Hello K.! This is one of those questions that is going to vary so much and there is not a normal time.. it will all depend on the child..
That being said, I walked after I turned 1 years old. My mom says I never really crawled, I scooted on my bottom. She said she was really upset cause everybody else's children seemed to be walking by the age of 1, but I would not do it. She mentioned this to my grandfather and he picked me up, put me on my feet and placed me facing my mom. My mother said, I just took off running towards her!
My mother in law had always told me that my husband walked at 6 months old. I of course thought she was just remembering incorrectly.. The moment our daughter was born and they placed her on my stomach, I spoke to her calling her name. She lifted her head and looked at me and stretched her legs and pushed her legs.. I knew right then that this was going to be an early walking child.
Sure enough each time we held her, she would push her legs against what ever she could push against. She refused to sleep on her back and would roll over at about 3 weeks. She could always lift her head up. She scooted at about 3 months, and demanded to be placed on the floor standing on her feet! My mother and mother in law told me this was not a good idea. She "needed to learn to crawl." "She will hurt herself." At 6 months she was walking on her own.. It was pretty wild and her caregiver was not pleased, because she had other children to watch and was worried our daughter would get hurt. Our daughter spent lots of time in a walker and and a door way jumpy thing. We could not keep her in the swing, cause she would grab hold of the legs and try to climb out.. Our daughter also spoke in full sentences very early with a pretty amazing vocabulary. She understood different feelings, when we would give her the words. She was about 1 when she told me she was "frightened, because" she "did not feel good". I had to go to work that day, so my MIL was sitting for us. MIL really got after me and told me our daughter "did not know what she was saying". That night our daughter ended up in the hospital with pneumonia.. She was there for 5 days she was so ill.
Some children will not walk till 14 to 16 months, some children with developmental issues will walk even later. As long as your child is figuring a way to get around and showing progress, they are considered on track, but your Pedi will always rate the child based on what is "average". It is so hard to compare kids. Our daughter was one of the last to be fully potty trained, but I did not care. I did not want to stress her and knew she would not end up in school in diapers. She also was a late reader compared to other kids.. it seemed to me...And it wasn't till mid year in kinder she learned to tie her shoes, most of the kids in her class were able to tie their shoes when school started.. It is all so individual.. .