12/28/2023 0 Comments Interpreting box plots![]() The ends of the whiskers (vertical lines emanating from the top and. The box encompasses 50 of the observations. minimum, 1st quartile, median, 3rd quartile and maximum. The single points on the diagram show the outliers. Interpretation of the box plot (alternatively box and whisker plot) rests in understanding that it provides a graphical representation of a five number summary, i.e. Additionally, boxplots display two common measures of the variability or spread in a data set. The chart simplifies bulky and complex data sets into quartiles and. It is a safe bet that the X in each box represents the average value of the group. A Box Plot is a visualization design that uses box plots to display insights into data. For a box plot, the horizontal line within each box is the median of the group. In this lesson, pupils learn to draw a box plot (box and whisker diagram) from data presented in a table, in a cumulative frequency diagram and in a list. In the boxplot above, the median is between 4 and 6, around 5. This plot tells you about the distribution, variance, and allows you to compare groups in terms of distribution and variance. The values at which the horizontal lines stop at are the values of the upper and lower values of the data. The median is indicated by the vertical line that runs down the center of the box. 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. ![]() 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 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. Thus, the lower end of the box is the 1st quartile. These can be displayed alongside a number line, horizontally or vertically. The box itself indicates the range in which the middle 50 of all values lie. It is a useful way to compare different sets of data as you can draw more than one boxplot per graph. Box and whisker plots, sometimes known as box plots, are a great chart to use when showing the distribution of data points across a selected measure. It helps us identify the minimum, maximum, median, and quartiles of the data. The shape of the boxplot shows how the data is distributed and it also shows any outliers. A box and whisker plot is a handy tool to understand the age distribution of students at a party. 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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