My DD6 was(and is) just like you've described. Before she went to school I'd be exhausted at the end of the day after trying to keep up with her activity hopping all day. Most of the time I don't think I was successful, but she was and is a very happy girl so we must have done a pretty good job. Similar to HoosierMoomy's dd, mine is not very athletic, but spends most of her time dancing around the house to either music she hears in her head or that is actually playing on the radio.
She even convinced her Grammy to let her help sew with her sewing machine when she was 2 1/2!!
My DD is gifted and is our oldest, so I don't know is typical kids do this or not, but my friends' children never seemed quite so diverse in their interests.