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A Normal distribution is a continuous, symmetric, bell shaped distribution of a variable. 1. The mean, median, and mode are equal and are located at the center of the distribution. 2. The curve is symmetric about the mean. 3. The curve is continuous; that is, there are no gaps or holes. For each value of X, there is a corresponding value of Y. 4. The curve never touches the X axis. 5. The total area under a normal distribution is equal to 1.00 or 100%. 1 The area under the part of the Normal curve that lies... within 1 standard deviation of the mean is approximately 0.68 or 68% within 2 standard deviations of the mean is approximately 0.95 or 95% within 3 standard deviations of the mean is approximately 0.997 or 99.7% 2 Using the Empirical Rule: Jennie Scored 600 on the Critical Reading section of the SAT Reasoning test. In what percentile does Jennie rank? The SAT exams are scaled so that scores follow a Normal Distribution with mean 500 and standard deviation 100. 3