In order to answer your question fully, I'd need to know more. First, is your mom's house safe and secure? Second, where are you living instead of her house? Third, are you male or female?
Assuming that her home is safe, I think that the best place for a teen-aged girl is with her mother, as long as your mom can provide for you.
Let me preface this by saying that I am not a licenced counselor and I can only give you a response based on what I have experienced in my years of teaching. Each person's parental issues are unique and if this is something that is really bothering you, I strongly suggest you speak to a school counselor.
Most people would agree that the ages between 13-16 are very difficult times for everyone. You're growing up, becoming your own person and that may be hard for some parents to accept. Let's face it, we don't always feel comfortable coming to our parents about certain things. Still, any good parent wants what is best for their son/daughter and any rules or restrictions that your mother has set in place are for your own good. I know that it is difficult to see this now, but you will thank your mother later on.
I am unclear on what you mean by "confusion". Prayerfully, you were not in a situation where you were being abused or neglected. If this is the case, you need to go to an adult that you trust right away and tell them about it. There is no need to be afraid or embarrassed. Tell. Get help.
However, if you were not in a situation where you were being abused or neglected, then I think the best thing for you to do is return home. I am sure your mother is worried about you and concerned for your safety. There aren't many options out there for a 15-year-old. You may not realize it, but the world can be a dangerous place. There are lots of unsavory characters out there who prey on teens like you.
Good luck and take care :D
I fully agree with mrsmonica that more information/clarification is needed before one can address your problem. 15 years is not the right age to leave your mom's house & search for an alternative home. If you are a girl & still at school, you must think twice. You have mentioned that your mom's house is too full of confusion.What kind of 'confusion'? Does it affect your peace of mind, or pose any real threat to you? Do you feel neglected? Are your studies affected? Does the 'confusion' cause any harm/damage to you? Unless you come up with a little more frankness, it is very difficult for any one of us to prescribe a solution. Generally, living with mom/dad until you attain considerable maturity & self-reliance would be the best. May be, you are facing some problem; but don't take any hasty decision. Let us know your problem at some more length, and be assured that there is always light at the end of a dark tunnel.