Stem-and-Leaf Plot

Data Visualization
object

Grade 6-8

View on concept map

A stem-and-leaf plot displays numerical data by splitting each value into a stem and a leaf. Stem-and-leaf plots help students move from raw lists of data to distribution thinking without giving up the original values.

Definition

A stem-and-leaf plot displays numerical data by splitting each value into a stem and a leaf. It shows the distribution of the data while keeping the original values visible.

💡 Intuition

A stem-and-leaf plot is like a sorted list and a graph at the same time. You can see clusters, gaps, and repeated values without losing the exact numbers.

🎯 Core Idea

Good data displays do not just look neat. They make center, spread, clusters, and gaps easier to notice.

Stem
Leaves
1
2 4 4 7
2
1 3 5
Key: 1 | 2 = 12
Stem-and-leaf plot of the data set 12, 14, 14, 17, 21, 23, 25. Each row groups values by their tens digit (the stem); the units digits (leaves) are sorted left to right. Reading 1 | 2 means the value 12.

Example

For the data 12, 14, 14, 17, 21, 23, 25, the stems are 1 and 2, and the leaves are 2 4 4 7 and 1 3 5.

🌟 Why It Matters

Stem-and-leaf plots help students move from raw lists of data to distribution thinking without giving up the original values.

💭 Hint When Stuck

Sort the data first, decide what each stem represents, then place every leaf in order so the display stays readable.

See Also

stat box plot

🚧 Common Stuck Point

Students may not know whether to split by tens, hundreds, or decimals. The stem unit has to match the size of the data.

⚠️ Common Mistakes

  • Writing leaves out of order
  • Using inconsistent stem units
  • Forgetting to include a key that explains what a stem and leaf mean

Frequently Asked Questions

What is Stem-and-Leaf Plot in Statistics?

A stem-and-leaf plot displays numerical data by splitting each value into a stem and a leaf. It shows the distribution of the data while keeping the original values visible.

When do you use Stem-and-Leaf Plot?

Sort the data first, decide what each stem represents, then place every leaf in order so the display stays readable.

What do students usually get wrong about Stem-and-Leaf Plot?

Students may not know whether to split by tens, hundreds, or decimals. The stem unit has to match the size of the data.

How Stem-and-Leaf Plot Connects to Other Ideas

To understand stem-and-leaf plot, you should first be comfortable with frequency table and dot plot. Once you have a solid grasp of stem-and-leaf plot, you can move on to stat histogram and distribution shape.

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