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What else can I help you with?
Normal distribution is symmetric about mean or median or mode?
Mean
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).
Is the median is the same thing as the 50th percentile?
Only if the dataset (distribution) you are dealing with in symmetric.
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 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.
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.
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.
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
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 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 about the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
If the mean of a distribution is 105 what is the median of the distribution?
The relationship between the mean and the median depends on the shape of the distribution. In a symmetric distribution, the mean and median are equal, so if the mean is 105, the median would also be 105. However, if the distribution is skewed, the median could be less than or greater than the mean. Without additional information about the distribution's shape, we cannot definitively determine the median.
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.
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.
