A histogram is a bar chart that shows the frequency distribution of numerical data. Data is grouped into bins (intervals), and the height of each bar represents how many values fall within that bin.

How many bins should a histogram have?

Sturges' rule (k = 1 + 3.322 × log₁₀(n)) is a common guideline. For 10 data points that gives about 4-5 bins. Too few bins hide patterns; too many create noise. You can also specify a custom number.

When should I use a histogram?

Use histograms when you want to see the shape of a distribution — whether data is symmetric, skewed, bimodal, or uniform. They work best with continuous numerical data and moderate to large datasets.

Histogram Calculator

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About Histogram Calculator

Enter a dataset and the histogram calculator automatically determines the optimal number of bins using Sturges' rule, counts frequencies, and creates a clear bar chart. You can also specify custom bin counts or widths for full control over the visualization.

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FAQ

Is this data visualization tool free?

Yes! Create histograms, box plots, scatter plots, dot plots, and stem-and-leaf diagrams completely free with step-by-step explanations. No account required.

What types of charts can I create?

You can create histograms (frequency distributions), box-and-whisker plots (with outlier detection), scatter plots (with optional regression lines), dot plots (stacked dots), and stem-and-leaf diagrams.

How does the histogram bin calculation work?

By default, the tool uses Sturges' rule (k = 1 + 3.322 × log₁₀(n)) to determine the optimal number of bins for your dataset. You can also specify a custom number of bins or a specific bin width.

Can I compare multiple datasets?

Yes! The box plot supports multiple groups, letting you compare distributions side by side. Scatter plots show relationships between two variables with optional regression analysis.

How are the step-by-step solutions generated?

All computations use numpy and scipy for mathematical precision. Each step shows the formula, substitution, and result — unlike AI chatbots, every calculation is deterministic and guaranteed to be correct.

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