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A normal distribution simply enables you to convert your values, which are in some measurement unit, to normal deviates. Normal deviates (i.e. z-scores) allow you to use the table of normal values to compute probabilities under the normal curve.

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Q: Why does a researcher want to go from a normal distribution to a standard normal distributio?
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Why does a researcher want to go from a normal distribution to a standard normal distribution?

A researcher wants to go from a normal distribution to a standard normal distribution because the latter allows him/her to make the correspondence between the area and the probability. Though events in the real world rarely follow a standard normal distribution, z-scores are convenient calculations of area that can be used with any/all normal distributions. Meaning: once a researcher has translated raw data into a standard normal distribution (z-score), he/she can then find its associated probability.


How does standard normal distribution differ from normal distribution?

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


What is the difference between a normal distribution and the standard normal distribution?

The standard normal distribution is a normal distribution with mean 0 and variance 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.


What is the standard deviation of a standard normal distribution?

The standard deviation in a standard normal distribution is 1.


What is the difference of a normal distribution and a stardard normal distribution?

The standard normal distribution is a special case of the normal distribution. The standard normal has mean 0 and variance 1.


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

The standard deviation in a standard normal distribution is 1.


Carefully define a standard normal distribution?

A mathematical definition of a standard normal distribution is given in the related link. A standard normal distribution is a normal distribution with a mean of 0 and a variance 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.


The mean of a standard normal distribution is?

The mean of a standard normal distribution is 0.


Is the standard normal distribution is continuous?

Yes, the normal distribution, standard or not is always continuous.


When can you say the distribution is considered normal?

When its probability distribution the standard normal distribution.