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Are all symmetric distribution are normal?
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
What is the relationship among the mean median and mode in a symmetric distribution?
They are all equal . . . they are the same.(In an asymmetric distribution they are not equal.)
What is the relationship among the mean median and the mode in a symmetric distribution?
All equal.
Does all symmetrical distributions are normal distribution?
It is not necessary that all symetric distribution may be normal.
Are all unimodal distributions normal?
No. Normal distribution is a special case of distribution.
Does this means that all symmetric distribution are normal Explain?
Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.
Are all symmetric distribution are normal?
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
What is the relation between mean mode median in symmetric normal distribution?
They are all the same.
Normal distribution is symmetric with single peak.Does this mean that all distibutions are normal?
No, not all distributions are symmetrical, and not all distributions have a single peak.
When your sample data is all negative values how can you convert it for use on a normal distribution?
The data from a normal distribution are symmetric about its mean, not about zero. There is, therefore nothing strange about all the values being negative.
What is the relationship among the mean median and mode in a symmetric distribution?
They are all equal . . . they are the same.(In an asymmetric distribution they are not equal.)
What is the relationship among the mean median and the mode in a symmetric distribution?
All equal.
What is the probability that a tree's height exceeds the mean?
If the distribution of heights were symmetric then it would be 1/2 but the distribution is not at all likely to be symmetric. There will by many young trees of varying heights whereas the mature trees are likely to reach similar heights. The distribution is, therefore, likely to be negatively skewed, which means that the probability is greater than 1/2.
What is asymmetric lighting?
It is a type of light distribution. Symmetric distribution would be like normal down lighting with distribution to cover all surfaces. Asymmeteric distribution would be a down light that has distribution both down and to one side to cover a specific surface or object. Like a spot light or a wall wash fixture.
Does all symmetrical distributions are normal distribution?
It is not necessary that all symetric distribution may be normal.
Are all unimodal distributions normal?
No. Normal distribution is a special case of distribution.
Do some normal probability distributions have different means and different standard deviations?
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.
