Kalkulator Pergeseran Purata mutlak
Cari perbezaan mutlak purata (MAD) bagi set data.
Hasil dikemaskini semasa anda menaip.
Perihal kalkulator ini
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 find 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 ÷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.The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked example:The Worked
Pertanyaan yang kerap ditanya
Bagaimana MAD berbeza dari piawai deviasi?
MAD meratakan selisih mutlak, manakala selisih piawai meratakan selisih kuadrat dan kemudian mengambil akar kuadrat. Kerana ia tidak kuadrat, MAD memberi kurang berat kepada outlier dan sering lebih mudah dijelaskan, tetapi selisih piawai mempunyai sifat matematik yang lebih sesuai.
Bagaimana saya mengira MAD secara manual?
Cari purata, kurangkan ia dari setiap nilai dan ambil nilai mutlak setiap hasil, kemudian ratakan jarak-jarak tersebut. Untuk 2, 4, 6, 8, 10 purata adalah 6 dan MAD adalah (4+2+0+2+4)/5 = 2.4.
Adakah kesesakan mutlak purata sama dengan kesesakan purata?
Ya, kedua- dua istilah biasanya merujuk kepada perkara yang sama: purata jarak mutlak dari titik pusat, biasanya purata. Beberapa buku teks mengukur jarak dari median sebagai gantinya, yang mengurangkan jarak keseluruhan, tetapi kalkulator ini menggunakan purata.
Kenapa MAD menggunakan nilai mutlak?
Penyimpangan di atas purata adalah positif dan yang di bawah adalah negatif, dan mereka selalunya berjumlah sifar, jadi purata biasa mereka tidak berguna. Menggunakan nilai mutlak membuang tanda supaya setiap jarak dikira, memberikan ukuran penyebaran sebenar.
Bilakah saya patut pilih MAD berbanding piawai deviasi?
Pilih MAD apabila anda mahukan ukuran penyebaran yang mudah dijelaskan dan kuat kepada outliers, atau apabila kuadrat akan melebihkan beberapa nilai ekstrem. Sepenuhnya disyorkan apabila anda perlukan sifat matematik yang ia mengisi, seperti taburan normal atau ujian berasaskan varian.
Bolehkah perbezaan mutlak purata menjadi sifar?
Hanya bila setiap nilai sama dengan purata - iaitu, bila semua nombor adalah sama dan tiada penyebaran. Jika tidak, MAD sentiasa nombor positif.
API — gunakan kalkulator ini dari kod
Panggil kalkulator ini sebagai titik akhir JSON percuma - tiada kekunci diperlukan. Hantar nilai medan di bawah sebagai parameter pertanyaan atau JSON. Baca dokumen API penuh →
Titik Akhir
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);Hasil adalah perkiraan untuk panduan umum sahaja, bukan nasihat kewangan, perubatan atau cukai.