Is it normal that my parents blame me for stuff i don't do?

Like today. I go to a private school and wear a uniform. My dad picks me up because I live too far for a bus, so he was there like usual. He asked me why I wasn't dressed down (casually) and I replied, "Because Mom decided we weren't going to sell the magazines" and put my earbuds in to listen to music. I didn't notice he was speaking to me until I saw his hand move out of the corner of my eye, and took my earbud out. "YOU'RE lazy and dumb!" He yelled. "What?" I said. He repeated and shouted, saying that I called his wife (Mom) lazy and stupid and that I'm the stupid one instead. I got upset. "I NEVER SAID THAT!" I emphasized. I asked him to stop yelling at me and he screamed instead "DONT TELL ME WHAT TO DO LITTLE GIRL, I'M NOT YOUR FUCKING CHILD YOU CAN'T FUCKING BOSS ME AROUND I DON'T KNOW WHO YOU FUCKING THINK YOU ARE BUT DONT YOU TALK TO ME LIKE YOU DO." I hate it when he says this, because he always does. When we got home, he started yelling to my mom about it. They fought. She sided with him because he bitched a fit. "I do believe you called me lazy, you're young and kids say stuff like that". I was hurt. She didn't believe me? No matter how much I denied it she just nodded and looked off like she didn't care. She even blamed me for starting the yelling with my father and throwing an attitude. Why do my parents do this? My dad always starts yelling first and them blames it on me, and my mom will side with him no matter what. Even when he's obviously wrong. It's really frustrating that they do this. Is it normal for them to act like this? Am I normal for feeling frustrations because of it?