


?25\%? of the data points lie between ?13? and ?14? ?25\%? of the data points lie between ?11? and ?13? ?25\%? of the data points lie between ?5? and ?11?

?25\%? of the data points lie between ?2? and ?5? In a box-and-whisker plot, the left end of the box represents ?Q1?, the median represents ?Q2?, and the right end of the box represents ?Q_3?. The third quartile, ?Q_3?, separates the third ?25\%? of data points from the upper ?25%? of data points. The second quartile, ?Q2?, is the median, and it separates the data set into halves. The first quartile, ?Q1?, separates the lowest ?25\%? of data points from the second ?25\%?. A quartile is a number that divides the data set into quarters. The box-and-whisker plot also shows us where each quartile of the data is located. Since the box above extends from ?5? to ?13?, the IQR is ?13-5=8?. So in this plot, we can say that the minimum is ?2?, that the maximum is ?14?, and so we know right away that the range of the data is ?14-2=12?. The dot at the end of the left whisker is the minimum of the data set, and the dot at the end of the right whisker is the maximum of the data set. The vertical line inside the box is the median of the data set, so the median of the data set represented in the plot above is ?11?. The interquartile range is also just a simple calculation. The great thing about a box plot is that we know the median, range, upper and lower bounds just by looking at it. The big rectangle in the center is the box, and the little lines extending out from the sides are the whiskers.
