Mean Plus Standard Deviation. The standard deviation is the average amount of variability in your dataset. The mean and median are 10 29 and 2 respectively for the original data with a standard deviation of 20 22.
A common estimator for σ is the sample standard deviation typically denoted by s. Understanding and calculating standard deviation. Pr μ 2 σ x μ 2 σ φ 2 φ 2 0 9772 1 0 9772 0 9545 displaystyle pr mu 2 sigma leq x leq mu 2 sigma phi 2 phi 2 approx 0 9772 1 0 9772 approx 0 9545.
A high standard deviation means that values are generally far from the mean while a low standard deviation indicates that.
It is worth noting that there exist many different equations for calculating sample standard deviation since unlike sample mean sample standard deviation does not have any single estimator that is unbiased efficient and has a maximum likelihood. The mean and median are 10 29 and 2 respectively for the original data with a standard deviation of 20 22. Where the mean is bigger than the median the distribution is positively skewed. Pr μ 2 σ x μ 2 σ φ 2 φ 2 0 9772 1 0 9772 0 9545 displaystyle pr mu 2 sigma leq x leq mu 2 sigma phi 2 phi 2 approx 0 9772 1 0 9772 approx 0 9545.