Mathematics Grade 7 15 min

Stem-and-leaf plots

Stem-and-leaf plots

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1

Introduction & Learning Objectives

Learning Objectives Define stem, leaf, and key in the context of a stem-and-leaf plot. Construct a stem-and-leaf plot from a given set of numerical data. Interpret data presented in a stem-and-leaf plot, including finding the range, median, and mode. Compare two related data sets using back-to-back stem-and-leaf plots. Identify the advantages and disadvantages of using stem-and-leaf plots for data visualization. Organize data effectively before creating a stem-and-leaf plot. Ever wondered how to quickly organize a long list of numbers to see patterns and trends? 📊 Let's discover a neat way to display data that's both simple and powerful! In this lesson, you'll learn how to create and read stem-and-leaf plots, a special type of graph that helps us visualize d...
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Key Concepts & Vocabulary

TermDefinitionExample StemThe leading digit(s) of a number in a data set, which forms the 'stem' of the plot. For example, in the number 23, '2' would be the stem.For the number 47, the stem is 4. For the number 125, the stem is 12. LeafThe trailing digit(s) of a number, usually the last digit, which forms the 'leaf' of the plot. Each leaf is placed to the right of its corresponding stem.For the number 47, the leaf is 7. For the number 125, the leaf is 5. KeyAn essential part of a stem-and-leaf plot that explains how to read the plot. It shows one example of a stem and leaf pair and clearly states the value it represents.A key like '1 | 2 means 12' tells you that a stem of 1 and a leaf of 2 represents the number 12. Data SetA collection of numbers o...
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Core Formulas

Rule for Constructing a Stem-and-Leaf Plot 1. Order your data from least to greatest. 2. Separate each data point into a stem (leading digit(s)) and a leaf (last digit). 3. List stems vertically in ascending order. 4. Draw a vertical line to the right of the stems. 5. Write the leaves horizontally to the right of their corresponding stems, also in ascending order. 6. Include a clear key. This rule guides you through the process of organizing raw numerical data into the visual structure of a stem-and-leaf plot. Following these steps ensures your plot is accurate, easy to read, and correctly represents the data. Rule for Interpreting a Stem-and-Leaf Plot To interpret a stem-and-leaf plot, first use the key to understand the value represented by each stem-leaf pair. Then, read ac...

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Sample Practice Questions

Easy
In a stem-and-leaf plot, what is the primary purpose of the 'key'?
A.To list all the stems used in the plot
B.To explain how to read the stems and leaves as actual numbers
C.To show the total number of data points
D.To calculate the average of the data set
Easy
For the data point 78, which part is considered the 'stem' when creating a standard stem-and-leaf plot?
A.8
B.7
C.78
D.70
Easy
According to the tutorial, what is the very first step you should take when constructing a stem-and-leaf plot from a list of numbers?
A.Order the data from least to greatest
B.Draw a vertical line for the plot
C.Identify all the stems you will need
D.Create the key

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