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Yes. Normal (or Gaussian) distribution are parametric distributions and they are defined by two parameters: the mean and the variance (square of standard deviation). Each pair of these parameters gives rise to a different normal distribution. However, they can all be "re-parametrised" to the standard normal distribution using z-transformations. The standard normal distribution has mean 0 and variance 1.

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Q: Do some normal probability distributions have different means and different standard deviations?
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Do normal probability distributions have different arithmetic means and different standard deviations?

Yes. And that is true of most probability distributions.


Do some normal probability distributions have different arithmetic means and different standard deviations?

Yes. Most do.


What percentage of observations of a normal distribution is reprented by the mean plus or minus 1.96 standard deviations?

The probability of the mean plus or minus 1.96 standard deviations is 0. The probability that a continuous distribution takes any particular value is always zero. The probability between the mean plus or minus 1.96 standard deviations is 0.95


Measurements that fall beyond 3 standard deviations from the mean?

They do happen, particularly with very skewed distributions.


How do you find highest standard deviation in given number?

Standard deviations are measures of data distributions. Therefore, a single number cannot have meaningful standard deviation.


What would -2 standard deviation below the mean be?

It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.


What is heteroskadicity?

Finance:When the standard deviations of a variable, monitored over time, are non-constant.Math:An irregular scattering of values in multiple distributions with a comparable scatter of variances.


What is the formula to determine the standard deviation of the resulting normal distribution when adding two normal distributions with different means and standard deviations?

s= bracket n over sigma i (xi-x-)^2 all over n-1 closed bracket ^ 1/2


What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?

The normal distribution, also known as the Gaussian distribution, has a familiar "bell curve" shape and approximates many different naturally occurring distributions over real numbers.


When referring to the normal probability there is not just one there is a family of distributions?

A family that is defined by two parameters: the mean and variance (or standard deviation).


How many standard deviations is 16.50 from the mean?

How many standard deviations is 16.50 from the mean?


What is the difference between t-distribution and standard normal distribution?

the t distributions take into account the variability of the sample standard deviations. I think that it is now common to use the t distribution when the population standard deviation is unknown, regardless of the sample size.