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expected value

expected value

2 6.6
You find the average result you expect by adding each possible outcome times its chance
  • noun
  • /ɪkˈspɛktɪd ˈvælju/
  • Specialized
translation icon : valor esperado
  • To determine the best strategy, we must calculate the expected value of each potential outcome based on its probability.
  • change in expected value
  • expected value of this quantity
  • expected value of information

OK, so it turns out the expected value of all of these gambles is actually not as you chose.

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Examples

  • Investors often look at the expected value of a project to assess its potential profitability over time.

  • In this case, the nominal stock of government debt is equal to the expected value of the government's primary surplus.

    Academic text (2017)
  • All right now the expected value of R is easy.

  • So this is F of the expected value of X.

  • We want the expected value of some function G of X.

  • But this formula is something we use to estimate the expected value of X and it says that.

  • Determine the costs and benefits of alternative information collection strategies and the expected value of further study.

    Academic text (2007)
  • So the mean is MU and it's equal to the expected value of X.

  • Finally, closer ties between PLM and PPM help ensure projects achieve their expected value.

    Academic text (2011)
  • So recall the formula for the mean or expected value of the binomial is NP.

Synonyms

mean
vsexpected value
  • Specialized
29 3.5

The average of a set of numbers

weights possible values by their probabilities rather than simple counts
expectation
vsexpected value
  • Specialized
27 7.9

The average value from many results of a random event

uses outcome probabilities to weight values when averaging
first moment
vsexpected value
  • Specialized
1 7.2

The average of a set of numbers that you get by adding them and dividing by how many there are

weights values by their occurrence probabilities before summing
mean value
vsexpected value
  • Specialized
1 3.4

The average of numbers found by adding them and dividing by how many there are

instead computes a probability-weighted sum of all possible outcomes
arithmetic mean
vsexpected value
  • Specialized
1 3.0

A number you get when you add numbers and divide by how many numbers there are

incorporates probabilities to weight each possible value when averaging

Surface Forms

Morphology

expected + value

A learner who knows 'expected' (likely to happen) and 'value' (worth/amount) can plausibly infer that this refers to the value one would 'expect' — i.e. a typical or anticipated amount — so there is a clear compositional link. However, the precise statistical sense (the probability-weighted mean and how it is calculated) is technical and not fully predictable from the words alone, so it requires domain knowledge or instruction. Cross-linguistic equivalents (e.g. French 'valeur attendue', Spanish 'valor esperado', Chinese '期望值') make the general idea accessible but not the full technical detail.

Etymology

Expected value comes from the simple idea of listing every possible result, giving each result its chance, and then taking their 'average'. So expected and value together point to the 'average' outcome you would expect if you repeated the action many times.