Mathematics
Grade 6
15 min
Stem-and-leaf plots
Stem-and-leaf plots
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1
Introduction & Learning Objectives
Learning Objectives
Define the terms '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.
Correctly order the leaves in a stem-and-leaf plot.
Interpret data presented in a stem-and-leaf plot to identify individual data points.
Use a stem-and-leaf plot to find the mode and range of a data set.
Explain the purpose and benefits of using a stem-and-leaf plot for data organization.
Have you ever collected a lot of numbers and wondered how to make sense of them quickly? 🤔 Imagine you have all your classmates' test scores – how can you organize them to see patterns easily?
In this lesson, you'll learn about a clever way to organize numbers called a stem-and-leaf...
2
Key Concepts & Vocabulary
TermDefinitionExample
Stem-and-Leaf PlotA special type of chart used to display numerical data, where each data point is split into a 'stem' (usually the leading digit(s)) and a 'leaf' (usually the last digit). It helps organize data while still showing all original values.If the number is 23, the stem is 2 and the leaf is 3. If the number is 105, the stem could be 10 and the leaf 5.
StemThe leading digit or digits of a number in a stem-and-leaf plot. Stems are listed vertically in increasing order.For the numbers 15, 18, 21, 25, 30, the stems would be 1, 2, and 3.
LeafThe trailing (last) digit of a number in a stem-and-leaf plot. Leaves are listed horizontally next to their corresponding stem, usually in increasing order.For the number 23, the leaf is 3. For the numbe...
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Core Formulas
Splitting Data into Stem and Leaf
For a data point $N$, identify the leading digit(s) as the stem and the last digit as the leaf. \text{Example: } 47 \rightarrow \text{Stem } 4 \text{ | Leaf } 7
This rule defines how to break down each number in your data set to fit the plot structure. Typically, for two-digit numbers, the tens digit is the stem and the ones digit is the leaf.
Constructing the Stem Column
List all unique stems vertically in increasing order. Ensure no stems are skipped, even if they have no leaves. \text{Example: } \begin{array}{l} 1 \\ 2 \\ 3 \end{array}
This rule ensures your plot is organized and complete. The stem column acts like a number line for the leading digits of your data.
Adding and Ordering Leaves
For each stem, list its corresponding lea...
4 more steps in this tutorial
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Challenging
Consider the sit-ups data from the tutorial: {15, 16, 18, 20, 20, 21, 23, 27, 32, 35}. If the student who did 35 sit-ups is removed from the data set, what is the new range?
A.15
B.17
C.20
D.32
Challenging
A plot of 10 student heights (in cm) is shown. One leaf is smudged. Stem | Leaf -----|----- 14 | 5 8 15 | 0 2 2 6 9 16 | 1 X Key: 14|5 = 145 cm. If the range of the data is 18 cm, what is the value of the smudged leaf X?
A.0
B.2
C.3
D.8
Challenging
Look at the shape of the sit-ups plot from the tutorial: Stem | Leaf -----|----- 1 | 5 6 8 2 | 0 0 1 3 7 3 | 2 5 Key: 1 | 5 = 15. Where are most of the data points concentrated or 'clustered'?
A.In the high values (30s)
B.In the low values (10s)
C.They are evenly spread out
D.In the middle values (20s)
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