Normal Kugawa Calculator
Pezani kuthekera density ndi cumulative kuthekera kwa mfundo yoyenera.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
The normal (Gaussian) distribution is the classic symmetric bell curve that describes heights, measurement errors, test scores and countless other natural quantities. Given a value x, a mean μ and a standard deviation σ, this calculator returns the probability density at x, the cumulative probability P(X ≤ x) (the area under the curve to the left), the right-tail probability P(X ≥ x) and the equivalent z-score, and plots the curve.
Internally it converts x to a z-score, z = (x − μ) / σ, then evaluates the standard-normal cumulative distribution with an accurate error-function approximation. Enter an optional upper bound x₂ to get the range probability P(x ≤ X ≤ x₂), computed as the difference of the two cumulative values.
Worked example: for a distribution with μ = 100 and σ = 15, a value of x = 120 has a z-score of (120 − 100) ÷ 15 ≈ 1.33, so P(X ≤ 120) is about 90.9% and the right tail P(X ≥ 120) about 9.1%. This is the tool behind IQ scores, control charts and the empirical 68–95–99.7 rule.
Mafunso ofunsidwa nthawi zambiri
Kodi pali kusiyana kotani pakati pa pdf ndi cdf?
Kugawa kwa kumulativu (cdf) ndi malo pansi pa kuwala mpaka x, komwe kumapatsa kuthekera kwa malire pa kapena pansi pa x.
N’chifukwa chiyani kuthekera kwa mfundo yoyenera ndi zero?
Kwa kugawa kosalekeza monga lamulo, iliyonse yokha yokha mzere ali zero kuthekera - okha zosiyanasiyana ali non-zero kuthekera.Izi ndi chifukwa chakuti tikudziwitsa density pa x ndi cumulative nyanja kotero P (X = x).
Kodi ndi chiyani lamulo la 68-95-99.7?
Kwa kugawa kwachikhalidwe, pafupifupi 68% ya matanthauzo ali m'malo amodzi a standard deviation ya m'midzi, 95% m'malo awiri ndi 99.7% m'malo atatu. Ndi njira yofulumira yoyang'anira momwe tanthauzo losadziwika bwino li popanda kuwerengetsa kutalika kwake koyenera.
Kodi ndingapeze bwanji kuthekera pakati pa malingana awiri?
Kulowa pansi mfundo monga x ndi pamwamba mfundo monga x₂; calculator amabwerera P (x ≤ X ≤ x₂) pochotsa kusonkhana mfundo pa pansi mfundo kuchokera mmodzi pa pamwamba mfundo.
Kodi pali kusiyana kotani pakati pa kugawa kwachikhalidwe ndi kugawa kwachikhalidwe cha standard?
Standard normal ndi kugawa kwachikhalidwe ndi 0 ndi standard deviation ya 1. Kusinthana kwa chilichonse ku z-score yake kumaiika pa standard normal, zomwe ndi momwe ntchitoyi imawerengera zotheka kwa chilichonse μ ndi σ.
Kodi deta yanga ali ndi kukhala bwinobwino normal?
Palibe mfundo zachidziwitso zachidziwitso zomwe ndi zoyenera, koma zotsatirazi ndi zotsimikizika pamene mfundo zachidziwitso ndi zofanana ndi zilembo za m’mabuku ndi zofanana.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
GET https://calculator.free/api/v1/normal-distribution/curl
curl "https://calculator.free/api/v1/normal-distribution/?x=120&mean=100&sd=15"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/normal-distribution/?" + new URLSearchParams({
"x": "120",
"mean": "100",
"sd": "15"
}));
const data = await r.json();
console.log(data.results);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.