Standard Deviation Calculator

Calculate sample or population standard deviation, variance and mean.

Standard deviation —

Variance —

Mean —

Sum of squared deviations —

Chimwe chinhu —

_Kukurumidza —

_Kusiyana —

Kuverenga —

Zvinyorwa zvinogadziridzwa paunenge uchinyora.

Nezve iyi kalkulator

standard deviation is a measure of how far a dataset is spread out around its mean: a small value means the numbers cluster tightly near the average, a large one means they are widely scattered. This calculator calculates both the sample standard deviation (dividing the sum of squared deviations by n − 1, Bessel’s correction) and the population standard deviation (dividing by n), and reports the variance, mean, range and the sum of squared deviations it used. Choose sample when your numbers are a subset of a larger group, and population.TheWorked example: for 2, 4, 5, 5, 7, 9 the mean is 5. The squared deviations sum to 32 and the population standard deviation is 5.TheWorked example: for 2, 4, 5,

Zvimwe zvinobvunzwa zvakanyanya

Chii chinonzi chiyero chekuenzanisa pakati pezviuru zvevanhu nezviuru zvevanhu?

The population formula inoparadza summed squared deviations ne n; sample formula inoparadza ne n - 1. The n - 1 (Bessel’s kugadziriswa) inobhadharisa yechokwadi kuti sample anofarira kufungidzira pasi yakakwana kupararira kwevanhu yaiva kubva.

Nei square deviation?

Squarering inoita kuti chero deviation iite zvakanaka kuti varege kubvisa, uye inowedzera kusimba kune makuru deviations. Kutora rudzi rwesquare pakupera kunodzosera misura kune zvakasikwa zvikwata zvedata.

Ndinogona sei ku calculate standard deviation by hand?

Ita shuwa kuti unoziva kuti mhedzisiro yemubvunzo uyu inoratidza kuti bvunzo yacho yakafanana neimwe yaunowana mubvunzo wekutanga. Kana ukawana kuti bvunzo yacho inoenderana neimwe yezvinyorwa zvako, unogona kuisa mubvunzo wako mubvunzo wekutanga.

Chii chinonzi standard deviation?

Hapana "yakanaka" kukosha kwese kwese — inoenderana nehuwandu hwedata rako nemamiriro ayo. Standard deviation inoreva chete kuti iri pedyo nepakati; iyo imwe shanduko idiki yemitengo yezvivakwa inogona kuve yakakura kwazvo yezvidzidzo. Coefficient of variation inotaura kuti iri sechikamu chemuzana chepakati chekuenzanisa.

Chiyero chekuchinja chinogona kunge chiri zero kana chiri kuipa?

Izvi zvinogona kunge zvakaipa, nekuti zvinowanzova zvishoma, asi zvinonyanya kukosha kana zvasvika pakuenzanisa. Zvinogona kunge zvakaipa kana zvisiri, nekuti zvinowanzova zvishoma. Zvinogona kunge zvakaipa kana zvisiri, nekuti zvinonyanya kukosha kana zvisiri.

Nei mufananidzo ku kalkuleta inofanira kuiswa pamwechete zviviri zvishoma?

The sample formula inoparadzaniswa ne n - 1, saka imwe chete pfungwa ichaparadzana ne zero uye inodzokera kusingazivikanwe. A sample standard deviation chete anoreva kana iwe uine maviri kana akawanda zviyeuchidzo kuti uenzanise.

API — kushandisa iyi kalkulator kubva code

Chiva iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo zviwanikwa pasi separameter query kana JSON. Tora yakazara API docs →

Endpoint

GET https://calculator.free/api/v1/standard-deviation/

curl

curl "https://calculator.free/api/v1/standard-deviation/?numbers=9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4&type=sample"

JavaScript `fetch()`

const r = await fetch(
  "https://calculator.free/api/v1/standard-deviation/?" + new URLSearchParams({
    "numbers": "9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4",
    "type": "sample"
  }));
const data = await r.json();
console.log(data.results);

Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.

Nezve iyi kalkulator

Zvimwe zvinobvunzwa zvakanyanya

Maitiro ekuita Calculators

Endpoint

curl

JavaScript fetch()

JavaScript `fetch()`