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-It is symmetrical (mean = median)

-It is bell shaped (empirical rule applies)

-The interquartile range equals 1.33 standard deviations

-The range is appr. equal to 6 stand. dev.

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Q: What are the Theoretical properties of normal distribution?
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Related questions

Is a theoretical normal distribution ever negative?

Yes.


What does the student's t-distribution refer to in statistics?

The Student's T- Distribution is a type of probability distribution that is theoretical and resembles a normal distribution. The Student T- Distribution differs from the normal distribution by its degrees of freedom.


What is Theoretical Probabilty?

In theoretical probability, the probability is determined by an assumed model (for example, the normal distribution). (compare with empirical probability)


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.


What is The difference between an empirical distribution and a theoretical distribution?

empirical distribution is based on your observation of out comes, it is based on real data. on the other hand theoretical is base on your theory regarding the distribution and the parameters, (i.e. normal/exponential...., u=5 vs u .5....and so on)


What is the perfect standard normal distribution?

The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.


How normal distribution is better?

Normal distribution is not "better." It is, perhaps, simpler to work with. All introductory text books and courses on statistics cover it in great detail, its properties are well-known, and there are lots of tables you can refer to. But if the real-world situation you are trying to model does not resemble a normal distribution, then it is very bad to try to use the properties of a normal distribution or to try to force a normal distribution on your data. Doing so will give you inaccurate answers.


How do you check for normal distribution?

There are two main methods: theoretical and empirical. Theoretical: Is the random variable the sum (or mean) of a large number of imdependent, identically distributed variables? If so, by the Central Limit Theorem the variable in question is approximately normally distributed. Empirical: there are various goodness-of-fit tests. Two of the better known are the chi-square and the Kolmogorov-Smirnov tests. There are others. These compare the observed values with what might be expected if the distribution were Normal. The greater the discrepancy, the less likely it is that the distribution is Normal, the smaller the discrepancy the more likely that the distribution is Normal.


State the properties of position distribution?

Properties of possion distribution


The difference between an empirical distribution and a theoretical distribution?

Empirical Distribution: based on measurements that are actually taken on a variable. Theoretical Distribution: not constructed on measurements but rather by making assumptions and representing these assumptions mathematically.


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.


What is normal distribution?

It is a symmetric bell-shaped distribution which can be used to represent a very large number things from every-day life. It has some very useful statistical properties.