no...depends on cup size and muscle mass

you're ideal range is 90-100lbs for your age

healthy weight chart (females only)

5'0"=100lbs

5'1"=105lbs

5'2"=110lbs

5'3"=115lbs

5'4"=120lbs

5'5"=125lbs

5'6"=130lbs

5'7"=135lbs

5'8"=140lbs

5'9"=145lbs

(this weight chart gives a healthy weight to height ratio according to a BMI scale and even gives a few pounds to spare)

No, you are not fat. Do you think you are fat?

You are not fat - at all! http://www.nhlbisupport.com/bmi/