"being" in reduced relative clauses

[Mori]

According to the pie chart, the Australians have the most space with the average house size being 214 m2.

Source: Mindset for IELTS Level 2, page 16

It seems to be the reduced form of "with the average house size which is 214 m2". Can we simply delete "being"?

How about the following sentences?
My book is the one which is on the table. = My book is the one on the table.
Can we say "My book is the one being on the table." instead?

 

[jutfrank]

It seems to be the reduced form of "with the average house size which is 214 m2". Can we simply delete "being"?

No and no. The word being is the linking verb in the clause, so it's essential. If you rewrite the content of the clause to the average house size is 214 m2, hopefully you'll see that the verb BE is essential. The fact that the content of the clause comes after the preposition with requires that the clause is written with an -ing form of BE rather than a finite is.

How about the following sentences?
My book is the one which is on the table. = My book is the one on the table.

Yes, that's okay. That's a relative clause, so BE is finite.

 

[Mori]

Yes, that's okay. That's a relative clause, so BE is finite.

That means "My book is the one being on the table." is incorrect, right?

 

[5jj]

It is incorrect.

 

[jutfrank]

My book is the one on the table.

You can think of the sentence above as a reduction of My book is the one (that is) on the table. The sentence as a whole identifies the speaker's book among a set of books.

My book is the one being on the table.

If you say this, it's a reduction of My book is the one (that is) being on the table. Does that sound right to you?

 

[Mori]

If you say this, it's a reduction of My book is the one (that is) being on the table. Does that sound right to you?

Perfect answer! Thank you!

 

[Mori]

The fact that the content of the clause comes after the preposition with requires that the clause is written with an -ing form of BE rather than a finite is.

I wonder if the following is a similar case:

The report also revealed, however, that on average people only use a small number of trusted news sources on their phones, the average across all countries being 1.52 per person.

Source: Mindset for IELTS Level 2, page 49

I assume that "the average across all countries being 1.52 per person" is an adverb phrase equal to "with the average across all countries being 1.52 per person". Is it correct?