# Stem-and-Leaf Display Calculator

Free stem-and-leaf plot generator. Enter your data values and instantly create a stem-and-leaf display showing the distribution shape, median, range.

## What this calculates

Create a stem-and-leaf display from your dataset to visualize the distribution of values while preserving each individual data point. This tool also calculates key summary statistics including the minimum, maximum, range, and median.

## Inputs

- **Number of Values** — min 2, max 10 — How many data values to include (2-10).
- **Value 1** — Enter a whole number.
- **Value 2** — Enter a whole number.
- **Value 3** — Enter a whole number.
- **Value 4** — Enter a whole number.
- **Value 5** — Enter a whole number.
- **Value 6** — Enter a whole number.
- **Value 7** — Enter a whole number.
- **Value 8** — Enter a whole number.
- **Value 9** — Enter a whole number.
- **Value 10** — Enter a whole number.

## Outputs

- **Stem-and-Leaf Display** — formatted as text — The stem-and-leaf plot.
- **Minimum** — Smallest value in the dataset.
- **Maximum** — Largest value in the dataset.
- **Range** — Difference between maximum and minimum.
- **Median** — Middle value of the sorted dataset.

## Details

A stem-and-leaf display (also called a stemplot) is a method for organizing quantitative data in a way that shows the shape of the distribution while retaining all original values. Each number is split into a stem (typically the leading digit or digits) and a leaf (the last digit). The stems are listed in a column, and the corresponding leaves are arranged in order beside them.

Stem-and-leaf displays are especially useful for small to moderate datasets (up to about 50 values). They offer advantages over histograms because they preserve every data point, making it easy to find the median, mode, and identify outliers. They were popularized by the statistician John Tukey as part of exploratory data analysis (EDA) in the 1970s.

When reading a stem-and-leaf plot, each row represents a range of values. For example, a stem of 3 with leaves 2, 5, and 7 represents the values 32, 35, and 37. The overall shape of the display reveals whether the data is symmetric, skewed, or has multiple peaks.

## Frequently Asked Questions

**Q: What is a stem-and-leaf display?**

A: A stem-and-leaf display is a way to organize data that splits each value into a stem (leading digits) and a leaf (last digit). It looks like a sideways histogram but preserves every data value, making it easy to see the distribution shape and find specific values.

**Q: When should I use a stem-and-leaf plot instead of a histogram?**

A: Stem-and-leaf plots are best for small to medium datasets (roughly 10-50 values) where you want to see the distribution shape while keeping individual values visible. For very large datasets, histograms or density plots are more practical.

**Q: How do I read a stem-and-leaf display?**

A: Each row has a stem value followed by a vertical bar and then the leaves. Combine the stem with each leaf to reconstruct the original values. For instance, the row '4 | 1 3 7' represents the values 41, 43, and 47.

**Q: Can stem-and-leaf plots handle decimal numbers?**

A: This calculator works with whole numbers. For decimal data, you can multiply all values by a power of 10 to convert them to whole numbers, create the display, and then note the scaling factor in your interpretation.

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Source: https://vastcalc.com/calculators/statistics/stem-and-leaf
Category: Statistics
Last updated: 2026-04-21
