Yes, you are right it is Family in singular and families in plural

As I understand it, it is a distinction between American and British English. American English treats most collective nouns as singular, with exceptions like "police" and "people," which use plural verbs. I have to say, my American ears strongly object to "the family are." If I were to say it, I am pretty sure Mrs. Holden, my sixth grade grammar teacher, would turn over in her grave.