# Arithmetic mean

the mean obtained by adding several quantities together and dividing the sum by the number of quantities:

the arithmetic mean of 1, 5, 2, and 8 is 4.

Historical *Examples*

Then it will be sufficient to take the arithmetic mean of the two adjustments.

The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method Henri Poincar

In the construction of such an index number the use of the arithmetic mean is not imperative.

Readings in Money and Banking Chester Arthur Phillips

The usual method is to take the arithmetic mean of the values obtained as the correct value.

The New Gresham Encyclopedia Various

If, first, we take the arithmetic mean of these limits, we get 117 millions of years.

The Birth-Time of the World and Other Scientific Essays J. (John) Joly

**noun**

an average value of a set of integers, terms, or quantities, expressed as their sum divided by their number: the arithmetic mean of 3, 4, and 8 is 5 Often shortened to mean Also called average Compare geometric mean

arithmetic mean a·rith·me·tic mean (ə-rĭth’mĭ-tĭk)

n.

The value obtained by calculating the sum of a set of quantities and then dividing that sum by the number of quantities in the set. Also called average.

arithmetic mean

(ār’ĭth-mět’ĭk)

The value obtained by dividing the sum of a set of quantities by the number of quantities in the set. For example, if there are three test scores 70, 83, and 90, the arithmetic mean of the scores is their sum (243) divided by the number of scores (3), or 81. See more at mean. Compare average, median, mode.

mathematics

The mean of a list of N numbers calculated by dividing their sum by N. The arithmetic mean is appropriate for sets of numbers that are added together or that form an arithmetic series. If all the numbers in the list were changed to their arithmetic mean then their total would stay the same.

For sets of numbers that are multiplied together, the geometric mean is more appropriate.

(2007-03-20)

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a sequence in which each term is obtained by the addition of a constant number to the preceding term, as 1, 4, 7, 10, 13, and 6, 1, −4, −9, −14. Historical Examples (b) Derive the formula for the sum of n terms of an arithmetic progression. A Review of Algebra Romeyn Henry Rivenburg noun […]

- Arithmetic-series
a sequence in which each term is obtained by the addition of a constant number to the preceding term, as 1, 4, 7, 10, 13, and 6, 1, −4, −9, −14. noun a sequence of numbers or quantities, each term of which differs from the succeeding term by a constant amount, such as 3,6,9,12 Compare […]

- Arithmetical
the method or process of computation with figures: the most elementary branch of mathematics. Also called higher arithmetic, theoretical arithmetic. the theory of numbers; the study of the divisibility of whole numbers, the remainders after division, etc. a book on this subject. Also, arithmetical. of or relating to arithmetic. Historical Examples Now here, with an […]

- Arithmetically
the method or process of computation with figures: the most elementary branch of mathematics. Also called higher arithmetic, theoretical arithmetic. the theory of numbers; the study of the divisibility of whole numbers, the remainders after division, etc. a book on this subject. Also, arithmetical. of or relating to arithmetic. Historical Examples There is present, of […]