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Normal Curve In Statistics. The normal distribution commonly known as the bell curve occurs throughout statistics. In statistics the area under the normal distribution curve and above the horizontal axis is. Approximately 68 of all of the data is between -1 and 1. About 68 of values drawn from a normal distribution are within one standard deviation σ away from the mean.
This fact is known as the 68-95-997 empirical rule or the 3-sigma rule. The normal distribution is the most used statistical distribution since normality arises naturally in many physical biological and social measurement situations. Moreover it is a special type of bell-shaped curve. And about 997 are within three standard deviations. In general a mean refers to the average or the most common value in a collection of is. Table 2 in Statistics Tables gives the area of the curve below zin other words the probability of obtaining a value of z or lower.
Figure of a Normal Curve.
Approximately 95 of the data falls within two standard deviations of the mean µ2σ. The normal distribution commonly known as the bell curve occurs throughout statistics. In statistics the area under the normal distribution curve and above the horizontal axis is. In a normal data set Approximately 68 of the data falls between one standard deviation of the mean µσ. Above is a formula that can be used to express any bell curve as a function of x. Approximately 95 of the data falls within two standard deviations of the mean µ2σ.