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No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.
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What is the difference between the mean and z-score?
There is little in common between the two. Any set of numbers can have a mean. A z-score the standardised version of the Gaussian (or Normal) distribution. If X is a random variable that is normally distributed with mean µ and variance σ2 then Z = (X - µ)/σ is distributed with mean 0 and variance 1. Z is said to have the Standard Normal distribution. The value of Z is the z score for the random variable X..
What is z value?
If a random variable (RV) X is distributed Normally with mean m and standard deviation sthenZ = (X - m)/s is the corresponding Normal variable which is distributed with mean 0 and variance 1. The distribution of X is difficult to compute but that for Z is readily available. It can be used to find the probabilities of the RV lying in different domains and thereby for testing hypotheses.
What is the variance for the uniform random variable?
the variance of the uniform distribution is (a+b)/12
What a correlation of 0.30 means that the independent variable explains -- percent of the variance in the dependent variable?
The independent variable explains .32*100 percent of the variance in the dependent variable.This is 9%.The explainable variance is always the square of the correlation (r).
Can standard deviation and variance be negative?
No. Neither the standard deviation nor the variance can ever be negative.
