This page contains the definition of variance and higher moments using the expected value. It contains properties, with proofs, of variance, skew, and kurtosis. It also contains Chebyshevâ€™s inequality. It also has discussions about the variance of special distributions, some of these are given, some the reader is asked to find (answers are given through a small link at the end of the page). It contains links to simulators and directions for the student to use the simulator to observe various properties. Finally, there is a discussion of vector space concepts leading to Minkowskiâ€™s inequality, Lyapunovâ€™s inequality, and convergence.