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absolute deviation

absolute deviation

7.2
A measure of how far a data value is from the average or middle value
  • noun
  • /ˈæb.sə.luːt ˌdɪ.viˈeɪ.ʃən/
  • Specialized
translation icon : deviación absoluta
  • The statistician calculated the absolute deviation of each score from the mean to understand the data's variability.

Examples

  • The participant's score was the mean of the absolute deviations in degrees from the verticality over the eight trials.

    Academic text (2003)
  • However, as linear programming becomes better understood and readily available on the microcomputer, certain non-algebraic operations, including absolute deviation methods, may be more commonly used.

    Academic text (1993)
  • That would be called the "mean absolute deviation."

    Blog text (25)
  • The mean of the absolute deviations in degrees from the verticality over the eight trials was the participant's score.

    Academic text (2008)
  • We, instead of squaring them, we could just take their absolute values instead and come up with something called the least absolute deviations estimator.

  • Finally, there are quantile estimators which extend the sort of mean absolute deviation criterion.

  • Absolute deviation methods, whether they are applied to the measurement of variability or correlation, are generally regarded with disfavor because they are non-algebraic in nature.

    Academic text (1993)
  • To determine how spread out the data is, he found the absolute deviation of each value from the central point.

  • The absolute deviation provides a clear measure of how far each observation differs from the average.

Surface Forms

Morphology

absolute + deviation

‘Deviation’ clearly signals a difference from a norm, and in quantitative contexts ‘absolute’ often marks magnitude without regard to sign, so a learner knowing both words could plausibly infer this refers to the (non‑negative) difference from a point. However, the specialized statistical sense of ‘absolute’ (i.e. absolute value) is technical and not fully predictable from everyday meanings, so the term is only partially transparent to a B1 learner without prior exposure.

Etymology

Absolute deviation comes from a simple number-line idea: deviation is a value's 'difference' from a centre, and absolute means we ignore plus or minus and take only the distance. So absolute deviation is literally the 'how far away' a number is from the average or middle value, which is why it measures how spread out the data are.