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"weighted" is a correct and usable word in written English.
You can use it as an adjective to describe something that is given extra weight, influence, or importance (e.g. a weighted decision, a weighted vote, a weighted average). Example: The council's vote was weighted in favor of the proposal.
Dictionary
weighted
adjective
Having weights on it.
synonyms
Exact(47)
Interviews were conducted across the country and the results have been weighted to the profile of all adults.
Results have been weighted to nationally representative criteria.
The death penalty, the awful symbol of a criminal justice system weighted against the poor.
The home secretary said aspects of the study's methodology concerned her, saying the research was disproportionately weighted towards London, focused too heavily on rioters and underplayed the role of criminality.
School budgets are currently weighted to allow extra funding for children from deprived backgrounds.
Interviews were conducted across Scotland and the results have been weighted to all Scottish adults.
Similar(13)
Here are five to consider: At present about 60% of primary schools in England receive higher age-weighted pupil unit (AWPU) funding for pupils in key stage 2 than in key stage 1.
In the next four months alone they're taking part in a relay marathon in Redbridge (east London), a relay from Birmingham to London, attempting to notch up yet more records at the Norway KnarvikMila where times are age-weighted, and they are joining a British team with a total age of 1,000 years at the Toronto Waterfront marathon to challenge a team of Canadian elders over a 5km course.
The DJIA is composed of just 30 stocks and is price-weighted, so dearer shares count for more.
Its trade-weighted decline for the year was only 3.3%.But traders went into 2012 betting on a further fall.
The greenback has soared by 18% since July against a trade-weighted basket of currencies.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com