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arithmetic mean

arithmetic mean

1 3.0
A number you get when you add numbers and divide by how many numbers there are
  • noun
  • /əˈrɪθmətɪk miːn/
  • Specialized
translation icon : media aritmética
  • To find the arithmetic mean, add all the numbers together and divide by the total count of values.
  • arithmetic mean and standard deviation
  • arithmetic mean of sample
  • arithmetic mean values

Examples

  • Values of percentage, frequency, arithmetic mean, and standard deviation were applied in the analysis and interpretation of the data.

    Academic text (2010)
  • The arithmetic mean of the five test scores was 76, indicating a general understanding of the material.

  • The average (arithmetic mean) age of the sample was about 23.

    Academic text (1991)
  • The output of an averaging filter is the arithmetic mean of a fixed time history of the signal.

    Academic text (1992)
  • Importantly, the arithmetic mean has remained fairly constant, but the standard deviation has gotten smaller.

    Academic text (1995)
  • We considered this sufficient to create a composite score, which we computed using the arithmetic mean of all 20 discomfort items.

    Academic text (2014)
  • The measures of central tendency are not enough for the comparison because two groups may have the same arithmetic mean, but they differ in the degree of dispersion.

    Academic text (2018)
  • Arithmetic means for male athletes on the vocabulary, reading, and writing indices were 14.85, 11.70, and 2.8, respectively.

    Academic text (1991)
  • Mean body weight decreased following training (arithmetic mean of sample = 67.6 versus 66.9 kg), but not significantly.

    Academic text (1991)
  • To paraphrase Gould's (1986) argument: For the past 100 years, the average (arithmetic mean) batting average has hovered around .260.

    Academic text (1995)

Synonyms

mean
vsarithmetic mean
  • Specialized
29 3.5

The average of a set of numbers

is the formal name for this common average
expectation
vsarithmetic mean
  • Specialized
27 7.9

The average value from many results of a random event

is the same average but for fixed data sets rather than random variables
first moment
vsarithmetic mean
  • Specialized
1 7.2

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

is the simple average calculated by summing and dividing by count
mean value
vsarithmetic mean
  • Specialized
1 3.4

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

is the basic average computed by summing values and dividing by count
ave
vsarithmetic mean
  • Specialized
7.7

A short form of average showing a typical number, like batting average

is the formal mathematical term rather than the casual shorthand

Surface Forms

Morphology

arithmetic + mean

The phrase is a straightforward adjective+noun composition: 'arithmetic' (relating to calculation) modifies 'mean' (the statistical average), so the meaning 'average computed by arithmetic operations' is directly derivable from the constituents. This is a transparent, technically specific but predictable formation found cross-linguistically, so a B1 learner who knows both words should understand it.

Etymology

Arithmetic mean comes from two simple ideas: arithmetic is about adding numbers and mean refers to a 'middle' amount. Imagine adding all the scores and then sharing them equally — the number each person would get is the arithmetic mean, which is why it means the 'average'.