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It is the Standard normal variable.

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9y ago
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Q: What is a normal random variable minus its mean and divided by its standard deviation?
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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.


What is the formula to convert normal distribution to the standard normal distribution?

If a variable X, is distributed Normally with mean m and standard deviation s thenZ = (X - m)/s has a standard normal distribution.


What is the standard normal deviation?

The standard deviation of a normal deviation is the square root of the mean, also the square root of the variance.


How do you standardise a value?

There are many different bases for standardisation - even if you only consider the Gaussian (Normal) distribution. If a variable X has a Gaussian distribution, then the corresponding Standard Normal deviate, Z, is obtained from X by subtracting the mean of X and then dividing the result by the standard deviation of X. The variable, Z, more commonly known as the Z-score, has a Gaussian distribution with mean 0 and standard deviation 1. But, if X is an IQ score, for example, different measures of the X variable are used so that the resulting variable has mean 100 and standard deviation 15.


What role do z-scores play in the transformation of data from multiple distributions to the standard normal distribution?

None.z-scores are linear transformations that are used to convert an "ordinary" Normal variable - with mean, m, and standard deviation, s, to a normal variable with mean = 0 and st dev = 1 : the Standard Normal distribution.


A standard normal distribution has a mean of and standard deviation of?

Mean 0, standard deviation 1.


What is the mean and standard deviation for the standard normal curve?

Mean = 0 Standard Deviation = 1


What is standarizing variable?

An ordinary variable is standardised by taking a linear transformation of it such that the new variable has standard properties. For example, if X is a Gaussian (Normal) variable with mean mu and standard deviation sigma, then Z = (X - mu)/sigma has a Normal distribution with mean 0 and SD = 1: it has been standardised.


Are all variables that are approximentaly normally distributed be transformed to standard normal variables?

Yes, to approximately standard normal.If the random variable X is approximately normal with mean m and standard deviation s, then(X - m)/sis approximately standard normal.


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 is the probability that the value of a randomly selected variable from a normal distribution will be more than 3 standard deviation from its mean value?

Approx 0.0027