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A histogram displays the frequency distribution of a dataset by dividing the range into equal-width bins and counting how many values fall in each bin. It reveals the shape, spread, and central tendency of data.

Формула

Bins: define intervals. Frequency: count of values in each bin. Density = Frequency / (Bin Width × Total Count)
Bin width
size of each interval
Frequency
count of data points in bin
Density
normalized frequency (probability per unit width)

Водич корак по корак

  1. 1Choose number of bins (Sturges: 1+log₂n)
  2. 2Bin width = (max−min)/bins
  3. 3Count values in each bin
  4. 4Bar height = frequency (or relative frequency)

Worked Examples

Инпут
20 test scores, 5 bins
Резултат
Each bin spans 10 points; reveals normal-like distribution

Frequently Asked Questions

How many bins should a histogram have?

Use Sturges' rule (k ≈ 1 + log₂(n)) or √n. Too few bins hide details; too many create noise.

Is a histogram the same as a bar chart?

No. Histograms show continuous data with adjacent bins; bar charts show categorical data with gaps.

What does the area of a histogram bar represent?

The area represents relative frequency (or probability if normalized).

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