Mathematics
Grade 8
15 min
Interpret stem-and-leaf plots
Interpret stem-and-leaf plots
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1
Introduction & Learning Objectives
Learning Objectives
Identify the stem, leaf, and key of a given stem-and-leaf plot.
Extract individual data points from a stem-and-leaf plot.
Determine the total number of data points represented in a stem-and-leaf plot.
Calculate the range of a dataset from its stem-and-leaf plot.
Identify the mode(s) of a dataset from its stem-and-leaf plot.
Find the median of a dataset represented in a stem-and-leaf plot.
Compare and contrast two datasets using their respective stem-and-leaf plots.
Ever wondered how to quickly see patterns and key numbers in a list of data without drawing a complex graph? 🤔 Stem-and-leaf plots are a clever way to organize data while keeping all the original values!
In this lesson, you'll learn how to read and understand stem-and-leaf plots. We�...
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Key Concepts & Vocabulary
TermDefinitionExample
Stem-and-Leaf PlotA method of organizing numerical data in which each data value is split into a 'stem' (the leading digit(s)) and a 'leaf' (the trailing digit). It provides a visual representation of the data's distribution while retaining the original data values.For the number 23, '2' would be the stem and '3' would be the leaf. For 105, '10' could be the stem and '5' the leaf.
StemThe leading digit or digits of a data value in a stem-and-leaf plot. Stems are typically listed in ascending order in a vertical column.In a plot where '3 | 5' represents 35, '3' is the stem.
LeafThe trailing digit of a data value in a stem-and-leaf plot. Leaves are typically listed in ascending order h...
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Core Formulas
Rule for Reading Data Points
Each stem combined with each leaf represents one complete data value. The key specifies the place value.
To read any data point, take a stem and append each of its leaves to form individual numbers. Always refer to the key to understand the magnitude of the numbers (e.g., 2|3 could be 2.3, 23, or 230).
Rule for Finding the Range
$\text{Range} = \text{Maximum Value} - \text{Minimum Value}$
Identify the smallest data point (first leaf of the lowest stem) and the largest data point (last leaf of the highest stem) from the plot. Subtract the minimum from the maximum to find the range, which describes the spread of the data.
Rule for Finding the Mode
The mode is the data value(s) that appear most frequently in the dataset.
Look for leaves that...
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Challenging
Calculate the mean number of points scored by the basketball team. Round to the nearest tenth if necessary.
Stem | Leaves
-----|--------
0 | 8 9
1 | 2 5 5 8
2 | 0 1 3 3 6
3 | 2
Key: 1 | 2 = 12 points
A.19.0
B.18.5
C.22.2
D.20.5
Challenging
Consider the plot of student heights. If a new student with a height of 178 cm joins the class, how would the median height change?
Stem | Leaves
-----|--------
14 | 5 8 9
15 | 0 2 2 6 7
16 | 1 3 4 4 4 8
17 | 0 2 5
Key: 14 | 5 = 145 cm
A.It would increase from 161 cm to 162 cm.
B.It would decrease from 162 cm to 161 cm.
C.It would stay the same.
D.It would increase from 161 cm to 164 cm.
Challenging
Consider the plot of points scored in a game. How would the range change if the highest score (an outlier) was removed from the dataset?
Stem | Leaves
-----|--------
0 | 8 9
1 | 2 5 5 8
2 | 0 1 3 3 6
3 | 2
Key: 1 | 2 = 12 points
A.It would increase by 6.
B.It would stay the same.
C.It would decrease by 24.
D.It would decrease by 6.
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