Qalabka xisaabinta

Tixraac ama tirada dadka caadiga ah ee ka leexashada, kala duwanaansho iyo dhexdhexaad ah.

Xagal-dhaca caadiga ah —

kala duwanaanshaha —

Dhexdhexaad —

Tirada kala-goysyada —

Ugu yaraan —

Ugu badan —

Jaantuska —

Tirada —

Natiijooyinka cusbooneysiinta sida aad ku qorto.

Ma xisaabiyahan ayaa ku siiyey jawaabta saxda ah?

Ku saabsan Kalkaaliyahan

Standard deviation measures how spread out a data set is around its mean: a small value means the numbers cluster tightly near the average, a large one means they are widely scattered. This calculator computes 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 drawn from a larger group, and population when they are the entire group.

The method has four steps: find the mean, subtract it from each value to get the deviations, square those deviations and add them up, then divide by n − 1 (sample) or n (population) and take the square root. The square root returns the answer to the same units as the original data, which is why standard deviation is usually preferred over variance for interpretation.

Worked example: for 2, 4, 4, 4, 5, 5, 7, 9 the mean is 5. The squared deviations sum to 32, so the population variance is 32 ÷ 8 = 4 and the population standard deviation is √4 = 2; the sample version divides 32 by 7, giving about 4.57 and a standard deviation of roughly 2.14. The deviation table below shows each value’s distance from the mean and its squared deviation so you can follow the calculation.

Su'aalaha badanaa la isweydiiyo

Maxay tahay farqiga u dhexeeya tusaale iyo dadka caadiga ah ee ka leexashada?

Foomka dadweynaha qaybiyaa summed squared diidmada by n; foomka tusaale ah qaybiya by n - 1. The n - 1 (Bessel ee hagaajinta) compensates in xaqiiqada ah in tusaale u jecel yahay in ay hoos u qiimeeyaan faafidda dhabta ah ee dadka ay ka yimid.

Maxaa ka mid ah xagga ka leexashada?

Squarering ka dhigaysa kala duwanaanshaha kasta oo wanaagsan si ay u joojiyaan, oo ay miisaanka kala duwanaanshaha weyn oo ka badan si xoog leh. Ka qaado xididka square ee dhamaadka ku soo laabtay tallaabada in unugyada asalka ah ee xogta.

Sideen u xisaabiyaa standard diidmada gacanta?

Ka hel dhexdhexaad ah, ka soo qaado qiimaha kasta si aad u hesho kala duwanaanshaha, square kala duwanaanshaha kasta oo ku dar iyaga, ka dibna ku kala qaybsan n - 1 oo tusaale ah ama n oo dadka ah oo qaado jiirka square ee natiijadaas.

Waa maxay ka noqoshada caadiga ah ee wanaagsan?

Ma jiro qiime guud "fiican" - waa ku xiran tahay oo dhan oo ku saabsan heerka iyo macnaha xogtaada. A ka noqnoqoshada caadiga ah waa kaliya macno dheer oo ku xiga inta u dhexeysa; kala firdhinta la mid ah oo yar yar ee qiimaha guriga waxaa laga yaabaa in ay aad u weyn ee dhibcaha imtixaanka.

Ma standard ka leexashada noqon kartaa zero ama xun?

Waxay noqon kartaa zero, taas oo kaliya ka dhacda marka qiimaha kasta waa isku mid ah oo waxaa jira faafin aan dhammaan. Waxay noqon kartaa marnaba xun, sababtoo ah waa square root of dhexdhexaad ah oo ah tirada squared.

Maxaa yeelay, xisaabta tusaale ah u baahan tahay ugu yaraan laba qiimo?

Formula tusaale ah ayaa ku kala qaybsan n - 1, sidaas daraaddeed qiimaha kaliya ayaa ku kala qaybsan by zero iyo waxaa laga tagay aan la qeexin. A tusaale ah standard diidmada kaliya macno marka aad leedahay laba ama in ka badan oo aragti ah in la barbar dhigo.

API — isticmaal xisaabinta ka code

Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Wax kasta oo aad ka maqan tahay isticmaalaa default la mid ah ee boggani waa hore loo buuxiyey la; parameter aan la aqoon waa 400, marnaba ma aha zero maqan. Akhri dhammaan API xuquuqda →

Xarafka

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);

Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.

Ku saabsan Kalkaaliyahan

Su'aalaha badanaa la isweydiiyo

Kalkulatorro la xiriira

Xarafka

curl

JavaScript fetch()

JavaScript `fetch()`