Histogram shapes / Uniform
Uniform Histogram (Flat Distribution)
A uniform histogram is roughly flat, with every bar about the same height. See an example, what a flat shape means, and how it differs from a bell shape.
What a uniform histogram looks like
A uniform histogram is flat. Every bar is roughly the same height, so no value or range is much more common than any other. Instead of a peak, you get a plateau.
The example above spreads evenly across all the bins, the pattern you expect from something like fair dice or evenly assigned slots.
What a flat shape means
A uniform shape says the outcomes are equally likely across the range. That is exactly what you want to see for a fair random process: a balanced die, a well-shuffled deal, or ID numbers assigned in order. If you expected a peak and got a plateau instead, it can mean the data is more random than you assumed, or that a rounding or bucketing step flattened it.
Mean and median
Because a uniform shape is symmetric, the mean and median both sit near the center of the range, even though no single value stands out as typical. The spread matters more than the center here, so the range and standard deviation tell you more than the average does.
Paste your own numbers into the histogram maker. Flat bars of similar height mean a uniform spread.
Frequently asked questions
- What does a uniform histogram mean?
- That values are spread evenly across the range, with no value much more common than another. It is the expected shape for a fair random process like rolling a balanced die.
- How is a uniform histogram different from a bell shape?
- A bell shape has a clear central peak with values concentrated in the middle. A uniform shape has no peak at all, just bars of roughly equal height across the whole range.