I-Calculator ye-Variance
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Iziphetho zivuselelwa uma ubhala.
Malunga nale khadi
Variance is the average of the squared deviations from the mean and is the square of the standard deviation. This calculator gives the sample variance (sum of squared deviations divided by n − 1) or the population variance (divided by n), along with the standard deviation, mean, range and sum of squared deviations. Variance is expressed in squared units, which is why the standard deviation — its square root — is usually easier to interpret.
To find it, take the mean, subtract it from every value, square each of those deviations, add them together and divide by n − 1 for a sample or by n for a whole population. Squaring is what makes variance always non-negative and gives extra weight to values that lie far from the mean.
Worked example: for 12, 15, 17, 20, 22, 25 the mean is 18.5. The squared deviations sum to about 118.5, so the sample variance is 118.5 ÷ 5 = 23.7 and the population variance is 118.5 ÷ 6 = 19.75. Variance is the workhorse behind ANOVA, portfolio risk, quality control and many other techniques; the deviation table below lists each value’s distance from the mean and its square.
Imibuzo ebuzwa kaningi
Ingabe ushintsho luhlobene kanjani nesimo esijwayelekile sokungalingani?
Iphutha elijwayelekile yisisekelo esiyisikwere sesimo. Isimo siyiyunithi esiqweqwe (njengesibonelo, amadola asiqweqwe), ngenkathi iphutha elijwayelekile libuyela emuva kuyunithi yakuqala, ngakho-ke lezi ezimbili zihlala zichaza ukusakazeka okufanayo.
Ngabe ngisebenzisa n versus n − 1?
Yabelana nge n - 1 uma idatha yakho isebenzisa isampula ukulinganisela inani elikhulu labantu; yabelana nge n uma idatha yakho ikhombisa inani elikhulu labantu obaziyo.
Kungani ihlukana kuyizingxenye ezisikwele?
Ngenxa yokuthi i-deviation ngayinye i-squared ngaphambi kokulinganisela, imiphumela ithatha i-squared yeyunithi yokuqala - amadola a-squared, amasentimitha a-squared njll. Okukwenza ukuhlukahluka kube nzima ukuchaza ngokuqondile, ngakho-ke i-square root yayo, i-deviation ejwayelekile, i raportiwe ngakwesokudla.
Ingabe ushintsho luyingozi?
Hayi. Yisilinganiso samanani ahlukanisiwe, ngakho-ke sihlala siyisi-zero noma siyi-positive. Ukuhluka kwe-zero ngokugcwele kusho ukuthi wonke amaxabiso esetheni afana.
Yini ushintsho phakathi kwe-variance ne-standard deviation?
Bachaza ukusakazeka okufanayo kodwa ngezinga elilodwa: i-variance iyi-deviation ephakathi, futhi i-standard deviation iyi-square root yayo, emuva kumayunithi aqalayo. Uma i-variance ingu-25, i-standard deviation iyi-5.
Indlela ihlukana esetshenziswa ekuqwashiseni ongempela?
Ukuhlukana kuholela emdlalweni ezimalini, amandla okubonisa enjiniyela kanye ne-F-test ku-ANOVA, lapho ukuhlukana phakathi kwamaqembu kuqhathaniswa nokuphakama ngaphakathi kwabo ukucabanga ukuthi ngabe iqembu lisho ukuthi lihlukile.
API — sebenzisa le calculator kusuka kukhodi
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Ingxenye yendawo
GET https://calculator.free/api/v1/variance/curl
curl "https://calculator.free/api/v1/variance/?numbers=12, 15, 17, 20, 22, 25&type=sample"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/variance/?" + new URLSearchParams({
"numbers": "12, 15, 17, 20, 22, 25",
"type": "sample"
}));
const data = await r.json();
console.log(data.results);Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.