# Stem and leaf plot examples

## Stem-and-leaf plots

A Stem and Leaf Plot is a special table where each data value is split into a "stem " (the first digit or digits) and a "leaf" (usually the last digit). Like in this example.

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This stem and leaf plot represents the predicted high temperatures for New York City in the next 10 days. With this kind of plot, the data values are already in numerical order, which makes it much easier to find the median. If we cross out each pair of highest and lowest values until the middle becomes visible, we can find the median. For example, the first pair of highest and lowest values is 70 and 57; the second pair is 69 and 59, and so on. This plot shows the top 20 final times for the two-man bobsled teams at the Winter Olympics.

A stem-and-leaf display or stem-and-leaf plot is a device for presenting quantitative data in a graphical format, similar to a histogram , to assist in visualizing the shape of a distribution. They evolved from Arthur Bowl 's work in the early s, and are useful tools in exploratory data analysis. Stemplots became more commonly used in the s after the publication of John Tukey 's book on exploratory data analysis in Modern computers' superior graphic capabilities have meant these techniques are less often used. A stem-and-leaf display is also called a stemplot , but the latter term often refers to another chart type.

Intro Examples. Stem-and-leaf plots are a method for showing the frequency with which certain classes of values occur. You could make a frequency distribution table or a histogram for the values, or you can use a stem-and-leaf plot and let the numbers themselves to show pretty much the same information. For instance, suppose you have the following list of values: 12, 13, 21, 27, 33, 34, 35, 37, 40, 40, You could make a frequency distribution table showing how many tens, twenties, thirties, and forties you have:. Stem-and-Leaf Plots.

Tutorial on how to read and interpret stem and leaf diagrams with examples and solutions. Example 1: The stem and leaf plot below shows the grade point averages of 18 students. The digit in the stem represents the ones and the digit in the leaf represents the tenths. Solution to Example Example 2: The back to back stem and leaf plot below shows the exam grades out of of two sections. The digit in the stem represents the tens and the digit in the leaf represents the ones.

## Stem and Leaf Plots

The tens digits would be the "stems", and the ones digits would be the "leaves". The smallest tens digit is 2 , and the greatest is 4 ; write them in vertically on the left. Then, for each stem, write the leaves in increasing order on the right:. Note that there are two 5 's in the second row, since there are two 35 's in the data set. Make a stem-and-leaf plot for the data set below. Use it to find the median, mode, and range of the data set.

## Stem-and-Leaf Plots: Examples

A random sample of 64 people were selected to take the Stanford-Binet Intelligence Test. After each person completed the test, they were assigned an intelligence quotient IQ based on their performance on the test. The resulting 64 IQs are as follows:. Once the data are obtained, it might be nice to summarize the data. We could, of course, summarize the data using a histogram. One primary disadvantage of using a histogram to summarize data is that the original data aren't preserved in the graph.

A stem and leaf display is a graphical method of displaying data. It is particularly useful when your data are not too numerous. In this section, we will explain how to construct and interpret this kind of graph. As usual, an example will get us started. Consider Table 1 that shows the number of touchdown passes TD passes thrown by each of the 31 teams in the National Football League in the season. A stem and leaf display of the data is shown in Figure 1. The left portion of Figure 1 contains the stems.

Intro Examples. The following examples provide some practice with stem-and-leaf plots, as well as explaining some details of formatting, and showing how to create a "key" for your plot. Stem-and-Leaf Plots. The first thing I'll do is reorder this list. It isn't required, but it surely makes life easier. My ordered list is:.

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