Is the number of children in a family a continuous variable?

On the contrary, the number of children in a given family is a discontinuous variable. If you were talking about averagenumbers of children, that would be a continuous variable because the average could be any number, 2.3987, or 3.07428, and so forth. But in a given family, the number of children is always an integer. You can have none, or one, or two, or three, etc., but you cannot have two and a quarter children. So the variable is not continuous.