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---
id: 594d966a1467eb84194f0086
title: 平均值 - 毕达哥拉斯指的是
title: Averages/Pythagorean means
challengeType: 5
videoUrl: ''
forumTopicId: 302227
dashedName: averagespythagorean-means
---
# --description--
<p class='rosetta__paragraph'>计算整数<big>1</big><big>10</big> (包括)的所有三个<a class='rosetta__link--wiki' href='https://en.wikipedia.org/wiki/Pythagorean means' title='wp毕达哥拉斯意味着'>毕达哥拉斯方法</a></p><p class='rosetta__paragraph'>为这组正整数显示<big>$ Ax_1\ ldotsx_n\ geq Gx_1\ ldotsx_n\ geq Hx_1\ ldotsx_n$</big></p>这三种方法中最常见的<a class='rosetta__link--rosetta' href='http://rosettacode.org/wiki/Averages/Arithmetic mean' title='平均值/算术平均值'>算术平均值</a>是列表的总和除以其长度: <big>$ Ax_1\\ ldotsx_n= \\ frac {x_1 + \\ cdots + x_n} {n} $</big> <a class='rosetta__link--wiki' href='https://en.wikipedia.org/wiki/Geometric mean' title='wp几何平均值'>几何mean</a>是列表产品的$ n $ th根 <big>$ Gx_1\\ ldotsx_n= \\ sqrt \[n] {x_1 \\ cdots x_n} $</big> <a class='rosetta__link--wiki' href='https://en.wikipedia.org/wiki/Harmonic mean' title='wp谐波意味着'>调和平均值</a>是$ n $除以总和列表中每个项目的倒数: <big>$ Hx_1\\ ldotsx_n= \\ frac {n} {\\ frac {1} {x_1} + \\ cdots + \\ frac {1} {x_n}} $</big> <p class='rosetta__paragraph'>假设输入是包含所有数字的有序数组。 </p><p class='rosetta__paragraph'>要获得答案,请按以下格式输出对象: </p><pre class='rosetta__pre'> {
值:{
算术5.5
几何4.528728688116765
谐波3.414171521474055
}
测试:'是A> = G> = H是'
Compute all three of the [Pythagorean means](https://en.wikipedia.org/wiki/Pythagorean means "wp: Pythagorean means") of the set of integers $1$ through $10$ (inclusive).
Show that $A(x_1,\\ldots,x_n) \\geq G(x_1,\\ldots,x_n) \\geq H(x_1,\\ldots,x_n)$ for this set of positive integers.
<ul>
<li>The most common of the three means, the <a class='rosetta__link--rosetta' href='https://rosettacode.org/wiki/Averages/Arithmetic mean' title='Averages/Arithmetic mean' target='_blank'>arithmetic mean</a>, is the sum of the list divided by its length:<br>
<big>$ A(x_1, \ldots, x_n) = \frac{x_1 + \cdots + x_n}{n}$</big></li>
<li>The <a class='rosetta__link--wiki' href='https://en.wikipedia.org/wiki/Geometric mean' title='wp: Geometric mean' target='_blank'>geometric mean</a> is the $n$th root of the product of the list:<br>
<big>$ G(x_1, \ldots, x_n) = \sqrt[n]{x_1 \cdots x_n} $</big></li>
<li>The <a class='rosetta__link--wiki' href='https://en.wikipedia.org/wiki/Harmonic mean' title='wp: Harmonic mean' target='_blank'>harmonic mean</a> is $n$ divided by the sum of the reciprocal of each item in the list:<br>
<big>$ H(x_1, \ldots, x_n) = \frac{n}{\frac{1}{x_1} + \cdots + \frac{1}{x_n}} $</big></li>
</ul>
# --instructions--
When writing your function, assume the input is an ordered array of all inclusive numbers.
For the answer, please output an object in the following format:
```js
{
values: {
Arithmetic: 5.5,
Geometric: 4.528728688116765,
Harmonic: 3.414171521474055
},
test: 'is A >= G >= H ? yes'
}
</pre>
```
# --hints--
`pythagoreanMeans`是一种功能。
`pythagoreanMeans` should be a function.
```js
assert(typeof pythagoreanMeans === 'function');
```
`pythagoreanMeans([1, 2, ..., 10])`应该等于上面相同的输出。
`pythagoreanMeans([1, 2, ..., 10])` should equal the same output above.
```js
assert.deepEqual(pythagoreanMeans(range1), answer1);