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Question:

Can you explain the meaning of this statement?

The Statistical Abstract of the United States gives the median size of a home garden as 663 square feet.

Answer:

that means that exactly half of the gardens in the US are bigger and exactly half are smaller than that area.
The government compliles statistics, numerical data, on how people live and a 663 sq ft garden is at the 50th percentile, half have larger gardens, half smaller.
The average size of a home garden in the united states is 663 square feet.
An abstract is a sample of something. You may read abstract of an article and it essentially gives you a sample of what you are about to read. The statement a Statistical Abstract is essentially saying that when a poll was taken it was determined by the data that the median size of a home garden was 663 square feet. By saying a Statistical Abstract excuses them from having to bore you with how they collected the data. They just want you to know that there was research done and not made up. Kind of like this answer.

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