The phrase "a weighted average based" is not correct as it is incomplete and lacks a noun to follow "based." You can use it in contexts where you want to describe something that is derived from or relies on a weighted average, but it needs to be part of a complete phrase.
Example: "The results are calculated using a weighted average based methodology."
Alternatives: "derived from a weighted average" or "founded on a weighted average."
For workers with multiple jobs, the measure is a weighted average based on the hours worked in each job.
This chapter describes, in detail, a method for predicting mean repair times and explains the need for a weighted average based on relative failure rates.
We've then multiplied the average Internet spend per user in each market with the number of unique users each social network has in that market, essentially creating a "weighted average" based on the advertising dollars chasing users.
This process calculates a weighted average based on all of image frames, and the current frame is assigned the maximum weight.
We combined these age groups using a weighted average based on estimated population size.
Similarly, for states with multiple studies in a time period, a summary prevalence was calculated using a weighted average based on study population size.
Subsequently, a weighted averaging based on the thickness of each zone/subzone was performed.
This value is derived from the composite array produced by the analysis software, in which each feature of replicate arrays underwent a weighted averaging based on feature quality.
Based on the Rosetta error model designed for the Agilent platform, a composite array was generated at each time point from replicate arrays, in which the data for each feature underwent a weighted averaging based on feature quality from the individual array.
To identify a representative value in this range, a Koc weighted average based on the percent peak area of the test solutions was calculated to be 1.06, resulting in a Log Koc estimate of 0.024.
Metacritic gave the album a Metascore a weighted average based on the impressions of a select 12 critical reviews of 59, signifying mixed or average reviews.
