Mathematics
Grade 7
15 min
Interpret stem-and-leaf plots
Interpret stem-and-leaf plots
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify and define the components of a stem-and-leaf plot (stem, leaf, key).
Read and list all individual data values represented in a stem-and-leaf plot.
Determine the minimum, maximum, and range of a data set from a stem-and-leaf plot.
Find the mode and median of a data set directly from an ordered stem-and-leaf plot.
Describe the general shape and distribution of data presented in a stem-and-leaf plot.
Compare two data sets using back-to-back stem-and-leaf plots (implicitly through understanding individual plots).
Ever wonder how to quickly see patterns and specific numbers in a list of data without drawing a complicated graph? 🤔 Stem-and-leaf plots are a clever way to organize data that lets you do just that!
In this tutorial, you'll learn how...
2
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's like a hybrid of a table and a bar graph, showing both individual data points and the overall distribution.A plot showing `2 | 5` and a key `2 | 5 = 25` represents the number 25.
StemThe leading digit or digits of a data value in a stem-and-leaf plot. Stems are listed in a column on the left side of the vertical line.In the data value 47, the stem is 4. In the data value 123, the stem could be 12 (if leaves are single digits).
LeafThe trailing digit of a data value in a stem-and-leaf plot. Leaves are listed in rows to the right of their corresponding stem, typically in ascending...
3
Core Formulas
Reading Individual Data Values
Combine the stem with each leaf to form a complete data value, following the pattern set by the key.
To read any number from the plot, take a stem from the left column and combine it with one of its leaves from the right column. Always refer to the key to understand the place value.
Using the Key Correctly
The key defines the value of each stem-leaf pair. Always check the key before interpreting any numbers.
The key is crucial for understanding the magnitude of the numbers. For example, `1 | 2 = 12` is different from `1 | 2 = 1.2` or `1 | 2 = 120`. Misinterpreting the key leads to incorrect data analysis.
Finding Median and Mode from an Ordered Plot
For the median, count inward from both ends of the ordered leaves until you reach the midd...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Easy
In a stem-and-leaf plot, what is the primary purpose of the 'key'?
A.To list the smallest and largest data values
B.To show the total number of data points
C.To identify the mode of the data set
D.To explain how to read the stems and leaves as numerical values
Easy
Consider the following stem-and-leaf plot showing student test scores. What is the lowest score recorded in this plot?
Stem | Leaves
-----|--------
6 | 5 8
7 | 2 2 6 9
8 | 0 1 4 4 4 8
9 | 1 3
Key: 6 | 5 = 65
A.5
B.65
C.6
D.93
Easy
Using the same test score data, what is the highest score recorded?
Stem | Leaves
-----|--------
6 | 5 8
7 | 2 2 6 9
8 | 0 1 4 4 4 8
9 | 1 3
Key: 6 | 5 = 65
A.9
B.3
C.93
D.88
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free