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Is the uniform probability distribution is symmetric about the mode?

Yes, the uniform probability distribution is symmetric about the mode. Draw the sketch of the uniform probability distribution. If we say that the distribution is uniform, then we obtain the same constant for the continuous variable. * * * * * The uniform probability distribution is one in which the probability is the same throughout its domain, as stated above. By definition, then, there can be no value (or sub-domain) for which the probability is greater than elsewhere. In other words, a uniform probability distribution has no mode. The mode does not exist. The distribution cannot, therefore, be symmetric about something that does not exist.


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.


Is the uniform probability distribution is symmetric about the mean and median?

yes


What is the important similarity between the uniform and normal probability distribution?

They are both continuous, symmetric distribution functions.


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.


How the symmetric distribution is always normal?

The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.


When data class has the same frequency and same distribution symmetric?

When data has the same frequency and the same distribution, it means that the data points are evenly spread across their range, resulting in a uniform pattern. A symmetric distribution indicates that the data is balanced around a central point, such as the mean, with equal amounts of data on either side. Common examples of symmetric distributions include the normal distribution and the uniform distribution. In such cases, the measures of central tendency (mean, median, and mode) will coincide.


If the mean of a symmetric distribution is 130 which of these values could be the median of the distribution?

If it is a symmetric distribution, the median must be 130.


Does the t distribution becomes more skewed As the degree of freedom increases?

The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.The t-distribution is symmetric so the question is irrelevant.


Is the F distribution a symmetric distribution?

No.It is asymmetric.


Similarity between the uniform and normal probability distributions?

They are continuous, symmetric.


Can mean and median have same values?

Yes, they can.Yes, they can. In a symmetric distribution they will be the same.