En estadística, una media móvil es un cálculo utilizado para analizar un conjunto de datos en modo de puntos para crear series de promedios. Así las medias móviles son una lista de números en la cual cada uno es el promedio de un subconjunto de los datos originales. Por ejemplo, si se tiene un conjunto de 100 datos el primer valor de la serie de medias móviles podría ser el promedio de los primeros 25 términos, luego el promedio de los términos 2 al 26, el tercer elemento de los términos 3 al 27 y así, hasta por último el promedio de los últimos 25 números del 76 al 100. Una serie de medias móviles puede ser calculada para cualquier serie temporal. Se usa para demanda estable, sin tendencia ni estacionalidad; suaviza las fluctuaciones de plazos cortos, resaltando así las tendencias o ciclos de plazos largos.

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In statistics, a moving average (rolling average or running average) is a calculation to analyze data points by creating series of averages of different subsets of the full data set. It is also called a moving mean (MM) or rolling mean and is a type of finite impulse response filter. Variations include: , and , or forms (described below). Given a series of numbers and a fixed subset size, the first element of the moving average is obtained by taking the average of the initial fixed subset of the number series. Then the subset is modified by "shifting forward"; that is, excluding the first number of the series and including the next number following the original subset in the series. This creates a new subset of numbers, which is averaged. This process is repeated over the entire data series. The plot line connecting all the (fixed) averages is the moving average. A moving average is a set of numbers, each of which is the average of the corresponding subset of a larger set of datum points. A moving average may also use unequal weights for each datum value in the subset to emphasize particular values in the subset. A moving average is commonly used with time series data to smooth out short-term fluctuations and highlight longer-term trends or cycles. The threshold between short-term and long-term depends on the application, and the parameters of the moving average will be set accordingly. For example, it is often used in technical analysis of financial data, like stock prices, returns or trading volumes. It is also used in economics to examine gross domestic product, employment or other macroeconomic time series. Mathematically, a moving average is a type of convolution and so it can be viewed as an example of a low-pass filter used in signal processing. When used with non-time series data, a moving average filters higher frequency components without any specific connection to time, although typically some kind of ordering is implied. Viewed simplistically it can be regarded as smoothing the data.

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