Histogram Generator

Enter your data (comma, space, or newline separated)

Number of BinsAuto (Sturges' formula)Square root ruleCustom

Generate HistogramClear

What is a Histogram?

A histogram is a graphical representation of data distribution. It groups data into bins (intervals) and displays the frequency of values falling within each bin as bars.

How to Read a Histogram

• X-axis: Shows the range of values divided into bins
• Y-axis: Shows the frequency (count) of values in each bin
• Bar height: Represents how many values fall in that range
• Shape: Reveals the distribution pattern (symmetric, skewed, etc.)

Binning Methods

Sturges’ Formula (Auto)

k = 1 + 3.322 × log₁₀(n)

Good for normally distributed data with moderate sample sizes.

Square Root Rule

k = √n

Simple rule that works well for many distributions.

Custom Bins

Specify the exact number of bins based on your data and analysis needs.

Distribution Shapes

Shape	Description	Example
Symmetric	Mirror image on both sides	Test scores
Right-skewed	Tail extends to the right	Income data
Left-skewed	Tail extends to the left	Age at retirement
Bimodal	Two distinct peaks	Mixed populations
Uniform	All bars similar height	Random numbers

Statistics Provided

This tool calculates:

• Count: Total number of data points
• Min/Max: Range of values
• Mean: Average value
• Median: Middle value
• Range: Difference between max and min

Best Practices

1. Choose appropriate bin count - Too few bins hide patterns; too many create noise
2. Start with automatic binning - Adjust if needed
3. Consider your audience - Simpler histograms for general audiences
4. Label clearly - Include axis titles and units

Related Tools

• Mean Calculator - Calculate the average
• Standard Deviation Calculator - Measure spread
• Probability Calculator - Calculate probabilities