Kalkulatur tad-Devjazzjoni Assoluta Medja
Sib id-devjazzjoni assoluta medja (MAD) ta' sett ta' data.
Riżultati aġġornament kif inti tip.
Dwar din il-kalkulatur
mean absolute deviation 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 the result.The mean absolute deviation (MAD) is the average distance between each value and the mean, using absolute values so distances never cancel out.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: find the mean, work out the deviation.Worked example: for 2, 4, 6, 8, 10 the mean is 6. The absolute deviations are 4, 2, 0, 2, 4, which sum to 12, so the MAD is 12 ÷ 5 = 2.4The method is simple: find the mean, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the deviation, work out the de
Mistoqsijiet li jsiru ta' spiss
Kif MAD huwa differenti minn devjazzjoni standard?
MAD tkejjel il-medja tad-devjazzjonijiet assoluti, filwaqt li d-devjazzjoni standard tkejjel il-medja tad-devjazzjonijiet kwadrati u mbagħad tieħu għerq kwadru.Minħabba li ma tikkwadrax, MAD tagħti inqas piż lil outliers u ħafna drabi hija aktar faċli biex tispjega, iżda d-devjazzjoni standard għandha proprjetajiet matematiċi aktar konvenjenti.
Kif nikkalkula MAD bl-idejn?
Sib il-medja, naqqasha minn kull valur u ħu l-valur assolut ta’ kull riżultat, imbagħad agħmel medja ta’ dawk id-distanzi.Għal 2, 4, 6, 8, 10 il-medja hija 6 u l-MAD huwa (4+2+0+2+4)/5 = 2.4.
Id-devjazzjoni assoluta medja hija l-istess bħall-medja tad-devjazzjoni?
Iva, iż-żewġ termini normalment jirreferu għall-istess ħaġa: il-medja tad-distanzi assoluti minn punt ċentrali, l-aktar spiss il-medja. Xi kotba tal-iskola jkejlu d-distanzi mill-medjan minflok, li jimminimizza d-distanza totali, iżda dan il-kalkulatur juża l-medja.
Għaliex MAD juża valuri assoluti?
Devjazzjonijiet 'il fuq mill-medja huma pożittivi u dawk taħt huma negattivi, u dejjem iġibu ammont ta' żero, għalhekk il-medja sempliċi tagħhom hija bla użu.Jekk tieħu l-valur assolut, is-sinjal jitneħħa sabiex kull distanza tkun tiswa, u b'hekk tagħti kejl ġenwin tal-firxa.
Meta għandi nippreferi MAD fuq id-devjazzjoni standard?
Agħżel MAD meta trid miżura ta' tixrid li tkun faċli biex tispjega u robusta għal outliers, jew meta l-kwadru jkun jiżdied b'piż żejjed għal ftit valuri estremi. Id-devjazzjoni standard hija ppreferuta meta għandek bżonn il-proprjetajiet matematiċi li tgħabbi, bħad-distribuzzjoni normali jew testijiet ibbażati fuq il-varjazzjoni.
Tista’ d-devjazzjoni assoluta medja tkun żero?
Huwa biss meta kull valur ikun ugwali għall-medja — jiġifieri meta n-numri kollha jkunu identiċi u ma jkunx hemm tixrid — li l-MAD ikun numru pożittiv.
API — uża din il-kalkulatur mill-kodiċi
Sejjaħ dan il-kalkulatur bħala punt aħħari JSON b'xejn — l-ebda ċavetta meħtieġa Ibgħat il-valuri tal-qasam hawn taħt bħala parametri tal-mistoqsija jew JSON. Aqra d-dokumenti sħaħ tal-API →
Punt aħħari
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);Ir-riżultati huma stimi għal gwida ġenerali biss, mhux parir finanzjarju, mediku jew tat-taxxa.