Z-Score Calculator
Kpọnye uru n'ime z-score na chọpụta percentile ya.
Nhọrọ ndị ahụ ga-akpụzi mgbe ị na-etipụta.
N'ihe banyere calculator a
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.
Ajụjụ ndị a na-ajụkarị
Gịnị bụ z-score nke 2?
Z-score nke 2 pụtara na valiu bụ standard deviations abụọ n'elu nkezi. N'okpuru n'ozuzu n'ozuzu banyere 97.7% nke valiu na-abanye n'okpuru ya, yabụ ọ bụ ezigbo n'ime, valiu elu.
Ọ bụrụ na z-score bụ nke na-adịghị mma?
Ee. Z-score nke na-egbochi pụtara na valiu ahụ dị n'okpuru n'ozuzu ya. Z-score nke -1.5, dịka ọmụmaatụ, bụ otu na n'elu nke n'okpuru n'ozuzu ya.
Olee otú m ga-esi hazie z-score?
Wepụ n'etiti site na válọ́ọ̀ gị nakwa wepụta site na станда́rị deviásì: z = (x − μ) / σ. Maka x = 85, μ = 70 na σ = 10 z-ọ̀tụ̀tụ̀ bụ (85 − 70) ÷ 10 = 1.5.
Olee otú z-score si banye na percentile?
Z-score atụgharịrị na percentile site na ntọala-nkịtị cumulative distribution, nke na-enye uru nke valiu n'okpuru ya. Z-score nke 0 bụ 50th percentile, +1 bụ banyere 84th na -1 banyere 16th.
Gịnị ka a na-atụle dị elu mọọbụ z-score na-adịghị asị?
N'ihi iwu a na-ejikarị eme ihe, z-scores n'ebe dị anya na ±2 bụ ihe na-adịghị asị na n'ebe dị anya na ±3 bụ ihe na-adịghị asị, ebe ọ bụ na ihe dị ka 95% nke n'ozuzu ya dị n'ime standard deviations abụọ nke average na 99.7% n'ime atọ.
M ga-achọ n'ozuzu ya iji jiri z-score?
I nwere ike igosipụta valiu ọbụla na z-fomulụ n'enweghị n'adabere na ọbụna ụdị, ma ọ bụ na percentile na tail probabilities nke a toolbar na-agwa na data na-eso n'ọdịnaya nkịtị. Maka data na-adịghị nkịtị nke ukwuu, ndị ahụ bụ naanị n'ụdị nkịtị.
API — jiri kaadị a site na kóòdù
Kpọọ kalkulata a dịka ebe ngwụcha JSON n'efu - enweghị kii achọrọ. Ziga valiu ebe ahụ n'okpuru dịka paramita ajụjụ mọọbụ JSON. Ihe ọbụla ị na-ewepụ na-eji dìfọ́ọ̀ltụ̀ nke a na-edebe ihuakwụkwọ a na ya; parameter a na-amaghị bụ 400, ọ dịghị sẽọ̀rọ̀. Gụọ ngwe ndị ahụ niile →
Ebemkpofuozi
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);Ihe a na-ahụta bụ n'ihi nlekọta n'ozuzu ya, ọ bụghị nlekọta ego, ọgwụ ma ọ bụ nlekọta ego.