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The 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.
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. Because it averages plain distances rather than squared ones, the MAD is expressed in the original units and is easy to explain to a non-technical audience.
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 = 2.4 — 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.
Maswali yaliyoulizwa mara nyingi
MAD ni tofauti jinsi gani na kukengeuka kwa kiwango?
MAD ina wastani wa kasoro kamili, ilhali upotovu wa kawaida hupima kasoro za mraba na kisha kuchukua mzizi wa mraba. kwa sababu haitokezi, MAD hutoa uzito mdogo zaidi kwa warukaji na mara nyingi huwa rahisi kueleza, lakini kasoro ya kawaida ina uwezo mwingi wa hisabati.
Ninakadiriaje MAD kwa mkono?
Pata maana, ondoa thamani yake kutoka kila thamani na uchukue thamani kamili ya kila matokeo, kisha wastani wa umbali huo. Kwa 2, 4, 8, 10 maana yake ni 6 na MAD ni (4+2+0+4)/5 = 2.4.
Je, ni sawa na kukengeuka kabisa?
Naam, maneno hayo mawili mara nyingi hurejezea jambo lilelile: wastani wa umbali kamili kutoka mahali pa katikati, mara nyingi ndio maana. [
Kwa nini MAD hutumia kanuni kamili?
Vizuiaji vilivyo juu ya ukusudi huo ni chanya na vile vilivyo chini ni hasi, na sikuzote vinajumlika kuwa sufuri, kwa hiyo wastani wao ulio wazi hauna faida yoyote.
Ni wakati gani ninapopaswa kupendelea MAD badala ya kukengeuka kwa kawaida?
Chagua hatua ya kupandisha ambapo ni rahisi kueleza na kuwa na nguvu zaidi kwa wapita - njia, au wakati ambapo unyang'anyi utazidi uzito wa viwango vya juu. Utapenda zaidi ikiwa unahitaji mambo ya hisabati yanayouingiza, kama vile usambazaji wa kawaida au upimaji wa kitofautio.
Je, inawezekana kwamba kukengeuka kabisa ni sufuri?
Wakati kila thamani inapotoshana na bustanini יהוה, wakati idadi zote zinafanana na hakuna inayoenea.
API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria
Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →
keyboard label
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);
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