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What does probalility distribution mean?
In parametric statistical analysis we always have some probability distributions such as Normal, Binomial, Poisson uniform etc.In statistics we always work with data. So Probability distribution means "from which distribution the data are?
If the mean of a normal distribution is negative what is the varience?
The variance is always positive. The variance is not directly related to the sign (nor magnitude) of the mean.
Is the total area under a normal distribution curve to the right of the mean is always equal to 0?
100%
What is importance of central limit theorem?
The importance is that the sum of a large number of independent random variables is always approximately normally distributed as long as each random variable has the same distribution and that distribution has a finite mean and variance. The point is that it DOES NOT matter what the particular distribution is. So whatever distribution you start with, you always end up with normal.
Which is greater the geometric mean or the arithmetic mean of 6 and 54?
The geometric mean, if it exists, is always less than or equal to the arithmetic mean. The two are equal only if all the numbers are the same.
How do you derive mean deviation from mean for pareto distribution?
The total deviation from the mean for ANY distribution is always zero.
Is the mean always zero in a normal distribution?
No.
Is Mean is more sensitive to skewness than the median?
If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.
Is in binomial distribution mean always greater then variance?
yes
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
In a normal distribution you will always know that?
The mean is the same as the mode and median.
Normal distribution it is always true that mean equals median equals mode?
Yes- this can be proved from the normal distribution function.
What is the smallest measure of central tendency in a positively skewed distribution?
If the distribution is positively skewed distribution, the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency. This is true if we assume the distribution has a single mode.
What does probalility distribution mean?
In parametric statistical analysis we always have some probability distributions such as Normal, Binomial, Poisson uniform etc.In statistics we always work with data. So Probability distribution means "from which distribution the data are?
Why you prefer normal distribution for other?
It is probably the most widely used distribution in statistics. In addition, a lot of information exists on this distribution.
Do the mean median and mode of a collection of numbers always have to be different?
No, in a normal distribution they are the same.
What is the difference between scarcity and a shortage?
A shortage can be temporary or long-term, but scarcity always exists.
