I-Calculator ye-Mean Absolute Deviation
Thola isilinganiso sokungalingani okuphelele (MAD) kweset data.
Iziphetho zivuselelwa uma ubhala.
Malunga nale khadi
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 MAD is 12 ÷ 5 = 2.4 — on average each value sits 2.4 units from the mean.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 —Worked example: for 2, 4, 6, 8, 10 the mean is 6. The absolute deviations are 4, 2, 0, 2, 4, 10, 12, 14, 16, 20, 24, 32, 36, 40, 44, 50, 56, 64, 68, 72, 84, 96, 100, 1000, 10, 10,
Imibuzo ebuzwa kaningi
Indlela MAD ezahlukene kusuka standard deviation?
I-MAD iphakathi kwezingama-deviations eziphelele, ngenkathi i-standard deviation iphakathi kwezingama-deviations ezi-squared bese ithatha umsila wesikwere. Ngenxa yokuthi ayi-square, i-MAD inikeza ubunzima obuncane kuma-outliers futhi ivame ukucaciswa, kodwa i-standard deviation inezici ze-mathematical ezilula.
Ngiyibala kanjani i-MAD ngesandla?
Thola umphakathi, shiya ixabiso ngalinye bese uthatha ixabiso eliphelele lemiphumela yonke, bese uthatha umphakathi walezo zindawo. Ku-2, 4, 6, 8, 10 umphakathi ngu-6 futhi i-MAD yi (4+2+0+2+4)/5 = 2.4.
Ingabe ukuhluka okuphelele okuphakathi kufana nokuphakama okuphakathi?
Yebo, lezi zinto ezimbili zibhekisa kulokho okufanayo: umphakathi webanga eliphelele kusuka endaweni ephakathi, ngokuvamile ibanga eliphakathi. Ezinye izincwadi zokufunda zilinganisela ibanga kusuka ephakathini endaweni, okunciphisa ubude obuphelele, kodwa le kalkuli isebenzisa ibanga eliphakathi.
Kungani i-MAD isebenzisa amaxabiso aphelele?
Ukuhluka okuphezulu kwesilinganiso kulungile kanti okungaphansi kubi, futhi zihlala zihlanganisa kuze kube yi-zero, ngakho-ke umphakathi wabo ojwayelekile awusebenzi. Ukuthatha inani eliphelele lisusa uphawu ukuze wonke umzila ubalolwe, ukunikeza ukuhlolwa okusemthethweni kokusakazeka.
Ngabe kufanele ngikhethe MAD ngaphezulu kwesilinganiso sokungalingani?
Khetha i MAD uma ufuna ukuhlolwa kokuphakama okulula ukuchaza futhi okuqinile ku-outliers, noma uma ukudweba kwenza ubunzima obuningi kumanani ambalwa aphezulu. Ukuhluka okujwayelekile kukhethwa uma ufuna izici zamathematika ezidlalwa ngaphakathi, njenge-distribution ejwayelekile noma ukuhlolwa okusekelwe ku-variance.
Ingabe isilinganiso sokungalingani okuphelele singawu zero?
Uma kuphela uma ixabiso ngalinye lilingana nezinga eliphakathi — lokho kusho, uma zonke inani lifana futhi akukho ukusakazeka. Uma kungenjalo i-MAD ihlala iyisibalo esi positive.
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Ingxenye yendawo
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);Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.