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The phrase "average proportion of children" is correct and usable in written English.
It can be used when discussing statistical data or demographic information related to children in a specific context.
Example: "The average proportion of children in the population has increased over the last decade."
Alternatives: "mean percentage of children" or "typical ratio of children".
Exact(6)
The average proportion of children claiming the benefit in state primary schools across Camden is 38.8%.
According to Sutton Trust, in the 100 most socially selective comprehensives, the average proportion of children from income deprived homes is 8.6%, against 20.1% in the schools' localities.
It has a higher than average proportion of children eligible for free school meals, while around 10% of pupils are from refugee or asylum-seeking families.
Alice Hudson, the head, says that Twyford is a comprehensive though she concedes that it has a larger than average proportion of children who, in days gone by, would have gone to grammar schools.
Less than 3% of grammar school pupils are eligible for free school meals (despite the fact that the average proportion of children entitled to them in these selective areas is 18%).
The school has a higher than average proportion of children with special educational needs, and a 50% A*-C GCSE pass rate including English and maths, slightly below the national average but it is improving and Goddard points out they have beaten the local authority's targets every year for the last five years.
Similar(54)
The latter serves as an indicator of public investments on behalf of the population of children, since only areas with higher than average proportions of children (criterion 1) have been selected.
For this purpose, a composite discourse score indicating the average proportion of genre features across the four samples was computed for each child.
We also coded school-level variables as above or below the national average: proportion of students reporting experience of sexual violence; proportion of students knowing of three child rights; proportion of students agreeing that boys and girls are equal; proportion of students reporting perpetration of sexual violence and proportion of students reporting drinking alcohol.
And there was always a higher than average proportion of handsome gay men.
The average proportion of high-sugar ("red") beverages available per access point declined (−27.8%, p<.001).
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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