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What is the relation between mean mode median in symmetric normal distribution?
They are all the same.
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).
Is the uniform probability distribution is symmetric about the mean and median?
yes
Can the distribution of the mean median and mode be equal if the are positively skewed or negatively skewed or symmetric?
Not necessarily.
What is the distribution when the mean median and mode are the same?
The normal distribution.
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.
What is the relation between mean mode median in symmetric normal distribution?
They are all the same.
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.
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).
Is the uniform probability distribution is symmetric about the mean and median?
yes
Can mean and median have same values?
Yes, they can.Yes, they can. In a symmetric distribution they will be the same.
How come the mean is less than the median?
If the distribution is not symmetric, the mean will be different from the median. A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.
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.
What is the relation between mean median and mode?
In a symmetric distribution, the mean and the median are the same. Otherwise there is no relation. In symmetric distributions with only one mode, the mode will coincide with the mean and median, but otherwise there is no relation.
What is the relationship among the mean median and the mode in a symmetric distribution?
All equal.
