When the least and greatest values from a sales data set are removed, what is likely to happen to the median?

When the least and greatest values from a data set are removed, the median is likely to remain unchanged, particularly in cases where the number of data points is odd. The median, defined as the middle value when the data points are arranged in order, does not rely on the extremes of data. By removing just the lowest and highest values, you are effectively narrowing the range but not affecting the central tendency of the data.

This holds true especially when the total number of values is odd, as the median will still be the middle number among the remaining values. In cases where the total number of values is even, while removing the extremes may shift the dataset slightly, the middle point remains stable enough to reflect the unchanged median. Therefore, it can be stated confidently that the median will likely stay the same when the least and greatest values are taken out of the data set.