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The standard normal distribution has a mean of 0 and a standard deviation of 1 while a nonstandard normal distribution has a different value for one or both of those parameters.
What is the difference between a standard normal distribution in a non-standard normal distribution. The standard deviation determines width of curve the larger the SD the wider the curve Normal distribution tends towards infinity ie. The line never reaches the axis Reference range for a sample mean - 2 standard deviation. Hey now one unique property off normal distribution.
The area under the normal distribution curve represents probability and the total area under the curve sums to one. The visual way to understand it would be the following image taken from here. Normal Distribution is a probability distribution where probability of x is highest at centre and lowest in the ends whereas in Uniform Distribution probability of x is constant.
Im going to go ahead and copy a bit of a prior answer instead of pasting the link to. The normal distribution is based on the central limit theorem and it can be verified using practical results following the assumptions. Normal and non-normal distributions.
It has the following properties. This transformation allows easy reference to the standardized value tables and makes it easier to solve problems regarding the probability density function and the cumulative distribution. The four curves are Normal distributions but only the red.
Z for any particular x value shows how many standard deviations x is away from the mean for all x values. A The standard normal distribution has a mean of 0 and a standard deviation of 1 while a nonstandard normal distribution has a different value for one or both of those parameters. Non-standard normal distribution can have a mean of either 0 or some other value and it can have a standard deviation of 1 or some other value.
On the other hand a nonstandard normal distribution has a nonzero mean and a standard deviation not equal to 1. The Standard Normal Distribution is a specific instance of the Normal Distribution that has a mean of 0 and a standard deviation of 1. Computers are commonly used to randomly generate digits of telephone numbers to be called when conducting a survey.
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