Mathematics Grade 5 15 min

Stem-and-leaf plots

Stem-and-leaf plots

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Introduction & Learning Objectives

Learning Objectives Identify the stem and leaf for a given number. Construct a stem-and-leaf plot from a given set of data. Read and interpret data presented in a stem-and-leaf plot. Correctly order leaves within a stem-and-leaf plot. Create and understand the importance of a key for a stem-and-leaf plot. Find the range and mode of a data set from a stem-and-leaf plot. Have you ever collected a lot of numbers, like test scores or daily temperatures, and wondered how to organize them neatly? 🤔 Stem-and-leaf plots are a super cool way to do just that! In this lesson, you'll learn how to take a jumble of numbers and turn them into a clear, organized picture called a stem-and-leaf plot. This skill helps us see patterns and understand data quickly, which is super useful in...
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Key Concepts & Vocabulary

TermDefinitionExample Stem-and-Leaf PlotA special type of graph that displays numerical data by separating each data point into a 'stem' (the leading digit or digits) and a 'leaf' (the final digit). It helps organize data while keeping all the original values.If the number is 23, the stem is 2 and the leaf is 3. If the number is 105, the stem is 10 and the leaf is 5. StemThe leading digit or digits of a number in a data set. Stems are usually placed in a column on the left side of the plot.For the numbers 15, 18, 21, 25, the stems would be 1 and 2. LeafThe final digit of a number in a data set. Leaves are placed in rows to the right of their corresponding stem.For the number 37, the stem is 3 and the leaf is 7. For the number 40, the stem is 4 and the leaf is 0. KeyAn...
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Core Formulas

Identifying Stem and Leaf $\text{Data Value} \rightarrow \text{Stem} \mid \text{Leaf}$ To create a stem-and-leaf plot, separate each number into its stem (the leading digit or digits) and its leaf (the final digit). For example, for 45, the stem is 4 and the leaf is 5. Constructing the Plot $\begin{array}{c|cc}\text{Stem} & \text{Leaves} \\ \hline \text{S}_1 & \text{L}_{1a} \quad \text{L}_{1b} \quad \dots \\ \text{S}_2 & \text{L}_{2a} \quad \text{L}_{2b} \quad \dots \\ \end{array}$ Draw a vertical line. Write the stems in ascending order to the left of the line. Write the leaves for each stem to the right of the line, also in ascending order. Creating a Key $\text{Key: S} \mid \text{L} = \text{Value}$ Always include a key to explain what the stem and leaf...

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Sample Practice Questions

Challenging
Below are plots for quiz scores in two classes. Which statement is true? Class A Stem | Leaves 7 | 1 5 9 8 | 2 4 4 9 | 0 Key: 7 | 1 = 71 Class B Stem | Leaves 6 | 8 7 | 2 7 8 | 5 6 9 9 Key: 6 | 8 = 68
A.Class A has a larger range of scores than Class B.
B.Both classes have the same mode.
C.Class B has a larger range of scores than Class A.
D.More students took the quiz in Class A than in Class B.
Challenging
A data set has 8 numbers. The smallest number is 1.5 and the largest is 3.0. The mode is 2.1. Which stem-and-leaf plot could represent this data?
A.Stem | Leaves 1 | 5 7 9 2 | 1 5 8 3 | 0 Key: 1|5=1.5
B.Stem | Leaves 1 | 5 7 9 2 | 1 1 5 8 3 | 0 Key: 1|5=1.5
C.Stem | Leaves 1 | 5 2 | 1 1 5 8 3 | 0 1 2 Key: 1|5=1.5
D.Stem | Leaves 1 | 5 7 9 2 | 1 1 5 8 3 | 0 Key: 1|5=15
Challenging
A stem-and-leaf plot is missing its key. One of the data points is known to be 4.5. Based on the plot below, what is the mode of the entire data set? Stem | Leaves -----|--------- 4 | 0 5 5 5 | 1 2
A.5
B.55
C.4.5
D.45

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