allowance or adjustment made in order to take account of special circumstances or compensate for a distorting factor

each score is then multiplied by the appropriate weighting, giving a weighted score

emphasis or priority

they will give due weighting to quality as well as price

hold (something) down by placing a heavy object on top of it

a mug half filled with coffee weighted down a stack of papers

attribute importance or value to

speaking, reading, and writing should be weighted equally in the assessment

assign a handicap weight to (a horse)

treat (a fabric) with a mineral to make it seem thicker and heavier