The noun weight has 8 senses (first 5 from tagged texts)
1. (29) weight -- (the vertical force exerted by a mass as a result of gravity)
2. (5) weight, free weight, exercising weight -- (sports equipment used in calisthenic exercises and weightlifting; it is not attached to anything and is raised and lowered by use of the hands and arms)
3. (4) weight, weightiness -- (the relative importance granted to something; "his opinion carries great weight"; "the progression implied an increasing weightiness of the items listed")
4. (3) weight -- (an artifact that is heavy)
5. (2) weight -- (an oppressive feeling of heavy force; "bowed down by the weight of responsibility")
6. system of weights, weight -- (a system of units used to express the weight of something)
7. weight unit, weight -- (a unit used to measure weight; "he placed two weights in the scale pan")
8. weight, weighting -- ((statistics) a coefficient assigned to elements of a frequency distribution in order to represent their relative importance)
Overview of verb weight
The verb weight has 2 senses (first 2 from tagged texts)
1. (1) burden, burthen, weight, weight down -- (weight down with a load)
2. (1) slant, angle, weight -- (present with a bias; "He biased his presentation so as to please the share holders")