Arithmetic-mean Synonyms

ărĭth-mĕtĭk
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.
Synonyms:
  1. average
  2. mean
  3. expectation
  4. expected-value
  5. first moment
  6. sample-mean
  7. simple average
The sum of the values of a random variable divided by the number of values
(Noun)
Synonyms:
  1. first moment
  2. expectation
  3. expected-value

Arithmetic-mean Sentence Examples

  • Mention may also be made of his chapter on inequalities, in which he proves that the arithmetic mean is always greater than the geometric mean.

  • These theorems, which hold for the motion of a single rigid body, are true generally for a flexible system, such as considered here for a liquid, with one or more rigid bodies swimming in it; and they express the statement that the work done by an impulse is the product of the impulse and the arithmetic mean of the initial and final velocity; so that the kinetic energy is the work done by the impulse in starting the motion from rest.

  • In the latter case the two sections are taken at distances t 2H/ A l 3 = = 2887H from the middle section, where H is the total internal length; and their arithmetic mean is taken to be the mean section of the cask.

  • The significance of the word "mean," i.e., middle, is seen by considering 3 instead of n quantities; these will be denoted by a, b, c. The arithmetic mean b, is seen to be such that the terms a, b, c are in arithmetical progression,.

  • The proper statement is that, if a and b are the sides, the area is equal to the area of a rectangle whose sides are a and tb; this being, in fact, a particular case of the proposition that the area of a trapezium is equal to the area of a rectangle whose sides are its breadth and the arithmetic mean of the lengths of the two parallel sides.

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