the mean is when you add the numbers and divide the answer by how many numbers is in the problem, the median is when you arrange the numbers from smallest to largest or from largest to smallest and find the middle number and the mode is how many times a number repeats itself.
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Mean filtering is linear but median filtering is non-linear.
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.
The range of a data set is the difference between the largest and smallest number in your set of data. Median is the number that comes in the middle. 54, 55, 56 has a range of 54-56 and a median of 55. The set 53, 55, 57 has a median of 55 also!
There would be a difference to the median. The old number wouldn't be the median but the mode wouldn't change. If the outlier is a high value, it will cause the mean value to shift to the higher side, while a low valued outlier will drop the mean value to a lower number.
who discovered mean median and mode