A wheel position determination module determines first and second wheel positions based on first and second signals generated using first and second wheel speed sensors. The first and second wheel speed sensors generate the first and second signals based on rotation of driven wheels of the vehicle, respectively. The wheel position determination module determines third and fourth wheel positions based on third and fourth signals generated using third and fourth wheel speed sensors. The third and fourth wheel speed sensors generate the third and fourth signals based on rotation of other wheels of the vehicle, respectively. A first average determination module determines a first average of the first and second wheel positions. A second average determination module determines a second average of the third and fourth wheel positions. An estimation module selectively generates an estimate of torque at the driven wheels based on the first and second averages.