Matematika

Kalkulačka krabicového grafu

Box Plot Calculator

Data (space or comma separated)

✓Five-Number Summary

Min

2.00

7.00

Medián (Q2)

10.00

17.00

Max

21.00

IQR

10.00

📊Five-Number Summary

What is Box Plot Calculator?

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A box plot (box-and-whisker plot) visualises the distribution of data using five statistics: minimum, Q1, median, Q3, and maximum. Outliers are shown as individual points beyond 1.5×IQR from the quartiles.

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Vzorec

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f(x)Q1 = 25th percentile, Q2 (median) = 50th, Q3 = 75th; IQR = Q3 − Q1

Variable Legend

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Symbol	Meno	Jednotka	Popis
Min	minimum value	—	—
Q1	first quartile (25th percentile)	—	—
Q2	median (50th percentile)	—	—
Q3	third quartile (75th percentile)	—	—
Max	maximum value	—	—
IQR	interquartile range	—	Q3 − Q1

How to Box Plot Calculator

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1Q2 (median): middle value of sorted data
2Q1: median of lower half
3Q3: median of upper half
4IQR = Q3 − Q1; outlier threshold = 1.5×IQR

Worked Examples

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Example 1

Given:Data: 2,4,5,7,8,9,11,13

Výsledok:Min=2, Q1=4.5, Med=7.5, Q3=10, Max=13

Example 2

Given:IQR = 5.5, outlier threshold = 8.25 from quartiles

Výsledok:Any value < −3.75 or > 18.25 is an outlier

Real-World Applications

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🏗️

Data visualization and exploratory analysis

🔬

Quality control and manufacturing

📊

Medical research and statistics

🏥

Scientific data comparison

⚙️

Outlier detection systems

Box Plot Five-Number Summary

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Statistic	Description	Formula
Min	Smallest value	Min(data)
Q1	25th percentile	Median of lower half
Median	50th percentile	Middle value
Q3	75th percentile	Median of upper half
Max	Largest value	Max(data)

Frequently Asked Questions

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What is a boxplot used for?

Boxplots visualize the distribution, spread, and outliers of data at a glance.

How are outliers determined in a boxplot?

Points beyond 1.5×IQR from Q1 or Q3 are typically marked as outliers.

Is the median always at the center of the box?

No, the line inside the box shows the median's position relative to Q1 and Q3, reflecting data skewness.

References

›Box plot — Khan Academy

Accuracy-checked

Reviewed October 2026

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