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curriculum/challenges/italian/10-coding-interview-prep/rosetta-code/averages-root-mean-square.md

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+---
+id: 594da033de4190850b893874
+title: Averages/Root mean square
+challengeType: 5
+forumTopicId: 302228
+dashedName: averagesroot-mean-square
+---
+
+# --description--
+
+Compute the [Root mean square](<https://en.wikipedia.org/wiki/Root mean square> "wp: Root mean square") of the numbers 1 through 10 inclusive.
+
+The *root mean square* is also known by its initials RMS (or rms), and as the **quadratic mean**.
+
+The RMS is calculated as the mean of the squares of the numbers, square-rooted:
+
+$$x\_{\\mathrm{rms}} = \\sqrt {{{x_1}^2 + {x_2}^2 + \\cdots + {x_n}^2} \\over n}. $$
+
+# --hints--
+
+`rms` should be a function.
+
+```js
+assert(typeof rms === 'function');
+```
+
+`rms([1, 2, 3, 4, 5, 6, 7, 8, 9, 10])` should equal `6.2048368229954285`.
+
+```js
+assert.equal(rms(arr1), answer1);
+```
+
+# --seed--
+
+## --after-user-code--
+
+```js
+const arr1 = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10];
+const answer1 = 6.2048368229954285;
+```
+
+## --seed-contents--
+
+```js
+function rms(arr) {
+
+}
+```
+
+# --solutions--
+
+```js
+function rms(arr) {
+  const sumOfSquares = arr.reduce((s, x) => s + x * x, 0);
+  return Math.sqrt(sumOfSquares / arr.length);
+}
+```