 | Thomas Galloway - 1839 - 248 pages
...of the element is found by multiplying each observation by a number proportional to its weight, and dividing the sum of the products by the sum of the weights ; and the comparative weight of the result is unit divided by the sum of all the weights. If the weights... | |
 | Denison Olmsted - 1860 - 492 pages
...from that point is obtained by multiplying each weight into its own distance from the same point, and dividing the sum of the products by the sum of the weights. Let A, B, Fio. M. 0 ABCD i O °— i • <i G C, and D, represent the weights of several bodies, whose... | |
 | Mansfield Merriman - 1877 - 220 pages
...probable value of the measured quantity is found by multiplying each observation ly its weight, and dividing the sum of the products by the sum of the weights. This value Z is called the General Mean to distinguish it from the arithmetical mean 20, which is only... | |
 | Sydney Lupton - 1882 - 374 pages
...accuracy. The mean of the measured quantity is found by multiplying each observation by its weight, and dividing the sum of the products by the sum of the weights. The probable error of this general mean is *J9i +ffa+92+ &c- V n - 1 Thus the quantity of hydrogen... | |
 | Charles Leander Doolittle - 1883 - 666 pages
...value of the unknown quantity •will be obtained by multiplying each observation by its weight, and dividing the sum of the products by the sum of the weights. It is clear that the difference of weights may result from a variety of causes other than the simple... | |
 | Mansfield Merriman - 1884 - 216 pages
...probable value of the unknown quantity z is obtained by multiplying each observation by its weight, and dividing the sum of the products by the sum of the weights. In order to distinguish this process from that of the arithmetical mean, it is sometimes called the... | |
 | H. C. Godwin - 1890 - 396 pages
...most probable value of the results will be found by multiplying each observed value by its weight, and dividing the sum of the products by the sum of the weights, the result being that value which renders the sum of the products of the squares of the errors and... | |
 | Denison Olmsted - 1891 - 496 pages
...from that point is obtained by multiplying each weight into Us own distance from the same jtuitU, and dividing the sum of the products by the sum of the weights. Let A, B, C, and D, represent the weights of several bodies, whose centres of gravity are in the straight... | |
 | Dascom Greene - 1892 - 176 pages
...value is found, as indicated by (30), by multiplying the result of each observation by its weight, and dividing the sum of the products by the sum of the weights. 192. Equations of Condition. — In the case next to be considered, the unknown quantity is not itself... | |
 | 1894 - 444 pages
...quartz particles was obtained by multiplying all the quartz weights in columns 5 by their diameters, and dividing the sum of the products by the sum of the weights. The galena figures in column 5, treated similarly, give an average diameter for the galena particle.... | |
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A weighted arithmetic mean is obtained by multiplying each value by some non-negative weight before summation and then dividing the sum of the products by the sum of the weights. 
