Mean Absolute Deviation Calculator
Pezani the mwamsanga absolute deviation (MAD) ya deta set.
Zithunzizi zimasintha monga momwe mumalemba.
Zachidule
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.
Mafunso ofunsidwa nthawi zambiri
Kodi MAD ndi yosiyana bwanji ndi standard deviation?
MAD amapanga malire a zosagwirizana zosagwirizana, pomwe standard deviation amapanga malire a zosagwirizana ndipo kenako amatenga mbewu ya square. Chifukwa cha izi, MAD imapatsa malire ochepa kwa opanda pake ndipo nthawi zambiri ndi yosavuta kufotokoza, koma standard deviation ili ndi zinthu zambiri zothandiza za matematiki.
Kodi ndingatani kuti ndiwerenge MAD ndi manja?
Pezani malire, kuchotsa izo kuchokera pazosowa zonse ndi kulandira malire mwamphamvu ya zonse zotsatira, ndiye kuti malire a iwo maulendo.For 2, 4, 6, 8, 10 malire ndi 6 ndi MAD ndi (4 + 2 + 0 + 2 + 4) / 5 = 2.4.
Kodi kusiyana kwapakati pa kusiyana kwakukulu ndilo limodzi ngati kusiyana kwapakati pa kusiyana?
Ndikofunika kukumbukira kuti mawu awiriwa amatanthauza chinthu chimodzi: mtunda wozungulira wa makilomita onse kuchokera pamalo ozungulira, nthawi zambiri amatchedwa mtunda wozungulira. Ena mwa mabuku a m’Baibulo amagwiritsa ntchito mtunda wozungulira wa makilomita onse kuchokera pamalo ozungulira. Izi zimachepetsa mtunda wozungulira, koma nkhaniyi imagwiritsa ntchito mtunda wozungulira.
N’chifukwa chiyani MAD amagwiritsa ntchito mfundo zosawerengeka?
Kusinthasintha pamwamba pa mtunda ndi zopindulitsa ndipo pansi pa mtunda ndi zoipa, ndipo nthawi zonse zimafika ku zero, chifukwa chake mtunda wawo wokha ndi wopanda ntchito. Kutenga mfundo yoti zikhale zosatheka kumachotsa mfundoyo kuti mtunda uliwonse ukhale wofunika, popatsa mfundo yoti zikhale zopindulitsa.
Kodi ndiyenera kusankha MAD kuposa standard deviation?
Choose MAD when you want a spread measure that is easy to explain and robust to outliers, or when squaring would over-weight a few extreme values. Standard deviation is preferred when you need the mathematical properties it feeds into, such as the normal distribution or variance-based tests.
Kodi mwamsanga kusinthika kwa mfundo zazikulu ndi zero?
Koma pamene zonse mfundo ndi yofanana ndi mfundo - kuti, pamene onse mfundo ndi zofanana ndi palibe kufalitsa. Mwachitsanzo, MAD ndi nthawi zonse mfundo yopindulitsa.
API — kugwiritsa ntchito izi calculator kuchokera code
Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Kuti mudziwe zambiri, pitani ku www.json.org/json.html. Chomweko chilichonse chimene mumasiya chimagwiritsa ntchito mfundo yoyamba yomweyi yomwe tsambali limagwiritsa ntchito; mfundo yosadziwika ndi 400, siyiyenera kukhala zero yosadziwika. Onani zonse API docs →
Chithunzi
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);Zimenezi ndi zowerengera zokhudzana ndi malangizo amtundu uliwonse, si zokhudzana ndi ndalama, zamoyo kapena zokhudzana ndi ndalama.