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  2. Mean - Wikipedia

    en.wikipedia.org/wiki/Mean

    In some circumstances, mathematicians may calculate a mean of an infinite (or even an uncountable) set of values. This can happen when calculating the mean value of a function (). Intuitively, a mean of a function can be thought of as calculating the area under a section of a curve, and then dividing by the length of that section.

  3. Mean of a function - Wikipedia

    en.wikipedia.org/wiki/Mean_of_a_function

    The point () is called the mean value of () on [,]. So we write f ¯ = f ( c ) {\displaystyle {\bar {f}}=f(c)} and rearrange the preceding equation to get the above definition. In several variables, the mean over a relatively compact domain U in a Euclidean space is defined by

  4. Arithmetic mean - Wikipedia

    en.wikipedia.org/wiki/Arithmetic_mean

    In mathematics and statistics, the arithmetic mean (/ ˌ æ r ɪ θ ˈ m ɛ t ɪ k / arr-ith-MET-ik), arithmetic average, or just the mean or average (when the context is clear) is the sum of a collection of numbers divided by the count of numbers in the collection. [1]

  5. Assumed mean - Wikipedia

    en.wikipedia.org/wiki/Assumed_mean

    The method depends on estimating the mean and rounding to an easy value to calculate with. This value is then subtracted from all the sample values. When the samples are classed into equal size ranges a central class is chosen and the count of ranges from that is used in the calculations. For example, for people's heights a value of 1.75m might ...

  6. Average - Wikipedia

    en.wikipedia.org/wiki/Average

    Average of chords. In ordinary language, an average is a single number or value that best represents a set of data. The type of average taken as most typically representative of a list of numbers is the arithmetic mean – the sum of the numbers divided by how many numbers are in the list.

  7. Circular mean - Wikipedia

    en.wikipedia.org/wiki/Circular_mean

    A simple way to calculate the mean of a series of angles (in the interval [0°, 360°)) is to calculate the mean of the cosines and sines of each angle, and obtain the angle by calculating the inverse tangent. Consider the following three angles as an example: 10, 20, and 30 degrees.

  8. Average order of an arithmetic function - Wikipedia

    en.wikipedia.org/wiki/Average_order_of_an...

    For an integer the set of k th-power-free integers is := {}.. We calculate the natural density of these numbers in ℕ, that is, the average value of , denoted by (), in terms of the zeta function.

  9. Sample mean and covariance - Wikipedia

    en.wikipedia.org/wiki/Sample_mean_and_covariance

    The arithmetic mean of a population, or population mean, is often denoted μ. [2] The sample mean ¯ (the arithmetic mean of a sample of values drawn from the population) makes a good estimator of the population mean, as its expected value is equal to the population mean (that is, it is an unbiased estimator).