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What else can I help you with?
Is symmetrical a characteristic of a normal distribution?
The Normal ditribution is symmetric but so are other distributions.
What type of probability distribution is the normal distribution?
It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.
Will the mean and median in a symmetric distribution always be equal or approximately equal and Why?
In a symmetric distribution, the mean and median will always be equal. This is because symmetry implies that the distribution is balanced around a central point, which is where both the mean (the average) and the median (the middle value) will fall. Therefore, in perfectly symmetric distributions like the normal distribution, the mean, median, and mode coincide at the center. In practice, they may be approximately equal in symmetric distributions that are not perfectly symmetrical due to rounding or sampling variability.
Why is it correct to say a normal distribution and the standard normal distribution?
A normal distribution refers to any bell-shaped distribution characterized by its mean and standard deviation, allowing for a variety of shapes depending on these parameters. The standard normal distribution, however, is a specific case of a normal distribution where the mean is 0 and the standard deviation is 1. This standardization allows for easier comparison and calculation of probabilities using z-scores, which represent the number of standard deviations a data point is from the mean. Thus, while all standard normal distributions are normal distributions, not all normal distributions are standard normal distributions.
Can the standard normal variate in normal distributions be negative?
About half the time.
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.
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.
Similarity between the uniform and normal probability distributions?
They are continuous, symmetric.
Is symmetrical a characteristic of a normal distribution?
The Normal ditribution is symmetric but so are other distributions.
Is it true some normal probability distributions are positively skewed?
No. The Normal distribution is symmetric: skewness = 0.
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 type of probability distribution is the normal distribution?
It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.
List of common symmetric distributions?
A small partial list includes: -normal (or Gaussian) distribution -binomial distribution -Cauchy distribution
What is the range of skewness of approximately symmetric distributions?
-1<x<+1
Does this means that all symmetric distribution are normal?
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Will the mean and median in a symmetric distribution always be equal or approximately equal and Why?
In a symmetric distribution, the mean and median will always be equal. This is because symmetry implies that the distribution is balanced around a central point, which is where both the mean (the average) and the median (the middle value) will fall. Therefore, in perfectly symmetric distributions like the normal distribution, the mean, median, and mode coincide at the center. In practice, they may be approximately equal in symmetric distributions that are not perfectly symmetrical due to rounding or sampling variability.
Are all unimodal distributions normal?
No. Normal distribution is a special case of distribution.
