The child is probably not poorer than its parents, but instead, I'm guessing households with children are poorer on average, and even more so the more children

The child is probably not poorer than its parents, but instead, I'm guessing households with children are poorer on average, and even more so the more children they have. This would then mathematically result in children being poorer on average if this is determined by the household they live in. If poor people have more children, then children are going to be poor overall. I agree it's very confusing.