Z-Score Calculator
Kusintha mfundo raw kuti z-mlingo ndi kupeza percentile yake.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
Kodi z-mlingo wa 2 zikutanthauza chiyani?
A z-mlingo wa 2 amatanthauza kuti mtengo ndi awiri standard deviations pamwamba pa malire. Pambuyo kugawa bwino za 97.7% ya ndalama kugwa pansi pa izo, kotero ndi bwino kwambiri, mtengo waukulu.
Kodi z-score angakhale oipa?
Ndikofunika. Z-score woipa amatanthauza kuti mtengo ndi pansi pa malire. Z-score ya -1.5, mwachitsanzo, ndi standard deviation imodzi ndi theka pansi pa malire.
Kodi ndingatani kuti ndiwerenge z-score?
Kuchotsa m'mimba mwake kuchokera ku mfundo yanu ndi kugawa ndi standard deviation: z = (x − μ) / σ. Kwa x = 85, μ = 70 ndi σ = 10 z-score ndi (85 − 70) ÷ 10 = 1.5.
Kodi z-score amakhudzana ndi percentile?
Z-score amasinthidwa kuti percentile mwa standard-normal cumulative kugawa, amene amapatsa gawo la mfundo pansi pake. A z-score wa 0 ndi 50th percentile, +1 ndi za 84th ndi -1 za 16th.
Kodi ndi chiyani chimadziwika kuti ndi z-score yotsika kwambiri kapena yosadziwika?
By a common rule of thumb, z-scores beyond ±2 are unusual and beyond ±3 are rare, since about 95% of a normal distribution lies within two standard deviations of the mean and 99.7% within three.
Kodi ndiyenera kugawa bwino kuti ndigwiritse ntchito z-score?
Mukhoza standardize chilichonse tanthauzo ndi z formula ngakhale kuti mtundu, koma percentile ndi tail zotheka izi chida reports akuganiza kuti deta amatsatira normal kugawa. Kwa kwambiri non-normal deta amene zotheka ndi zokwana.
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/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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.