<P> In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles . Box plots may also have lines extending vertically from the boxes (whiskers) indicating variability outside the upper and lower quartiles, hence the terms box - and - whisker plot and box - and - whisker diagram . Outliers may be plotted as individual points . Box plots are non-parametric: they display variation in samples of a statistical population without making any assumptions of the underlying statistical distribution . The spacings between the different parts of the box indicate the degree of dispersion (spread) and skewness in the data, and show outliers . In addition to the points themselves, they allow one to visually estimate various L - estimators, notably the interquartile range, midhinge, range, mid-range, and trimean . Box plots can be drawn either horizontally or vertically . Box plots received their name from the box in the middle . </P> <P> Box and whisker plots quartiles, and the band inside the box is always the second quartile (the median). But the ends of the whiskers can represent several possible alternative values, among them: </P>

What do whiskers on a box plot represent