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and change all the challenges to new `md` format.
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Oliver Eyton-Williams
2020-11-27 19:02:05 +01:00
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curriculum/challenges/english/10-coding-interview-prep/rosetta-code/averages-pythagorean-means.md
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@ -1,14 +1,16 @@
---
title: Averages/Pythagorean means
id: 594d966a1467eb84194f0086
title: Averages/Pythagorean means
challengeType: 5
forumTopicId: 302227
---
## Description
<section id='description'>
Compute all three of the <a class='rosetta__link--wiki' href='https://en.wikipedia.org/wiki/Pythagorean means' title='wp: Pythagorean means' target="_blank">Pythagorean means</a> of the set of integers <big>1</big> through <big>10</big> (inclusive).
Show that <big>$A(x_1,\ldots,x_n) \geq G(x_1,\ldots,x_n) \geq H(x_1,\ldots,x_n)$</big> for this set of positive integers.
# --description--
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}$</big></li>
@ -17,11 +19,11 @@ Show that <big>$A(x_1,\ldots,x_n) \geq G(x_1,\ldots,x_n) \geq H(x_1,\ldots,x_n)$
<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>
</section>
## Instructions
<section id='instructions'>
# --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
@ -35,38 +37,23 @@ For the answer, please output an object in the following format:
}
```
</section>
# --hints--
## Tests
<section id='tests'>
```yml
tests:
- text: <code>pythagoreanMeans</code> should be a function.
testString: assert(typeof pythagoreanMeans === 'function');
- text: <code>pythagoreanMeans([1, 2, ..., 10])</code> should equal the same output above.
testString: assert.deepEqual(pythagoreanMeans(range1), answer1);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
`pythagoreanMeans` should be a function.
```js
function pythagoreanMeans(rangeArr) {
}
assert(typeof pythagoreanMeans === 'function');
```
</div>
`pythagoreanMeans([1, 2, ..., 10])` should equal the same output above.
```js
assert.deepEqual(pythagoreanMeans(range1), answer1);
```
### After Test
<div id='js-teardown'>
# --seed--
## --after-user-code--
```js
const range1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];
@ -78,16 +65,17 @@ const answer1 = {
},
test: 'is A >= G >= H ? yes'
};
```
</div>
## --seed-contents--
</section>
```js
function pythagoreanMeans(rangeArr) {
## Solution
<section id='solution'>
}
```
# --solutions--
```js
function pythagoreanMeans(rangeArr) {
@ -152,7 +140,4 @@ function pythagoreanMeans(rangeArr) {
mean.Geometric >= mean.Harmonic ? 'yes' : 'no'}`
};
}
```
</section>