What should an average 5' 3'' 14 year old female weigh?

110 lbs is average: Normal weight for a 14 year old girl that is 5'3" would be about 85-146 lbs. Normal includes a large range. The height you mention is average height, which means it is 50th percentile, or exactly in the middle of all 14 year old girls. The ideal weight, 50th percentile, would be 110 lbs. The term ideal is theoretical, so the normal range is what should used.