Àwọn

Fi àwọn ààtò àwọn ìṣàmúlò-ètò àti àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò pamọ́.

Àwọn ìṣàfarawé —

Àwọn ìṣàmúlò-ètò —

Àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò àwọn àwọn ìṣàmúlò-ètò —

Kéré —

Òkè —

Àwọn Ìjánu-ìsún —

Àwọn Ìtàn —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

Variance is the average of the squared deviations from the mean and is the square of the standard deviation. This calculator gives the sample variance (sum of squared deviations divided by n − 1) or the population variance (divided by n), along with the standard deviation, mean, range and sum of squared deviations. Variance is expressed in squared units, which is why the standard deviation — its square root — is usually easier to interpret.

To find it, take the mean, subtract it from every value, square each of those deviations, add them together and divide by n − 1 for a sample or by n for a whole population. Squaring is what makes variance always non-negative and gives extra weight to values that lie far from the mean.

Worked example: for 12, 15, 17, 20, 22, 25 the mean is 18.5. The squared deviations sum to about 118.5, so the sample variance is 118.5 ÷ 5 = 23.7 and the population variance is 118.5 ÷ 6 = 19.75. Variance is the workhorse behind ANOVA, portfolio risk, quality control and many other techniques; the deviation table below lists each value’s distance from the mean and its square.

Àwọn Àtòjọ-ẹ̀yàn

Bawo ni variance ṣe sopọ mọ standard deviation?

The standard deviation is the square root of the variance. Variance is in squared units (for example, squared dollars), while the standard deviation is back in the original units, so the two always describe the same spread.

Nígbà ní mò fi lò n versus n − 1?

Fi pamọ́ sí n − 1 tí àtòjọ-ẹ̀yàn rẹ̀ bá jẹ́ ààyè tí a lò láti fi pamọ́ sípò; fi pamọ́ sí n tí àtòjọ-ẹ̀yàn rẹ̀ bá jẹ́ ìṣàmúlò-ètò gbogbógbòó tí o fẹ́.

Kini idi ti variance bá jẹ́ nínú àwọn ààtò àwọn ààtò kejì?

Tí àwọn ìṣàfarawé àwọn ìṣàfarawé gbogbó ní pàtó nígbà tí a tí pàtó àwọn ìṣàfarawé nígbà tí a tí pàtó, àwọn

Lè àwọn ìṣàfarawé àwọn ìṣàfarawé lè jẹ́ ìdájú?

No. It is an average of squared numbers, so it is always zero or positive. A variance of exactly zero means every value in the set is identical.

Kini ìyatọ̀ laarin ìyatọ̀ náà àti ìṣàfarawé àwọn ìṣàmúlò-ètò?

They describe the same spread but on different scales: variance is the average squared deviation, and standard deviation is its square root, back in the original units. If the variance is 25, the standard deviation is 5.

Bawo ni a ṣe lo variance ni iwadi gidi?

Variance n ṣe agbekalẹ awọn ibajẹ ni owo, agbara ifihan agbara ni imọ-ẹrọ ati idanwo F ni ANOVA, nibiti iyatọ laarin awọn ẹgbẹ ni a ṣe iyatọ pẹlu iyatọ laarin wọn lati yan boya awọn ọna ẹgbẹ ni otitọ ni iyatọ.

API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò

Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

GET https://calculator.free/api/v1/variance/

curl

curl "https://calculator.free/api/v1/variance/?numbers=12, 15, 17, 20, 22, 25&type=sample"

JavaScript `fetch()`

const r = await fetch(
  "https://calculator.free/api/v1/variance/?" + new URLSearchParams({
    "numbers": "12, 15, 17, 20, 22, 25",
    "type": "sample"
  }));
const data = await r.json();
console.log(data.results);

Results are estimates for general guidance only, not financial, medical or tax advice.

Àkóónú ìṣàmúlò-ètò yìí

Àwọn Àtòjọ-ẹ̀yàn

Àwọn Ìṣàmúlò-ètò Ìṣàmúlò-ètò

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

curl

JavaScript fetch()

JavaScript `fetch()`