Small baby?

Hi everyone! I’m currently 37+3 and I went in for my weekly appointment yesterday. She said that I look small and had me get another ultrasound. There I found out that my baby girl is around 6.5 pounds. Should she be bigger? That doesn’t seem so small to me. The ultrasound lady said everything looks perfect. My doctor also told me that they don’t like to let you go past your due date, so if I don’t go into labor before March 4, they will induce me. Is that common?