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Q: A normal distribution can have any mean and any positive standard deviation?
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What are the median and mode of a normal distribution if the mean is 22 and the standard deviation is 4?

The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.


What is the z value for a normal distribution?

If a random variable X has a Normal distribution with mean m and standard deviation s, then z = (X - m)/s has a Standard Normal distribution. That is, Z has a Normal distribution with mean 0 and standard deviation 1. Probabilities for a general Normal distribution are extremely difficult to obtain but values for the Standard Normal have been calculated numerically and are widely tabulated. The z-transformation is, therefore, used to evaluate probabilities for Normally distributed random variables.


How is it possible to convert normal distributions to the standard normal distribution?

use this link http://www.ltcconline.net/greenl/Courses/201/probdist/zScore.htm Say you start with 1000 observations from a standard normal distribution. Then the mean is 0 and the standard deviation is 1, ignoring sample error. If you multiply every observation by Beta and add Alpha, then the new results will have a mean of Alpha and a standard deviation of Beta. Or, do the reverse. Start with a normal distribution with mean Alpha and standard deviation Beta. Subtract Alpha from all observations and divide by Beta and you wind up with the standard normal distribution.


When the population standard deviation is unknown the sampling distribution is equal to what?

The answer will depend on the underlying distribution for the variable. You may not simply assume that the distribution is normal.


What properties distinguishes standard normal distribution from other normal distribution?

The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.

Related questions

What is the standard deviation of a standard normal distribution?

The standard deviation in a standard normal distribution is 1.


In the standard normal distribution the standard deviation is always what?

The standard deviation in a standard normal distribution is 1.


How does standard normal distribution differ from normal distribution?

The standard normal distribution has a mean of 0 and a standard deviation of 1.


Which normal distribution is also the standard normal curve?

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 and standard deviation of?

Mean 0, standard deviation 1.


What is Normal of Standard Normal Probability Distribution?

with mean of and standard deviation of 1.


In your own words describe the standard normal distribution?

The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.


What is the distribution with an means of 0 and a standard deviation of 1?

It is called a standard normal distribution.


When the population standard deviation is known the sampling distribution is a?

normal distribution


Is the standard normal distribution has a mean of 1 and standard deviation of 0?

No.


What is the difference between a general normal curve and a standard normal curve?

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.


When the population standard deviation is known the sampling distribution is known as what?

normal distribution