How do I start a chore system if I am a child myself?

I'm thirteen years of age. I notice that my mother yells at me when I supposedly "clean up wrong" or do something of that sort. My siblings generally forget to clean after themselves. I don't think my siblings and I are lazy - we have never had a chore system. All we ever do is get yelled at for doing things the wrong way. My question is how do I, a measly thirteen year old, start a chore system? I'm not the ringleader of the house, so it will be a tad hard for people to listen to me. But any ideas how to approach this?