Kalkuluta ya Variance
Kuwerengetsa sample kapena anthu kusiyanasiyana kwa deta set.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
Kodi ndi variance zokhudzana ndi standard deviation?
Standard deviation ndi square root ya variance. Variance ndi m'mizere squared mayunitsi (mwachitsanzo, squared madola), pamene standard deviation ndi kumbuyo mu zipangizo zoyambirira, choncho awiri nthawi zonse kufotokoza kufalitsa chimodzimodzi.
Kodi ndiyenera kugwiritsa ntchito n versus n - 1?
Kugawa ndi n - 1 pamene deta yanu ndi mzere wogwiritsa ntchito kuti awerenge anthu ambiri; kugawa ndi n pamene deta yanu ikuimira anthu onse inu kusamala za.
N’chifukwa chiyani pali kusinthasintha m’mayunitsi ozungulira?
Chifukwa cha zonse zosiyana ndi squared pamaso averageing, zotsatira amatenga squared ya yunitsi yoyamba - squared madola, squared masentimita ndi zina zotero. Izi amachititsa kusiyanasiyana zosaoneka kutanthauzira mogwirizana, chifukwa chake yake square root, standard deviation, ndi kudziwitsidwa pamodzi ndi izo.
Kodi variance angakhale woipa?
Sichoncho. Ndi m'midzi ya squared ziweto, kotero ndi nthawi zonse zero kapena woipa. A kusiyanasiyana kwa mfundo zero amatanthauza kuti zonse mfundo mu set ndi yofanana.
Kodi ndi chiyani kusiyana pakati pa variance ndi standard deviation?
Zimafotokoza kufalitsa kofanana koma pa zigawo zosiyana: kusiyanasiyana ndi kusinthika kwapakati kwa squared, ndipo standard deviation ndi mbewu yake ya square, kumbuyo mu mayunitsi oyamba. Ngati kusiyanasiyana ndi 25, standard deviation ndi 5.
Kodi ndi variance ntchito mu real analysis?
Kusiyana kumapangitsa kulephera pa ndalama, mphamvu ya sign mu injiniya ndi F-kuyesa mu ANOVA, kumene kusiyana pakati pa mabungwe ndi kuyerekeza ndi kusiyana m'kati mwawo kuti asankhe ngati gulu amatanthauza kuti ndithudi kusiyana.
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/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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.