no no sorry to say it, but it can NEVER go on the outside
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Oh, dude, finding the mean, median, mode, and range on a box and whisker plot is like trying to make a sandwich with a hammer. The box and whisker plot already shows you the median (that's the line in the box) and the range (from whisker to whisker). The mean and mode aren't typically shown on a box plot because they're off doing their own thing, not invited to the box and whisker party.
If the median is exactly in the middle of the box, and the box is exactly in the middle of the whiskers, then skewness = 0. The data are skewed if either the median is off-centre in the box, or if the box is off-centre overall.
A box plot may be used at a preliminary stage to determine the centre and spread of a set of data. The box [and whiskers] plot measures the central point by the median and the range from the maximum and minimum or the quartile points.
answer
The box plot uses the minimum, lower quartile, median, upper quartile and maximum. The questioner has not provided the data which would enable their values to be calculated.