You can determine the median test by arranging the data set in some order, ascending or descending, and picking out the middle data item.
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The answer depends on what the graph is of: the distribution function or the cumulative distribution function.
The median uses the position of the data rather than their actual values. As a result, in general, you will only be able to determine whether the missing value is greater than or less than the median.
Calculate the mean, median, and range with the outlier, and then again without the outlier. Then find the difference. Mode will be unaffected by an outlier.