In the above data, we can see that there are five zeros against the stem 16. This means that if we look at the most frequent value in each row we will get the most frequent value in our data which will be our mode. If we look carefully at the above stem and leaf plot we see that there are a different number of leaves against each stem. Mode – we know that mode of a data is the value that appears most frequently in a data set. Since these will be the largest values in the stem and leaf plot, therefore the maximum value of the data that is represented by this stem and leaf plot is 188.Ĭan we also find the mode using the stem and leaf plot? Let us find out. This means that the stem 18 and the leaves 0 and 8 represent the numbers 180 and 188 respectively. Also, the leaves against this number 18 are two numbers, 0 and 8. Maximum Value – Notice that the maximum value of the stem is 18. Now, let us look at the maximum value of the data represented by this stem and leaf plot. Since these will be the lowest values in the stem and leaf plot, therefore the minimum value of the data that is represented by this stem and leaf plot is 144. This means that stem 14 and the leaves 4 and 7 represent the numbers 144 and 147 respectively. Also, the leaves against this number 14 are two numbers, 4 and 7. Minimum Value – Notice that the minimum value of the stem is 14. Using this characteristic of the stem and leaf plot, we can identify the following from the above plot – We have learnt that the stem of a stem and the leaf plot represents the tens while the leaves of the plot represent the ones. What is the interpretation of this plot? Let us find out. Suppose we are given the following stem and leaf plot. So, how do we read a stem and leaf plot diagram if we have one? Let us understand this by an example. How to read a stem and leaf plot?Īs we have learnt, a stem and leaf plot is used for the schematic representation of data. Now that we have learnt what is meant by stem and leaf plot, let us understand how to read it. There is no other value that occurs more than that. The most frequent age (or the mode) in this data is 70 years because it occurs 3 times.The minimum age in the survey is 37 years and the maximum age is 70 years.What can be concluded from the above stem and leaf plot? The conclusion can be listed as – Similar is the case for other stems as well. Also, the 3 stem can represent any number from 30 to 39. From this explanation, we can also say that in a stem and leaf plot, the stem unit represents tens and the leaf unit represents single values. Similarly, 4 is the stem and 2 is the leaf and so on. Similarly, the key 4 | 0 2 3 8 represents the ages 40, 42, 43 and 48, which we have in the survey and here, 4 is the stem and 0 is the leaf. We can see in the above the stem and leaf plot that the key 3 | 7 means that it represents the age 37. How can plot the above information using a stem and leaf plot? Let us find out. The leaves are listed in increasing order in a row to the right of each corresponding stem.Įxample Suppose we have the following age in years for 15 people obtained from a certain survey – 70, 56, 37, 69, 70, 40, 66, 53, 43, 70, 54, 42, 54, 48, 68.Each stem is listed, even if some stems have no leaves. The stems are listed down in the left column.The stem and leaf plot is drawn in a table with two columns.The stem and leaf plot is used when your data is not too large, i.e.The stem is the first digit or digits, while the leaf is the last digit.Characteristics of a Stem and Leaf Plotįollowing are the characteristics of a stem and leaf plot – What are the characteristics of the stem and the leaf in this plot? Let us find out. A stem and leaf plot is called so as in this plot each numerical data value is split into a stem which is the first digit or digits and a leaf. In other words, the stem and leaf plot is a plot used to represent numerical data by showing its distribution. Characteristics of a Stem and Leaf PlotĪ stem-and-leaf diagram is a schematic representation of a set of data.
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