除以 n 减 1， 因为它是一个样本，然后取平方根， 就得到了样本标准差。