Stem and Leaf Plot Generator
Create stem-and-leaf plots to visualize data distribution. Find median, mode, and outliers with statistical analysis.
Statistics
Count
15
Data points
Enter Data
Plot Options
Stem-and-Leaf Plot
Frequency by Stem
Five-Number Summary
Min
23
Q1
31.5
Median
41.0
Q3
49.5
Max
61
How to Read a Stem-and-Leaf Plot
1. Find the Key: The key tells you how to interpret stems and leaves. For example, "2|5 = 25" means stem 2 with leaf 5 equals 25.
2. Read the Data: Each leaf represents one data point. "3 | 1 4 7" means there are three values: 31, 34, and 37.
3. Count Values: The number in parentheses shows how many data points are in each stem row.
4. Find the Median: The highlighted value shows the median (middle value) of your dataset.
?What is a Stem-and-Leaf Plot?
A stem-and-leaf plot displays numerical data by splitting each value into a 'stem' (leading digit(s)) and 'leaf' (trailing digit). For data 23, 25, 27, 31, 35, 41: stems are tens (2, 3, 4), leaves are ones. Result: 2|357, 3|15, 4|1. This preserves original data while showing distribution shape.
Definition
A stem-and-leaf plot (or stemplot) is a device for presenting quantitative data in a graphical format to assist in visualizing the shape of a distribution while retaining the original data values.
Key Facts About Stem-and-Leaf Plots
- Stem-and-leaf plots preserve all original data values while showing distribution
- The stem is the leading digit(s), the leaf is typically the last digit
- Data should be sorted in ascending order within each stem
- Median can be found by counting to the middle value in the plot
- Mode is the most frequently appearing leaf value
- Split stems (0-4 vs 5-9) provide more detail for large datasets
- Back-to-back plots compare two datasets on the same scale
- Outliers appear as isolated stems with few leaves
Frequently Asked Questions
A stem-and-leaf plot (stemplot) is a way to display quantitative data that preserves the original data values while showing the shape of the distribution. Each number is split into a stem (leading digits) and a leaf (trailing digit). For example, 47 has stem 4 and leaf 7.
1) Identify the stem unit (typically tens). 2) Write stems in a vertical column. 3) Write the leaf (ones digit) for each value next to its stem. 4) Order leaves from least to greatest. 5) Include a key showing how to read the plot, e.g., '2|3 = 23'.
A split stem-and-leaf plot divides each stem into two rows: one for leaves 0-4 and one for leaves 5-9. This provides more detail when data is concentrated in few stems. For stem 3: "3* | 0 1 2 3 4" and "3. | 5 6 7 8 9".
A back-to-back stem-and-leaf plot compares two datasets by sharing a common stem column. One dataset's leaves extend left, the other's extend right. This allows direct comparison of distributions.
Count the total number of data values (n). For odd n, the median is the (n+1)/2th value. For even n, average the n/2th and (n/2+1)th values. Count through the plot from smallest to largest to find these positions.
Use stem-and-leaf plots for small to medium datasets (typically 15-150 values) when you want to show distribution shape while preserving actual data values. They're excellent for finding median, mode, and identifying outliers.
Last updated: 2025-01-15
Statistics
Count
15
Data points