Stem and leaf plots and histograms are the two most common ways to display the distribution of a small dataset in a statistics class. They show similar information but work differently — and one of them preserves your actual data while the other doesn't.
Choose a stem and leaf plot maker for 10–50 values when you need to preserve every number. Choose a histogram maker for larger datasets or presentation-ready distribution charts.
The core difference
A histogram groups values into bins and draws bars. You see how many values fall in each range, but the individual values disappear.
A stem and leaf plot splits each value into a stem (leading digits) and a leaf (trailing digit), then arranges them in rows. Every original value is preserved and readable.
Both show distribution shape. Only one lets you recover the original data.
Head-to-head comparison
| Stem & Leaf plot | Histogram | |
|---|---|---|
| Preserves original values | Yes | No |
| Shows distribution shape | Yes | Yes |
| Good for n < 50 | Yes | Not great |
| Good for n > 100 | No (crowded rows) | Yes |
| Back-to-back group comparison | Yes | No |
| Appropriate for presentations | No | Yes |
| Requires only pencil and paper | Yes | Needs software |
| Used in K–12 education | Yes | Yes |
| Used in research papers | Rarely | Frequently |
When a stem and leaf plot is better
- Dataset has 10–50 values and you need to recover or check the original numbers
- You're doing a classroom exercise or homework assignment
- You need to compare two small groups back-to-back
- Finding the median or quartiles by hand — stems sort the data for you
The back-to-back stem and leaf plot is uniquely useful for small-group comparison: two datasets share the same stems in the center, with one group's leaves on the left and the other's on the right. Medians, spreads, and shapes are quickly comparable.
When a histogram is better
- Dataset has 50+ values — stem and leaf rows become too long to read
- Creating a chart for a report, presentation, or publication
- You need a polished visual with custom colors and labels
- Comparing distributions using overlapping or side-by-side histograms
Same data, different output
Take the dataset: 62, 65, 68, 71, 73, 75, 78, 81, 85, 87
Stem and leaf plot:
6 | 2 5 8
7 | 1 3 5 8
8 | 1 5 7
You can read back every original value. The median (average of 5th and 6th values = 73 and 75 = 74) is immediately countable.
Histogram (10-point bins):
- 60–70: 3 values
- 70–80: 4 values
- 80–90: 3 values
You see the shape, but 62, 65, and 68 have all become "3 values in the 60–70 bin." The original numbers are gone.
The back-to-back stem and leaf plot
This is the stem and leaf plot's signature advantage — something no histogram format matches for small data:
Class A | Stem | Class B
8 5 2 | 6 | 1 4 6
9 7 5 1 | 7 | 2 3 5 8
8 4 2 | 8 | 0 5 9
5 | 9 | 2 4
Class B clearly has more values in the 70s and a tighter cluster. Class A skews slightly lower. You see this without much setup.
Why histograms dominate in practice
Despite their advantages for small data, stem and leaf plots have limitations:
- They don't scale past ~50 values
- They require a specific two-digit or three-digit number format
- They can't be colored, styled, or embedded in digital reports
- Software doesn't commonly generate them (they're a manual tool)
Histograms work at any scale, export cleanly, and are universally understood. This is why research papers use histograms almost exclusively — even for small datasets.
FAQ
Can I use a stem and leaf plot for decimal data?
Stem and leaf plots work best with integers. For decimal data (e.g., 7.3, 7.8), round to the nearest integer first, or treat the decimal as the leaf (stem = ones digit, leaf = tenths digit). The latter only works if all values have exactly one decimal place.
Which is easier to find the median from?
Stem and leaf plot — hands down. The leaves are automatically sorted within each stem, so you just count to the middle value. With a histogram, you'd need to interpolate within a bin.
Can a histogram and stem and leaf plot show the same data?
Yes — they're both distribution charts for the same type of data. The stem and leaf plot is the exact, value-preserving version; the histogram is the scalable, visual version.
How this guide is reviewed
This guide is maintained by the ChartsMakers Editorial Team and reviewed for statistical accuracy, product behavior, and clarity. When a guide relies on software behavior or statistical definitions, we check it against official documentation or established references. See our editorial policy.