KCharselect unicode block name
Find the mean absolute deviation (MAD) of a data set.
Results update as you type.
[Translation temporarily unavailable. Please try again.]
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 ÷ 5The mean absolute deviation (MAD) is the average distance between each value and the mean, using absolute values so distances never cancel out.The mean absolute deviation (MAD) is the average distance between each value and the mean.Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute deviation (MAD)Worked example:The mean absolute de
Tambayoyi da ake yi da yawa
How is MAD different from standard deviation?
MAD averages the absolute deviations, while standard deviation averages the squared deviations and then takes a square root. Because it does not square, MAD gives less weight to outliers and is often easier to explain, but standard deviation has more convenient mathematical properties.
Ta yaya zan ƙididdige MAD da hannu?
Find the mean, subtract it from each value and take the absolute value of every result, then average those distances. For 2, 4, 6, 8, 10 the mean is 6 and the MAD is (4+2+0+2+4)/5 = 2.4.
Shin, ɓata ta tsakiya mai tsanani tana daidaita da ɓata ta tsakiya?
Yes, the two terms usually refer to the same thing: the average of the absolute distances from a central point, most often the mean. Some textbooks measure the distances from the median instead, which minimises the total distance, but this calculator uses the mean.
Me yasa MAD ke amfani da kimar-ciki?
Deviations above the mean are positive and those below are negative, and they always sum to zero, so their plain average is useless. Taking the absolute value strips the sign so every distance counts, giving a genuine measure of spread.
When should I prefer MAD over 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.
QSoftKeyManager
Only when every value equals the mean — that is, when all the numbers are identical and there is no spread. Otherwise the MAD is always a positive number.
[Translation temporarily unavailable. Please try again.]
[Translation temporarily unavailable. Please try again.] Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. [Translation temporarily unavailable. Please try again.] →
Endpoint
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);Results are estimates for general guidance only, not financial, medical or tax advice.