well because in the mean you have to add them and its different from the median and the mode
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It depends on the data and sometimes on what you are trying to show with the data. All of them are indicators of central tendency and have different uses.
how many numbers your data is away from your mean
The answer depends on the type of data. The mean or median are useless if the data are qualitative (categoric): only the mode is any use. The median is better than the mean is the data are very skewed.
Mathematical data can be best organized in numerical order. By doing this, statistics are more easily found, such as mean, median, and mode.
The mean and standard deviation. If the data really are normally distributed, all other statistics are redundant.