Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, One way to determine if outliers are present is to create a box plot for the dataset. Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Do not put a depth on a line that contains no leaves.Want to cite, share, or modify this book? This book uses the
#FIND OUTLIERS ON A STEM PLOT HOW TO#
The following two examples illustrate how to create a stem-and-leaf plot from scratch for a given dataset. If the median fall between two lines, the depths of those two lines will be the same (and each will be half of the total sample size). This tutorial explains how to create and interpret stem-and-leaf plots. For the stem line that contains the median, count the number of leaves on the stem and put that number in parentheses. These indicate the depths of the values on that line to the closest end of the data set. Counting from each end, indicate to the left of each stem the total number of leaves from that line to the nearer end of the data set. If the 62.3 were split as 62 3, the example would be, Unit =. At the top of the display, indicate the unit of the leaf with a decimal point, and by providing an example such as in the case of 623 split as 6 2, Unit = 10 12 = 120 Extreme outliers can be simply listed as LO and HI on each end of the distribution. Five lines per stem: Place leaves 0 and 1 on a line labeled ∙, leaves 2 and 3 on a line labeled T (Two and Three), leaves 4 and 5 on a line labeled F (Four and Five), leaves 6 and 7 on a line labeled S (Six and Seven), and leaves 8 and 9 on a line labeled *.Ħ. Two lines per stem: Place leaves 0, 1, 2, 3, and 4 on the first line (indicated by a ∙ after the stem), and leaves 5, 6, 7, 8, and 9 on the second line (indicated by a * alone).ī. The choice of how many lines to use per stem is also dictated by how the final display looks.Ī. The two most commonly used arrangements are two lines per stem and five lines per stem.
The scatter graph below shows data for students on a hiking trip. There are no outliers visible, because there are no gaps in the stem and leaf plot. We call a data point an outlier if it doesnt fit the pattern. The distribution is roughly symmetric, because most of the data values lie in the middle of the stem and leaf plot.
When there are a large number of values, two or more lines can be used per stem. Use the stem and leaf plot to find the smallest observation. The leaves should be arranged in ascending order on each stem. Locate the stem for each number and write the leaf (first trailing digit) on that stem line. Sometimes we may have to compare different stem/leaf splits to find the one that creates the most informative display.Ĭreate a column of all of the possible stems from lowest to highest in the present data set.ĭraw a vertical line to separate the stems from the leaves. The choice of where to place this split is governed by how the final display looks. In the second case, 6 is the stem and 2 is the leaf. In that case, 62 is the stem and 3 is the leaf. A stem-and-leaf plot is a special table where each data value is split. For example, the number 623 can be split into 62 3 or 6 2 (throwing away the 3). There are two efficient graphs to get an indication of potential outliers in our. To provide a representation of all of our data which is both a graph and a table.Ĭhoose a pair of adjacent digit positions to split all numbers in the data set into stems and leafs.
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