![]() The box plot gives a good, quick picture of the data. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The “whiskers” extend from the ends of the box to the smallest and largest data values. Approximately the middle 50 percent of the data fall inside the box. The first quartile marks one end of the box and the third quartile marks the other end of the box. The smallest and largest data values label the endpoints of the axis. To construct a box plot, use a horizontal or vertical number line and a rectangular box. We use these values to compare how close other data values are to them. A box plot is constructed from five values: the minimum value, the first quartile (Q 1), the median (Q 2), the third quartile (Q 3), and the maximum value. They also show how far the extreme values are from most of the data. There are two potential outliers in distribution A.\)īox plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. According to the definition used by the function in R software, all values higher than Q3 + 1.5 x (Q3 - Q1) = 0.32 + 1.5 x 0.30 = 0.77 are outside the right whisker and indicated by a circle. The distribution C is negatively skewed because the whisker and half-box are longer on the left side of the median than on the right side.Īll three distributions include potential outliers. The centre of distribution C is the highest of the three distributions (median is 0.88).It’s the most concentrated distribution because the interquartile range is 0.21, compared to 0.30 for distribution A and 0.26 for distribution C. Distribution B is approximately symmetric, because both half-boxes are almost the same length (0.11 on the left side and 0.10 on the right side).The distribution is positively skewed, because the whisker and half-box are longer on the right side of the median than on the left side. The centre of distribution A is the lowest of the three distributions (median is 0.11).The information is grouped by Measurement (appearing as row headers), Distribution A, Distribution B and Distribution C (appearing as column headers). This table displays the results of Data table for chart 4.5.2.1. Example 1 – Comparison of three box and whisker plots ![]() Data points that are outside this interval are represented as points on the graph and considered potential outliers. That is, the whisker reaches the value that is the furthest from the centre while still being inside a distance of 1.5 times the interquartile range from the lower or upper quartile.
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