Example: What is the harmonic mean of 1, 2 and 4? The reciprocals of 1, 2 and 4 are: 11 = 1, 12 = 0.5, 14 = 0.25 Now add them up: 1 + 0.5 + 0.25 = 1.75 Divide by how many: Average = 1.753 The reciprocal of that average is our answer: Harmonic Mean = 31.75 = 1.714 ...
harmonic mean noun , statistics. the mean obtained by taking the reciprocal of the arithmetic mean of the reciprocals of a set of nonzero numbers. discover more word history and origins origin of harmonic mean 1 first recorded in 1880–85 discover more example sentences the harmonic mean of n...
For example, if X is a 2-by-3-by-4 array, then harmmean(X,[1 2]) returns a 1-by-1-by-4 array. Each element of the output array is the harmonic mean of the elements on the corresponding page of X. example m = harmmean(___,nanflag) specifies whether to exclude NaN values ...
harmonic mean noun grammar (mathematics) A type of measure of central tendency calculated as the reciprocal of the mean of the reciprocals, ie, H = { n \over {1 \over x_1} + {1 \over x_2} + \cdots {1 \over x_n} } [..] + Add English-Chinese dictionary ...
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Statistics - Harmonic Mean - Harmonic Mean is also a mathematical average but is limited in its application. It is generally used to find average of variables that are expressed as a ratio of two different measuring units e. g. speed is measured in km/hr
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example Examples collapse all Compare Harmonic and Arithmetic Mean Set the random seed for reproducibility of the results. rng('default') Create a matrix of exponential random numbers with 5 rows and 4 columns. X = exprnd(1,5,4) X =5×40.2049 2.3275 1.8476 1.9527 0.0989 1.2783 0.0298 0.8633...
For example, if X is a 2-by-3-by-4 array, then harmmean(X,[1 2]) returns a 1-by-1-by-4 array. Each element of the output array is the harmonic mean of the elements on the corresponding page of X. example m = harmmean(___,nanflag) specifies whether to exclude NaN values ...
Example of the Harmonic Mean One company has amarket capitalizationof $100 billion and earnings of $4 billion (P/E of 25), and the other company has a market capitalization of $1 billion and earnings of $4 million (P/E of 250). In an index made of the two stocks, with 10% invest...