![]() The single points on the diagram show the outliers. The values at which the horizontal lines stop at are the values of the upper and lower values of the data. The right edge of the box shows the upper quartile it shows that $25$% of the data lies to the right of the upper quartile value. The left edge of the box represents the lower quartile it shows the value at which the first $25$% of the data falls up to. A line is drawn across the box at the sample median. The other dimension of the box does not represent anything in particular. Box-and-whisker plots are a really effective way to display lots of information. The length of the box is thus the interquartile range of the sample. This shows that $50$% of the data lies on the left hand side of the median value and $50$% lies on the right hand side. The box of the plot is a rectangle which encloses the middle half of the sample, with an end at each quartile. The line splitting the box in two represents the median value. ![]() Interpreting a boxplot can be done once you understand what the different lines mean on a box and whisker diagram. Then make sure Plots is selected under the option that says Display near the bottom of the box. These can be displayed alongside a number line, horizontally or vertically. To create a box plot to visualize the distribution of these data values, we can click the Analyze tab, then Descriptive Statistics, then Explore: To create a box plot, drag the variable points into the box labelled Dependent List. It is a useful way to compare different sets of data as you can draw more than one boxplot per graph. A box and whisker plot is a graphical representation of the collected data on a number line with the use of the least value, greatest value and the quartiles, as explained earlier. The shape of the boxplot shows how the data is distributed and it also shows any outliers. Contents Toggle Main Menu 1 Definition 2 Reading a Box and Whisker Plot 2.1 Video Examples 3 Constructing a Box and Whisker Diagram 4 Worked Example 4.1 Video Example 4.2 Common Mistakes 5 Workbook 6 Test Yourself 7 External Resources DefinitionĪ box and whisker plot or diagram (otherwise known as a boxplot), is a graph summarising a set of data.
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