What is a Stem-and-Leaf Plot?
A stem-and-leaf plot displays quantitative data in a semi-tabular format where each value is split into a stem (leading digits) and a leaf (final digit). For example, 73 → stem=7, leaf=3. It preserves every original value while showing distribution shape — something histograms and box plots cannot do.
Invented by statistician John Tukey in the 1970s, the stem-and-leaf plot remains a staple of introductory statistics courses. Unlike other chart types that aggregate data into bins or summaries, a stem and leaf plot keeps every data point visible, making it ideal for teaching statistical concepts and analyzing small datasets.
This free stem and leaf plot maker generates clean stem-and-leaf diagrams instantly. Simply paste your numbers, and the tool splits each value into stems and leaves, sorts them automatically, and displays a publication-ready table. Whether you are a student learning exploratory data analysis or a teacher preparing classroom materials, this online stem and leaf plot maker helps you create accurate diagrams in seconds.
Why Use a Stem and Leaf Plot?
- Preserve every data point. Unlike histograms that group values into bins, a stem-and-leaf plot shows each individual number, so no information is lost.
- See distribution shape instantly. The arrangement of leaves naturally reveals the shape of the data — symmetry, skewness, gaps, and clusters are visible at a glance.
- Perfect for small datasets. When you have 10 to 50 values, a stem and leaf plot maker provides a clear, compact view without the bin-width decisions required by histograms.
- Easy to create by hand or online. The format is simple: split each number into stem and leaf, then sort. This free online tool does the computation automatically.
- Ideal for education. Stem-and-leaf plots are widely used in middle school, high school, and college statistics courses to teach data organization, median finding, and distribution analysis.
- No data aggregation needed. Every original value is preserved, making stem-and-leaf plots excellent for quality control checks and precise data auditing.
Frequently Asked Questions
What is a stem and leaf plot?
How do I use this stem and leaf plot maker?
When should I use a stem and leaf plot?
What is the difference between a stem and leaf plot and a histogram?
Can I create a stem and leaf plot for large datasets?
How do I read the key in a stem and leaf plot?
Key Terms
- Stem
- The leading digit(s) of a number. For 73, the stem is 7. For 125, the stem is 12.
- Leaf
- The final digit of a number. For 73, the leaf is 3. For 125, the leaf is 5.
- Key
- Explains how to read the plot, e.g. '2 | 3 = 23' means stem=2, leaf=3 → value 23.
- Distribution
- The overall pattern of data — revealed by the arrangement of leaves across stems.
Computation Method
- Stem calculation: Each number is divided by 10, and the integer part becomes the stem (e.g. 73 → stem = 7). For multi-digit numbers, the stem is all digits except the last (e.g. 125 → stem = 12).
- Leaf extraction: The remainder modulo 10 becomes the leaf (e.g. 73 → leaf = 3, 125 → leaf = 5). Leaves are always single digits from 0 to 9.
- Sorting: Data is sorted in ascending order, then grouped by stem. Within each stem, leaves are sorted from smallest to largest.
- Key interpretation: The key (e.g. "2 | 3 = 23") defines how to reconstruct original values from stems and leaves.
References
- Tukey, J. W. (1977). Exploratory Data Analysis. Addison-Wesley.
- Emerson, J. D. & Hoaglin, D. C. (1983). "Stem-and-Leaf Displays." In Understanding Robust and Exploratory Data Analysis, ed. D. C. Hoaglin, F. Mosteller & J. W. Tukey, 7–32. Wiley.