![]() A right-skewed distribution usually appears as a left-leaning curve. The distribution is said to be right-skewed, right-tailed, or skewed to the right, despite the fact that the curve itself appears to be skewed or leaning to the left right instead refers to the right tail being drawn out and, often, the mean being skewed to the right of a typical center of the data. ![]() positive skew: The right tail is longer the mass of the distribution is concentrated on the left of the figure. ![]() A left-skewed distribution usually appears as a right-leaning curve. The distribution is said to be left-skewed, left-tailed, or skewed to the left, despite the fact that the curve itself appears to be skewed or leaning to the right left instead refers to the left tail being drawn out and, often, the mean being skewed to the left of a typical center of the data. negative skew: The left tail is longer the mass of the distribution is concentrated on the right of the figure.These tapering sides are called tails, and they provide a visual means to determine which of the two kinds of skewness a distribution has: Within each graph, the values on the right side of the distribution taper differently from the values on the left side. For example, a zero value means that the tails on both sides of the mean balance out overall this is the case for a symmetric distribution, but can also be true for an asymmetric distribution where one tail is long and thin, and the other is short but fat.Ĭonsider the two distributions in the figure just below. In cases where one tail is long but the other tail is fat, skewness does not obey a simple rule. The skewness value can be positive, zero, negative, or undefined.įor a unimodal distribution, negative skew commonly indicates that the tail is on the left side of the distribution, and positive skew indicates that the tail is on the right. In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. These data are from experiments on wheat grass growth. Example distribution with positive skewness.
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