Kalkulator apsolutne devijacije
Nađite srednju apsolutnu devijaciju (MAD) skupa podataka.
Rezultati se ažuriraju dok tipkate.
O ovom kalkulatoru
mean absolute deviation (MAD) is the average distance between each value and the mean, using absolute values so distances never cancel out. It measures spread like the standard deviation but is simpler and less sensitive to outliers, because it does not square the deviations. This calculator reports the MAD together with the mean, range and the sum of absolute deviations it was measured from. This calculator reports the MAD together with the mean, range and the sum of absolute deviations it was measured from. This calculator is easy to explain to a non-technical audience and it is easy to trace every value’s distance so that you can get the result.The method is direct: find the mean, take the absolute value of each value’s distance from it, add those distances up and divide by the number of values.The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The method is simple:The
Često postavljana pitanja
Kako se MAD razlikuje od standardne devijacije?
MAD daje prosjek apsolutnih devijacija, dok standardna devijacija daje prosjek kvadratnih devijacija i zatim uzima kvadratni korijen.Pošto ne kvadratira, MAD daje manje težine izlaznim vrijednostima i često je lakše objasniti, ali standardna devijacija ima prikladnije matematičke osobine.
Kako da izračunam MAD ručno?
Pronađite srednju vrijednost, odbacite je od svake vrijednosti i uzmite apsolutnu vrijednost svakog rezultata, zatim izračunajte prosjek tih udaljenosti. Za 2, 4, 6, 8, 10 srednja vrijednost je 6 i MAD je (4+2+0+2+4)/5 = 2.4.
Da li je srednja apsolutna devijacija ista kao srednja devijacija?
Da, ova dva pojma se obično odnose na istu stvar: prosjek apsolutnih udaljenosti od centralne tačke, najčešće srednja vrijednost. Neki udžbenici umjesto toga mjere udaljenosti od medijana, što minimizira ukupnu udaljenost, ali ovaj kalkulator koristi srednju vrijednost.
Zašto MAD koristi apsolutne vrijednosti?
Odstupanja iznad srednje vrijednosti su pozitivna, a ona ispod su negativna, i uvijek se zbrajaju do nule, tako da je njihova prosječna vrijednost beskorisna. Uzimajući apsolutnu vrijednost uklanja se znak tako da se svaka udaljenost računa, dajući pravu mjeru rasprostranjenosti.
Kada bih trebao da preferiram MAD u odnosu na standardnu devijaciju?
Odaberite MAD kada želite mjeru raspodjele koja je lako objasniti i robustna za odstupanja, ili kada bi kvadratura pretežila nekoliko ekstremnih vrijednosti. Standardna devijacija je poželjna kada vam trebaju matematička svojstva u koje se unose, kao što su normalna raspodjela ili varijansa zasnovana na testovima.
Može li srednja apsolutna devijacija biti nula?
Samo kada je svaka vrijednost jednaka srednjoj vrijednosti, to jest, kada su svi brojevi identični i nema raspršenja, MAD je uvijek pozitivan broj.
API — koristite ovaj kalkulator iz koda
Pozovi ovaj kalkulator kao slobodnu JSON krajnju tačku - nije potreban ključ. Pošalji vrijednosti polja ispod kao parametre upita ili JSON. Sve što izostavite koristi istu zadanu vrijednost kojom je ova stranica unaprijed popunjena; nepoznat parametar je 400, nikad tiha nula. Pročitajte cijelu API dokumentaciju →
Krajnja tačka
GET https://calculator.free/api/v1/mean-absolute-deviation/curl
curl "https://calculator.free/api/v1/mean-absolute-deviation/?numbers=2, 4, 6, 8, 10"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/mean-absolute-deviation/?" + new URLSearchParams({
"numbers": "2, 4, 6, 8, 10"
}));
const data = await r.json();
console.log(data.results);Rezultati su procjene samo za opće smjernice, a ne financijski, medicinski ili porezni savjeti.