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id	title	challengeType	forumTopicId	dashedName
5a23c84252665b21eecc7e03	Cumulative standard deviation	5	302240	cumulative-standard-deviation

--description--

Write a function that takes an array of numbers as parameter and returns the standard deviation of the series.

--hints--

standardDeviation should be a function.

assert(typeof standardDeviation == 'function');

standardDeviation([2, 4, 4, 4, 5, 5, 7, 9]) should return a number.

assert(typeof standardDeviation([2, 4, 4, 4, 5, 5, 7, 9]) == 'number');

standardDeviation([2, 4, 4, 4, 5, 5, 7, 9]) should return 2.

assert.equal(standardDeviation([2, 4, 4, 4, 5, 5, 7, 9]), 2);

standardDeviation([600, 470, 170, 430, 300]) should return 147.323.

assert.equal(standardDeviation([600, 470, 170, 430, 300]), 147.323);

standardDeviation([75, 83, 96, 100, 121, 125]) should return 18.239.

assert.equal(standardDeviation([75, 83, 96, 100, 121, 125]), 18.239);

standardDeviation([23, 37, 45, 49, 56, 63, 63, 70, 72, 82]) should return 16.87.

assert.equal(
  standardDeviation([23, 37, 45, 49, 56, 63, 63, 70, 72, 82]),
  16.87
);

standardDeviation([271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287, 314]) should return 22.631.

assert.equal(
  standardDeviation([
    271,
    354,
    296,
    301,
    333,
    326,
    285,
    298,
    327,
    316,
    287,
    314
  ]),
  22.631
);

--seed--

--seed-contents--

function standardDeviation(arr) {

}

--solutions--

function standardDeviation(arr) {
  var sum = 0,
    sum_sq = 0,
    n = arr.length;
  arr.forEach(function(e) {
    sum += e;
    sum_sq += e * e;
  });

  var std_dev = Math.sqrt(sum_sq / n - Math.pow(sum / n, 2));
  return Math.round(std_dev * 1000) / 1000;
}

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