Mpikirakira Z-Score

Manova sanda tsy voatanisa ho isa z ary mahita ny isan-jatony.

Z-score —
Percentage P(X ≤ x) —
P(X ≥ x) —
Toerana —

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Nanome anao ny valinteny marina ve ity milina fanisana ity?

Momba ity kapila ity

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.

Fanontaniana matetika

Inona no dikan'ny z-score 2?

Ny z-score 2 dia midika fa ny sanda dia miala amin'ny fenitra roa ambony noho ny salan'isa. Raha ny fizarazarana mahazatra dia ny 97.7% amin'ny sanda no miala ambanin'izany, ka izany dia sanda avo sy tena henjana.

Mety ho ratsy ve ny z-score?

Eny. Ny z-score ratsy dia midika fotsiny hoe ambany noho ny salan'isa ny sanda. Ny z-score -1.5, ohatra, dia fihenan-danja iray sy tapany ambany noho ny salan'isa.

Ahoana no fomba hisafidianana ny isa z?

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.

Ahoana no ahafahan'ny Z-score mifandray amin'ny isanjato?

Ny z-score dia averina ho percentile amin'ny alalan'ny fizarazarana normal-normal, izay manome ny isan'ny sanda eo ambanin'izany. ny z-score 0 dia ny 50th percentile, +1 dia ny manodidina ny 84th ary -1 ny manodidina ny 16th.

Inona no heverina ho isa z-mahazo avo na tsy mahazatra?

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.

Mila fizarana mahazatra ve aho mba hampiasa ny isa z?

Afaka manasokajy sanda iray amin'ny alalan'ny lasitra z ianao na inona na inona endrika, saingy ny mety ho vokatry ny isan-jato sy ny feon'ny fe

Mpikirakira mifandraika

Mpikirakira ny fiovan'ny fenitra Mpikirakira sanda P (avy amin'ny Z) Mpikirakira ny fizarazarana mahazatra

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Antsoy ho toy ny farany JSON malalaka ity milina fanisana ity - tsy mila famaha. Mandefa ireo sanda eo amin'ny sehatr'asa etsy ambany ho toy ny mpizaratry ny fanontaniana na JSON. Ny zavatra tsy voalaza dia mampiasa ny sanda tsotra efa nameno ity pejy ity; 400 ny sanda tsy fantatra, tsy aotra tsy misy feo. Vakio ny tahirin-kevitra API feno →

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);

Ny voka-pikarohana dia natao ho an'ny torohevitra ankapobeny ihany, tsy torohevitra ara-bola, ara-pitsaboana na ara-bola.