Matematika

Kalkulačka histogramu

Histogram Calculator

Data (space/comma separated)

Number of Bins

✓Histogram (17 values, 5 bins)

[2.00, 5.80) — 4

[5.80, 9.60) — 4

[9.60, 13.40) — 3

[13.40, 17.20) — 3

[17.20, 21.00) — 3

What is Histogram Calculator?

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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.

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Vzorec

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f(x)Bins: define intervals. Frequency: count of values in each bin. Density = Frequency / (Bin Width × Total Count)

Variable Legend

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Symbol	Meno	Jednotka	Popis
Bin width	size of each interval	—	—
Frequency	count of data points in bin	—	—
Density	normalized frequency (probability per unit width)	—	—

How to Histogram Calculator

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

Worked Examples

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Example 1

Given:20 test scores, 5 bins

Výsledok:Each bin spans 10 points; reveals normal-like distribution

Real-World Applications

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🏗️

Data distribution visualization

🔬

Quality control and process monitoring

📊

Medical diagnosis (test result distributions)

🏥

Image processing and contrast adjustment

⚙️

Statistical analysis and reporting

Number of Bins Guidelines

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n (data points)	Suggested bins	Method
5–10	3–5	Square root
11–50	5–8	Square root
51–200	7–12	Sturges
201–1000	10–17	Sturges
1000+	15–20+	Rice rule

Frequently Asked Questions

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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).

References

›Histogram — Khan Academy

Deep Dive

Read the full guide on how to use this calculator effectively

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Accuracy-checked

Reviewed October 2026

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