If presents you with the upper and lower quartile range, although you have to do calculations in order to find the interquartile range, so no, it does not,
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The box represents your Q1, Q2 (median) and Q3, so it is your interquartile range. The Q1 is the first box line, the Q2 is the middle one and the Q3 is the closing line. Your interquartile range basically tells you where 50% of the people are.
Median
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.
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.
The whiskers go from the minimum to the maximum though outliers may be excluded. The box, itself, goes from the lower quartile to the upper quartile.