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- In mathematics and its applications, the mean square is normally defined as the arithmetic mean of the squares of a set of numbers or of a random variable. It may also be defined as the arithmetic mean of the squares of the deviations between a set of numbers and a reference value (e.g., may be a mean or an assumed mean of the data), in which case it may be known as mean square deviation.When the reference value is the assumed true value, the result is known as mean squared error. A typical estimate for the sample variance from a set of sample values uses a divisor of the number of values minus one, n-1, rather than n as in a simple quadratic mean, and this is still called the "mean square" (e.g. in analysis of variance): The second moment of a random variable, is also called the mean square.The square root of a mean square is known as the root mean square (RMS or rms), and can be used as an estimate of the standard deviation of a random variable. (en)
- 在数学及其应用中，均方（英語：mean square）是一组数字或随机变量的平方值的算术平均数，或一组数字与给定某数（例如数据的平均数或）之差的平方的算术平均值。 当均方相对于给定的“目标值”或“正确值”计算时，或者用作与一系列正确值之差的均方时，称为均方误差。 一组样本值的方差的无偏估计量要使用比样本容量的数字减1作为除数，而非简单地使用算术平均值，它仍然称为均方（例如在方差分析中）： 随机变量的二阶矩也称为均方。 均方的平方根称为均方根（RMS），可用作随机变量標準差的估计量。 (zh)
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- 在数学及其应用中，均方（英語：mean square）是一组数字或随机变量的平方值的算术平均数，或一组数字与给定某数（例如数据的平均数或）之差的平方的算术平均值。 当均方相对于给定的“目标值”或“正确值”计算时，或者用作与一系列正确值之差的均方时，称为均方误差。 一组样本值的方差的无偏估计量要使用比样本容量的数字减1作为除数，而非简单地使用算术平均值，它仍然称为均方（例如在方差分析中）： 随机变量的二阶矩也称为均方。 均方的平方根称为均方根（RMS），可用作随机变量標準差的估计量。 (zh)
- In mathematics and its applications, the mean square is normally defined as the arithmetic mean of the squares of a set of numbers or of a random variable. It may also be defined as the arithmetic mean of the squares of the deviations between a set of numbers and a reference value (e.g., may be a mean or an assumed mean of the data), in which case it may be known as mean square deviation.When the reference value is the assumed true value, the result is known as mean squared error. (en)
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