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84  •   using ansys for finite eLement anaLysis
                3.2.3.2  Cumulative Distribution Function


                The formula for  the  cdf  of  the  uniform distribution is:

                                     Fx () =  xfor 0 ≤  x ≤ 1

                    Figure 3.5 shows the uniform cdf.




                    1
                    0.9
                    0.8
                    0.7
                   Probability  0.5
                    0.6
                    0.4
                    0.3
                    0.2
                    0.1
                    0
                     0    1    2     3    4    5    6    7     8    9   10
                                               X
                  Figure 3.5.  The uniform cumulative distribution function.




                3.2.3.3  Common Statistics

                                                             +
                 Mean                                      ( AB) /2
                 Median                                    ( AB) /2
                                                             +
                 Mode                                        B − A

                 Range                                      ( B −  A) 2
                                                              12
                                                             B −  A
                 Standard Deviation
                                                             ( 3  B +  A)
                                                               /
                 Coefficient of Variation                    sm
                 Skewness                                     0
                 Kurtosis                                     9/5
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