I-Calculator ye-Mean Absolute Deviation
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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 is easy to understand for a non-technical audience and it is easy to trace the result. The MAD is expressed in the original units and is easy to explain to a non-technical audience.The MAD is 12 ÷ 5 = 2.4 — on average each value sits 2.4 units from the mean. The deviation table below lists every value’s distance so you can trace the result.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.The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 12 ÷ 5 = 2.4The MAD is 1
Imibuzo ebuza rhoqo
I-MAD ihlukile njani kwi-standard deviation?
I MAD iphakathi kokungalingani okupheleleyo, ngelixa uguqulelo olusezantsi luphakathi kokungalingani okuthe nkqo kwaye ke luthatha umngcambu othe nkqo. Kuba ayithe nkqo, i MAD inika ubunzima obuncinane kukungalingani okuthe nkqo kwaye ilula kakhulu ukuchaza, kodwa uguqulelo olusezantsi luneepropati zemathematika ezilungeleyo.
Ndiyibala njani i-MAD ngesandla?
Fumana umbindi, uyisuse kwixabiso ngalinye uze uthathe ixabiso elipheleleyo leziphumo zonke, emva koko uphakathi lomgama. Kwi 2, 4, 6, 8, 10 umbindi ngu 6 kwaye i MAD yi (4+2+0+2+4)/5 = 2. 4.
Ingaba ukuguquka okuphakathi okupheleleyo kufana nokuguquka okuphakathi?
Ewe, ezi zimbini zithetha into enye: umyinge womgama opheleleyo ukusuka kwinto ephakathi, ngokuqhelekileyo umyinge. Ezinye iincwadi zokufunda zilinganisela umgama ukusuka kumda ophakathi endaweni, onyusa umgama opheleleyo, kodwa le kalkulator isebenzisa umyinge.
Kutheni i-MAD isebenzisa amaxabiso apheleleyo?
Ukusuka kokuthe nkqo phezulu kwexesha eliphakathi kulungileyo kwaye okungaphantsi kubi, kwaye zihlala zidibanisa ku zero, ngoko ke umyinge wabo oqhelekileyo awusebenzi. Ukuthabatha ixabiso elipheleleyo lisusa uphawu ukuze wonke umgama ubalo, unika uvavanyo olunyanzelekileyo lokusasaza.
Ndifanele ndikhethe njani i-MAD ngaphezulu kokungalingani okuqhelekileyo?
Khetha i MAD xa ufuna uvavanyo lokusasaza olulula ukuchaza kwaye lunamandla amakhulu kumacala omabini, okanye xa ukujikelezisa kwenza ubunzima obungaphezulu kwamaxabiso amaninzi aphezulu. Uguqulelo olusezantsi lukhethwa xa ufuna iimpawu zemathematika ezidlalwa kuzo, ezinjengonikezelo oluqhelekileyo okanye uvavanyo olusekelwe kwindlela yokuziphatha.
Ingaba i-mean absolute deviation ingaba yi-zero?
Xa kuphela ixabiso ngalinye lilingana nexesha eliphakathi - oko kukuthi, xa zonke amanani afana kwaye akukho kusasazeka. Kungenjalo i MAD iya kuba yinani elilungileyo.
API — sebenzisa le calculator ukusuka kwikhowudi
Nceda le kalkulator njengendawo esemva ye-JSON ekhululekileyo - akukho qhosha lifunekayo. Thumela amaxabiso endawo engezantsi njengeparameter yombuzo okanye i-JSON. Funda i-API epheleleyo →
Incopho yesiphelo
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);IiNtlanganiso zeNtlanganiso yeNtlanganiso