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"score on a scale" is correct and usable in written English.
It is usually used in the context of evaluating or assessing something. For example, "The professor scored the student's essay on a scale of 1 to 10."
Exact(59)
Trials use questionnaires to rate "sexual satisfaction," asking patients to score on a scale of one to six their agreement with statements like "I felt like having sex" and "I initiated sex".
In a legal dispute involving a corporate client (which he declines to name) and the United States attorney's office, he gave all the possible outcomes a score on a scale from zero (one misdemeanor count) to 100 (multiple felony charges including several specific, severe felonies).
The average raw score, on a scale of zero to one, was 0.78, with 0.35 as the lowest and 0.96 as the highest score.
Based on the above-mentioned characteristics of the symptoms each one of the 14 symptoms is rated with an individual score on a scale ranging from 0 to 4 (except depressive ideas scored from 0 to 5).
He gave each employee a score on a scale of 1 to 10.
The company used the data to identify the variables most associated with medication adherence and developed a risk score on a scale of 0 to 500.
The average rating of life satisfaction comes via data from the OECD conducted by Gallup World Poll and gives an average (mean) score on a scale from zero to 10 (the higher the number, the higher the life satisfaction).
When asked to vote on their confidence that the scans contribute to improved health outcomes for patients — longer survival, better quality of life, slower rates of decline, and avoidance of futile treatments or tests — experts gave an average 2.17 score on a scale of 1 to 5, with 1 being the lowest and 5 being the highest.
The EDSS provides a total score on a scale that ranges from 0 to 10.
Further, first year performance grade point score (on a scale of 10) was used to confirm the group equivalence.
Each question has a score on a scale 0 to 4. Overall OSDI score ranges from 0 to 100.
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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