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The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.
Classifying shapes of distributions. Classifying distributions as being symmetric, left skewed, right skewed, uniform or bimodal.
Why are measures of shape useful? The shape of the distribution can assist with identifying other descriptive statistics, such as which measure of central tendency is appropriate to use. If data are skewed, the median may be a more appropriate measure of central tendency.
The four ways to describe shape are whether it is symmetric, how many peaks it has, if it is skewed to the left or right, and whether it is uniform. A graph with a single peak is called unimodal. A single peak over the center is called bell-shaped. And, a graph with two peaks is called bimodal.
The normal distribution is fully characterized by its mean and standard deviation, meaning the distribution is not skewed and does exhibit Kurtis. This makes the distribution symmetric, and it is depicted as a bell-shaped curve when plotted.
Here, we'll concern ourselves with three possible shapes: symmetric, skewed left, or skewed right. Definition. For a distribution that is skewed left, the bulk of the data values (including the median) lie to the right of the mean, and there is a long tail on the left side.
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.
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