Stem and Leaf Plot Calculator

A stem-and-leaf plot is a compact way to display the shape of a numerical data set without losing the individual observations. Each value is split into a stem and a leaf. For ordinary whole-number data, the stem contains every digit except the final one, while the leaf is the final digit. The number 47 therefore appears as stem 4 and leaf 7. Values that share a stem sit on the same row, so clusters, gaps, and the overall spread become easy to see. This calculator accepts non-negative whole numbers and sorts them before constructing the display. Sorting is important because leaves must run from smallest to largest on each row. Repeated values remain repeated leaves; they are not removed. For the data 12, 14, 14, and 17, the row is written 1 | 2 4 4 7. That preserves both the values and their frequencies, which distinguishes a stem-and-leaf display from a simple list of unique observations. The plot is especially useful for small and medium data sets. It gives much of the visual information of a histogram while allowing a reader to reconstruct every input. A concentration of leaves on neighboring stems suggests a cluster, empty stems reveal gaps, and isolated leaves may indicate possible outliers. The first and last plotted values also reveal the minimum, maximum, and range immediately. Because the data stay visible, medians and modes can often be identified directly. Interpretation depends on the key. In this calculator, the final digit is always the leaf, so 1 | 2 means 12 and 10 | 5 means 105. Decimal measurements would require a different place-value convention and are therefore not accepted. If your observations contain decimals, multiply every value by the same power of ten before entering them, then explain that scale when presenting the plot. For example, temperatures recorded to one decimal place can be multiplied by ten. Stem-and-leaf plots work best when the data occupy a manageable range. A list that stretches from single digits to millions may create stems that are too sparse to be informative. In that situation, grouped frequency tables, dot plots, or histograms are usually clearer. For classroom exercises, quality-control readings, test scores, and other compact whole-number samples, this calculator provides an immediate, auditable display that can be copied into notes or checked against a hand-built plot.