Five Characteristics of the Bell Curve

Statisticians, psychologists and lay people alike use the bell curve to describe the percentiles in sets of data. The curve also provides a design for understanding how to gauge scores, and the data can be weighed in terms of the mean, standard deviation and other statistical measures. Many characteristics of the curve can be misused, as the media have reported over the years.
  1. Symmetrical and Unimodal

    • A bell curve is symmetrical, which is to say that on both sides of the mean the shape of the curve is precisely the same. Each side is a mirror image of the other side. Unimodal means that there is only one mode for the set -- that is, only one number occurs most frequently.

    Area Under the Curve Equals 1

    • Bell curves are used to describe probabilities and as such the area of the curve is equal to 1 percent of the values. That is to say that each iteration along the axis beneath the curve -- if aggregated -- will equal 1.00. This allows any population that can be described by the bell curve to be interpretable.

    Mean and Standard Deviation

    • The mean and standard deviation of a bell curve remain the same. The mean of the curve -- or normal distribution -- is always zero and the standard deviation is always in base 10 from the mean. Traditionally, increments of 1.0 in standard deviations are used to represent data and deviation from the mean score of the set.

    Empirical Measurement

    • Within the bell curve are a set of fixed proportions based upon standard deviations from the mean. Within one standard deviation from the mean, 68 percent of the population is included. Two standard deviations represent 95 percent of the population, or data set. And within three standard deviations, 99.7 percent of the population is accounted for.

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