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By priority (also weighting, weighting factor, ) one understands the evaluation of individual factors of a solution regarding its importance. With the fact one causes that more relevant factors have larger influence on the result.

Computation

The weighted average value is calculated as follows:

If the datax_1, x_2, x_3, \ ldots, x_n
with the weightsg_1, g_2, g_3, \ ldots, g_n to be provided,

thus the weighted average value is calculated too m= \ frac {\ sum_i x_ig_i} {\ sum_i g_i} = \ frac {for x_1 \ cdot g_1 + x_2 \ cdot g_2 + x_3 \ cdot g_3 \ cdot \ ldots \ cdot x_n \ cdot g_n} {g_1 + g_2 + g_3 + \ cdots + g_n}

Example: A teacher wichtet third of 4 classroom tests doubly.

Notes:2, \, 4, \, 3, \, 2
Weights:1, \, 1, \, 2, \, 1
.
weighted average value:\ frac {1 \ cdot2+1 \ cdot4+2 \ cdot3+1 \ cdot2} {1+1+2+1} = \ frac {14} {5} = \ underline {2 {,} 8}

Application

Economics

Within the economical range weighing patterns apply in particular with the computation of goods baskets (and thus price indices) as well as effective rates of exchange.

Examinations

If an examination consists must a total result of the examination of several subjects and be formed, the single results the fan are summarized frequently with a certain weighting. For final examinations in recognized teaching professions mostly the training program for the occupation the weighting factors, in individual cases gives seizes also the respective test order.

See also

  • Average value

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