I-Calculator ye-Z-Score

Iguqula ixabiso eli raw kwi z- score kwaye ufumane i percentile yayo.

Inqaku le-Z —
Ipesentiyile P(X ≤ x) —
P( X ≥ x) —
Indawo —

Iinketho ze projekti

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Malunga nale Calculator

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.

Imibuzo ebuza rhoqo

Yintoni i-z-score ye-2 ithetha?

A z-score of 2 means the value is two standard deviations above the mean. Under a normal distribution about 97.7% of values fall below it, so it is a fairly extreme, high value.

Ingaba i-z-score iya kuba negalelo?

Ewe. Inqaku le-z elingalunganga lithetha ukuba ixabiso lingaphantsi komlinganiselo. Inqaku le-z le-1.5, umzekelo, linye nengxenye ye-standard deviations ngaphantsi komlinganiselo.

Ndibala njani i z-score?

Subtract the mean from your value and divide by the standard deviation: z = (x − μ) / σ. For x = 85, μ = 70 and σ = 10 the z-score is (85 − 70) ÷ 10 = 1.5.

Inqaku le-z liqhagamshelana njani nepesentiyeli?

I z- inqaku liguqulwa kwipersentile nge standard- normal accumulative distribution, enika unikezelo lwexabiso phantsi kwayo. I z- inqaku le 0 likwipersentile ye 50th, +1 limalunga ne 84th ne - 1 malunga ne 16th.

Yintoni ethathwa njengenqanaba eliphezulu okanye elingekho qhelekileyo lez-scores?

Ngomthetho oqhelekileyo wesandla, iz-scores ezingaphezulu kwe-±2 azisebenzi kwaye ezingaphezulu kwe-±3 zincinci, kuba malunga ne-95% yonikezelo oluqhelekileyo lungaphakathi kokungalingani okuqhelekileyo okubini kophakathi kunye ne-99.7% ngaphakathi kwe-3.

Ndifuna unikezelo oluqhelekileyo ukusetyenziswa kwe z- score?

Uyakwazi ukumisela ixabiso ngalinye ngefomula ye z ngaphandle kokungafani kohlobo, kodwa ipersentile ne tail probabilities le sixhobo sixela ukuba i data ilandela unikezelo oluqhelekileyo. Kwi data enamandla engaqhelekileyo loo amathuba amalunga kuphela.

Ii-calculators ezihambelanayo

Ixabiso le Standard Deviation I-P-Ixabiso leKhalenda (esuka ku-Z) I-Calculator yonikezelo oluqhelekileyo

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API — sebenzisa le calculator ukusuka kwikhowudi

Nceda le khadi lemali njengendawo esemva ye-JSON ekhululekileyo - akukho qhosha lifunekayo. Thumela amaxabiso endawo ezantsi njengeparameter yombuzo okanye i-JSON. Nantoni na oyenzayo isebenzisa okungagqibekanga okufanayo eli phepha ligqityiwe ngaphambili; iparameter engaziwayo yi 400, ayikho i zero ekhululekileyo. Funda i-API epheleleyo →

Incopho yesiphelo

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);

Results are estimates for general guidance only, not financial, medical or tax advice.