Grease the muffin cups of a standard size cupcake or muffin pan. Preheat oven to 375 degrees F.
Prepare the crumb topping in a small bowl. Combine all topping ingredients and stir well to combine thoroughly. Set aside.
Prepare the muffin batter. In a large mixing bowl, stir together the dry ingredients for muffins: all-purpose flour, whole wheat flour, baking soda, baking powder, and salt.
In a separate bowl, first add the bananas and mash well, then add sugar, egg, melted butter, vanilla extract, and ground nutmeg. Mix thoroughly. Pour the wet banana mixture into the large bowl with dry ingredients and fold it in, or stir gently just until ingredients are combined. Gently stir in chopped walnuts.
Divide the batter evenly among the 12 greased muffin cups, filling each cup about ⅔ full.
Sprinkle the crumb topping over the batter, dividing the crumb mixture evenly among the muffin cups. Gently press the crumbs into the batter.
Bake for 20 minutes or until muffins are done, domed and golden brown. They’re done when a toothpick inserted into the center emerges clean or internal temperature is 200 to 205 degrees F.
Cool for about 10 minutes before removing from pan.