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The phrase "average family size" is correct and usable in written English.
It can be used when discussing demographic statistics or social studies related to households and families.
Example: "According to the latest census data, the average family size in the region has decreased over the past decade."
Alternatives: "typical family size" or "mean family size".
Exact(60)
The average family size is quite large.
The average family size is three.
(The average family size is 10).
In that decade, the average family size plummeted from six to three children.
Though the average family size is shrinking, square footage is growing.
With an average family size of 2.32, that figure represents 927,000 people in the UK.
In the 1960's, when the total population was above 10,000, the average family size was 3.1 persons.
Any potential effect is amplified in a state like Utah, which has the highest average family size in the nation.
"Doing nothing will ensure that couple fertility and average family size will decline below even its present low level and place ever greater strains on society".
The average family size for women aged 47 this year is 1.92 children, a marked decrease from the 2.34 children their mothers would have had.
Given the below-replacement average family size chosen by women in this country, that could bring the UK to 30 million by 2130".
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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