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Math for Kids23 chapters | 325 lessons

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Lesson Transcript

Instructor:
*Kelley Lipke*

Kelley has been teaching middle school for six years and has a master's degree in educational administration.

In this lesson, you'll learn about the parts of a stem-and-leaf plot with decimals and how to use them. You will also have a chance to practice reading and analyzing a sample stem-and-leaf plot with decimals.

Corey is a runner on the school track team. At the end of each track competition, he is responsible for displaying each team member's running time in a stem-and-leaf plot.

A **stem-and-leaf plot** is a way to organize and display numerical data or numbers. A stem-and-leaf plot organizes numbers in order from least to greatest. These numbers are also broken up based on **place value**, the numerical value a digit has because of its position in a number. The four main parts of a stem-and-leaf plot are: a title, stem column, leaf column, and a key.

The **title** tells you what the graph is about. In this example, the title is 'Race Running Times in Seconds.' What is this graph about? The title tells us that the graph shows the amount of time each student took to run the race, specifically in seconds.

The **stem** of the graph represents the digits in front of the decimal point. This includes digits in the ones, tens, hundreds, or thousands place. These numbers go in order from least to greatest, going down the left column of the graph.

The **leaf** of the graph represents the digits behind the decimal point. This includes digits in the tenths, hundredths, or thousandths place. These also go in order from least to greatest but on the right side of the graph.

The **key** is an important part in understanding how to read a stem-and-leaf plot, especially one with decimals. As shown in the example, 14 | 2, we know that someone ran the race in 14.2 seconds. In this example, the decimal point is between the stem and the leaf.

Let's say Corey needs to put the numbers 13.0, 13.2, and 13.5 into the stem-and-leaf plot. In this case, the whole number, or number in front of the decimal, 13, goes in the stem column. The digits behind the decimal point go in the leaf column, in increasing order. So, 13.0 is actually 13 | 0 and 13.2 is 13 | 2. Can you figure out what 13.5 looks like? 13.5 is 13 | 5.

Putting this all together, Corey's graph would show 13 | 0 2 5.

Example 1: What is the least amount of time spent running the race?

Since stem-and-leaf plots are organized from least to greatest, we know that we need to look at the top of the graph in order to answer this question.

The first set of digits in the stem column is 12. The first digit in the leaf column is 2.

The least amount of time spent running the race is 12.2 seconds.

Example 2: What is the most amount of time spent running the race?

We know that stem-and-leaf plots are organized from least to greatest, so we need to look at the bottom of the graph to answer this question.

The last set of digits in the stem column is 18. The last digit in the leaf column is 3.

The most amount of time spent running the race is 18.3 seconds.

Example 3: How many runners had a time more than 15.3 seconds?

The term 'more than' means we want to look at all the numbers that come after 15.3 in the graph. So we know that 12 runners had a time more than 15.3 seconds.

A **stem-and-leaf** plot is used to display and organize numerical data. Remember that the data goes in order from least to greatest, and it breaks numbers down based on place value. Look at the title to get an idea of what the data represents, and use the key to help you understand how to read the data in the graph.

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Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

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