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On any given day an average of 400 children is receiving care in one of seven major programs providing home health care, respite services, medical day programming, early intervention therapies, well and sick health care at the Family Healthcare Campus on the grounds of Child Haven, in our High Risk Infants clinic, and/or in our Behavioral Health Program. Many children receive multiple services

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    Definitely 'are'. But the bigger problem with the sentence is that it's ridiculously long and needs to be broken up. – eyeballfrog Aug 21 '19 at 21:35
  • The noun "average" (when used with the article "a") is number-transparent in that the number of the whole NP for verb agreement purposes is determined by the number of the noun that is complement to "of" (called the oblique). Since "average" selects only plural obliques, the verb should also be plural, i.e. "are". – BillJ Aug 22 '19 at 6:10
  • More than one child is receiving. Ergo, the subject is plural and the verb plural. – Nigel J Aug 22 '19 at 6:43
  • @NigelJ The head of the NP "an average of 400 children" is the singular noun "average" so the subject is strictly speaking singular. But the NP that is complement of the preposition "of", i.e. "400 children" determines the verb-form. – BillJ Aug 22 '19 at 9:59
  • @BillJ My definition of 'subject' is somewhat old school and conceptual. – Nigel J Aug 22 '19 at 10:17
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Neither. Use "...children receive..."

The present continuous ("is/are receiving") should be used for recurring events that are not expected to continue into the foreseeable future. If this were the correct usage of the present continuous, it would be plural, since children is a collective noun.

The present simple ("receive") should be used (for want of a better reference) for recurring events that you expect will continue to occur in the foreseeable future.

On any given day an average of 400 children receive care in one of seven major programs...

You got it right in the last sentence:

Many children receive multiple services...

I agree with eyeballfrog's second point, that the first sentence needs to be simplified. Maybe try:

On any given day an average of 400 children receive care in one of seven major programs at the Family Healthcare Campus (Child Haven), in our High Risk Infants clinic, and in our Behavioral Health Program. Many children receive receive multiple services[...] Service include home health care, respite services, medical day programming, early intervention therapies, and well and sick health care.

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    OK. I frequently hear statements like the original sentence (with the correct conjugation, of course). Maybe it's for recurring events we wish wouldn't continue, e.g. "Hundreds of people are being housed in homeless shelters every day." – Barmar Aug 21 '19 at 22:29
  • @Barmar, I've now responded to three of your comments, after which you've deleted all three, so I'll let someone else address this one. If you have a new question, please ask as a new question in the relevant forum. – mRotten Aug 21 '19 at 22:36
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    I deleted the comments because you addressed them, so they're no longer needed. – Barmar Aug 21 '19 at 22:37
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    That makes sense actually. My apologies. – mRotten Aug 21 '19 at 22:39
  • @Barmar, yeah the rules for use of the present continuous and whether something is expected to continue are a little vague. In this case, it looks like some marketing copy for a hospital system, so they likely hope that children continue to receive care there. One exception I can think of is if the facility is closing for some reason. Then present continuous is correct. – mRotten Aug 21 '19 at 22:43

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