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The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and analysis, and are closely related to the concept of a measure. Weight functions can be employed in both discrete and continuous settings.
However, this does not account for the difference in number of students in each class (20 versus 30); hence the value of 85 does not reflect the average student grade (independent of class). The average student grade can be obtained by averaging all the grades, without regard to classes (add all the grades up and divide by the total number of ...
The second form above illustrates that the logarithm of the geometric mean is the weighted arithmetic mean of the logarithms of the individual values. If all the weights are equal, the weighted geometric mean simplifies to the ordinary unweighted geometric mean. [1]
Any money that Richard invested on Jan. 1 grew by 10% at the end of the year, but his specific pattern of investments led to an overall loss of 0.01%, his dollar-weighted return.
The U.S. Dollar Index (USDX, DXY, DX, or, informally, the "Dixie") is an index (or measure) of the value of the United States dollar relative to a basket of foreign currencies, [1] often referred to as a basket of U.S. trade partners' currencies. [2] The Index goes up when the U.S. dollar gains "strength" (value) when compared to other ...
The Marshall-Edgeworth index, credited to Marshall (1887) and Edgeworth (1925), [11] is a weighted relative of current period to base period sets of prices. This index uses the arithmetic average of the current and based period quantities for weighting. It is considered a pseudo-superlative formula and is symmetric. [12]
The rate of return on a portfolio can be calculated indirectly as the weighted average rate of return on the various assets within the portfolio. [3] The weights are proportional to the value of the assets within the portfolio, to take into account what portion of the portfolio each individual return represents in calculating the contribution of that asset to the return on the portfolio.
Chained Dollars: weighted by a basket/list that changes yearly to more accurately reflect actual spending. The basket is an average of the basket for successive pairs of years; example of paired years are 2010–2011, 2011–2012, etc. The technique is so named because the second number in a pair of successive years becomes the first in the ...