Determining whether the mean is positive or negative is important when analyzing the skew of a data set because it affects data distribution analysis. A histogram of the shoe sizes of all U. Left Skewed Distribution Skewness, whether positive or negative, refers to distortion or asymmetry in a symmetrical bell curve, or normal distribution, in a set of data. This is in contrast to left-skewed distributions, which have negative skewness: This is also in contrast to right-skewed distributions, which have positive skewness: Properties of Symmetric Distributions In a symmetrical distribution, the mean, median, and mode are all equal. Notice that if we drew a line down the center of this distribution, the left and right sides would still mirror each other.
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