People do not use family in the way you are describing; have you ever said, "my family are taking a vacation this summer" or "the whole family are sick"?

I do not know why you are insisting on making the sentence awkward and bizarre. It is not appropriate the way you are using it. I have offered to work with you, and instead you are just reverting the sentence. This is not helpful and does not improve the article.

I have made a different edit this time. This one is just as accurate as all of the other sentences I have written but makes "distributions" the subject. Hopefully that will be more to your liking.