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Can mean and median have one value?
Yes. And in any symmetric distribution, they will.
Is the F distribution a symmetric distribution?
No.It is asymmetric.
Is uniform distribution symmetric?
yes it is
Does normal distribution have two unequal parts?
It can do. If you define a quarter of it as one part and the rest as another, the two WILL be different! But the distribution IS symmetric about its mean.
What is symmetric distribution?
It is a probability distribution in which the probability of the random variable being in any interval on one side of the mean (expected value) is the same as for the equivalent interval on the other side of the mean.
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.
Can mean and median have same values?
Yes, they can.Yes, they can. In a symmetric distribution they will be the same.
Normal distribution is symmetric about mean or median or mode?
Mean
When you calculate mean is the answer same when the same data is calculated by median?
No. The mean and median are not necessarily the same. They will be the same if the distribution is symmetric but the converse is not necessarily true. That is to say, a distribution does not have to be symmetric for the mean and median to be the same. For example, the mean and median of {1, 1, 5, 6, 12} are both 5 but the distribution is NOT symmetric.
Is the uniform probability distribution is symmetric about the mean and median?
yes
What is the shape of a distribution when the mean and the median are about the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
What is the shape of a distribution when the mean and the median are the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
Can mean and median have one value?
Yes. And in any symmetric distribution, they will.
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.
What does even distribution mean?
It means that the probability density function is symmetric about 0.
What is the relationship among the mean median and the mode in a symmetric distribution?
All equal.
