Margin of Error Calculator
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Zvinyorwa zvinogadziridzwa paunenge uchinyora.
Nezve iyi kalkulator
The margin of error tells you how far a survey result is likely to be from the true population value — the "plus or minus" figure quoted next to poll results. For a proportion it is z*·√(p(1 − p) / n), where p is the sample proportion, n the sample size and z* the critical value for your confidence level (1.96 for 95%).
It reports the margin, the confidence-interval bounds around your proportion and the full interval width, and a table shows how the margin shrinks as the sample grows. The default 50% proportion gives the most conservative (largest) margin, because the quantity p(1 − p) peaks at p = 0.5, which is why pollsters often quote it.
Worked example: with 1,000 respondents split 50/50 at 95% confidence, the margin is 1.96 × √(0.5 × 0.5 ÷ 1000) ≈ 1.96 × 0.0158 ≈ 3.1 percentage points. So a poll result of 50% really means somewhere between about 46.9% and 53.1%. To halve that margin you would need roughly four times the sample.
Zvimwe zvinobvunzwa zvakanyanya
Nei a zhinji sampulhi kuderedza margin of error?
The margin shrinkages ne square root ye sample size, saka quadrupling n halfs the margin of error. This diminishing return is why very large samples are needed to push the margin below one or two percentage points.
Nei 50% iri default proportion?
Kuwanda p (1 - p) ndekwepamusoro pa p = 0.5, saka kutenda kuti 50/50 kuparadzana kunogadzira yakakura, yakanyanya kuchengetedzeka margin of error.Using it guarantees the true margin is not larger than reported.
Ndiani anofanira kuongorora kuti ndeipi mari yemubhadharo?
Kuwedzera pfungwa huru z * yenguva yako kuvimbika panzvimbo ne square root of p (1 - p) ÷ n. For p = 0.5, n = 1000 uye 95% kuvimbika, kuti ndi 1.96 × √ (0.25 ÷ 1000) ≈ 3.1 muzana zvibodzwa.
Chii chinonzi chiyero chekufungidzira? Chii chinonzi chiyero chekufungidzira? Chii chinonzi chiyero chekufungidzira?
The margin of error is the half-width; the confidence interval is the full range you get by adding and subtracting the margin from your result. A 48% result with a 3-point margin gives a confidence interval of 45% to 51%.
Iine vanhu vakawanda vanofanira kuva nemamiriro ezvinhu akafanana?
Hapana. Pashure pezviuru zvishoma zvevanhu, huwandu hwevanhu hunokonzera kuwanda kwemari — chinhu chinokosha ndechekuti huwandu hwevanhu hwacho huri nani. Izvi ndizvo zvinoita kuti mubvunzo wemunharaunda newemuguta ugone kupihwa mari imwecheteyo nevanhu vakafanana.
Maitiro ekuti kuvimbika kwechiyero chekuzvipira kuchinja sei huwandu hwekukanganisa?
Kubva pa95% (z* = 1.96) kusvika pa99% (z* = 2.576) kunoita kuti marijitari irambe iri pamusoro pe31% yemufananidzo mumwe chete, uye kusvikira pa99% (z* = 2.576) marijitari iri pasi pe31% yemufananidzo mumwe chete.
API — kushandisa iyi kalkulator kubva code
Nhare iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo mavara pasi separameter query kana JSON. Chii zvachose chaunoisa kunze chinoshandisa default iyo peji iri rakasviba nayo; parameter isiri yechokwadi inonzi 400, uye haisi zero. Tora yakazara API docs →
Endpoint
GET https://calculator.free/api/v1/margin-of-error/curl
curl "https://calculator.free/api/v1/margin-of-error/?n=1000&p=50&conf=1.96"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/margin-of-error/?" + new URLSearchParams({
"n": "1000",
"p": "50",
"conf": "1.96"
}));
const data = await r.json();
console.log(data.results);Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.