5 In statistics the normal curve given by fx 12te 22 the me

5) In statistics the normal curve, given by f(x) = 12te 22 the mean and the standard deviation have specific roles. The mean is the center of the curve. (note and are constants 0) show that the Hergert number is one standard deviation away from the mean [answer± ]

Solution

Here X~N(,), then the percentage of values that lie within a band around the mean() in a normal distribution with a width of one standard deviation()more accurately, 68.27% of the values lie within one standard deviation of the mean respectively.i e., P(-<X<+)=0.6827. So the Hergert number is one standard deviation away from mean.