What should be the weight of a 32 yearold woman?

Weight: The normal weight range is dependent on the person's height. Without that data, the question cannot be answered properly.

Other factors..: come into play, in particular how tall you are. We really take height into consideration when determining what your ideal weight should be, as well as your age. Try this website: http://www.calculator.net/ideal-weight-calculator.html

A range: There are many factors here and I assume you are asking for the ideal weight. It depends upon your height, musculature, skeletal thickness, ethnicity, breast size, etc. You can get an idea from a BMI chart which you can google.