Z-Score Kalkülatory
Bir öwez mykdary z-score'a öwür we onuň percentile'ini tap.
Netijeler ýazýan wagtyň täzelener.
Bu hasapçy hakda
A z-score (standard score) tells you how many standard deviations a value lies above or below the mean: z = (x − μ) / σ. A positive z-score sits above the mean, a negative one below, and a z-score of zero is exactly at the mean. Standardising this way lets you compare values measured on completely different scales.
This calculator also returns the percentile — the probability that a value from a normal distribution is below x — and the right-tail probability, using the standard-normal cumulative distribution computed with an accurate error-function approximation, and it plots where x sits on the bell curve.
Worked example: if a test has a mean of 70 and a standard deviation of 10, a score of 85 gives z = (85 − 70) ÷ 10 = 1.5, meaning it is one and a half standard deviations above average. Under a normal distribution about 93.3% of scores fall below it, so it lands at roughly the 93rd percentile. Z-scores are the basis of standardised testing, quality control and the "68–95–99.7" rule.
Köp soralýan soraglar
2-niň z-nokady näme aňladýar?
2-niň bir z-baly mysal üçin baha ortaçadan iki standart sapmak manysynda. Normal paýlaşma astynda bahalaryň 97.7% ondan aşak düşýär, şuňa görä bu gaty agyr, ýokary baha.
Z-nokady menfi bolup bilermi?
Eý. Negatiw z-punktar diňe baha ortadan aşakda diýmekdir. Meselem −1.5 z-punktar ortadan bir yarym standart çykyş aşakda diýmekdir.
Men z-nokady nädip hasap etmeli?
Ortaçany nyşandan çykar we standart öçüm bilen böl: z = (x − μ) / σ. x = 85, μ = 70 we σ = 10 üçin z-score (85 − 70) ÷ 10 = 1.5
Bir z-nokady bir percentile nädip bagly?
The z-score is converted to a percentile through the standard-normal cumulative distribution, which gives the proportion of values below it. A z-score of 0 is the 50th percentile, +1 is about the 84th and −1 about the 16th.
Näme ýokary ýa-da gadymky z-score hasaplanýar?
Umumy düzgüne görä, ±2-den ýokary z-skorlar adaty däl we ±3-den ýokary z-skorlar az bolýar, sebäbi normal paýlamanyň 95% -i ortaça iki standart çykyş we 99,7% üçüsiniň içinde ýerleşýär.
Men z-nokady ulanmak üçin kadaly paýlaşmak gerekmi?
Siz z formula bilen her hili bir mykdary şişlige garamazdan standartlaşdyryp bilersiňiz, emma bu esbapyň habar beren percentil we taý olaňlyklar maglumatlaryň normal paýlaşmany yzyndan gelýändigini kabul eder. Güçlü non-normal data üçin olar olaňlyklar diňe ýakynlaşar.
API — bu hasapçyny koddan ullan
Bu hasapçyny boş JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Siziň goýmaýan hernäňiz şu sahypanyň öň bellenen öň bellenenini ulanýar; namydar parametr 400, hiç wagt sessiz sıfır däl. Eňlisçe senedleri oka →
Endpoint
GET https://calculator.free/api/v1/z-score/curl
curl "https://calculator.free/api/v1/z-score/?x=85&mean=70&sd=10"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/z-score/?" + new URLSearchParams({
"x": "85",
"mean": "70",
"sd": "10"
}));
const data = await r.json();
console.log(data.results);Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, saglyk ýa-da salgyt maslahaty üçin däl.