Deciding weather or not to be induced

I’ve been acting weekly scans since feb / March and the only thing they are saying is my baby is small I’m small her dad is small she’s gaining weight she’s not the 6 pounds they want her to be at 36 weeks but she’s been very active and no test have come back with something being wrong with her . My doctor wants to induce me just cause she small but I do not feel comfortable with the idea especially if nothing is wrong with her I wasn’t a big baby I was only 5 lbs and my husband was 4 .... I’ve decided to let my doctor know I will not be going in on my scheduled date for induction unless I am given an scan that morning to see how she is doing . I really want to go into labor naturally and not be induced and then put my body thru the stress and then it effect the baby.