No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
0.1972
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
Mean and Standard Deviation
No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
American women in terms of their physical heights.
~0.0606
0.1972
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
You may transform a normal distribution curve, with, f(x), distributed normally, with mean mu, and standard deviation s, into a standard normal distribution f(z), with mu=0 and s=1, using this transform: z = (x- mu)/s
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.
Mean and Standard Deviation
The standard normal curve is symmetrical.