keisoku

Box Plot Maker (from a Five-Number Summary)

Enter the five-number summary—minimum, first quartile, median, third quartile, and maximum—to instantly draw a horizontal box plot and review summary values such as the interquartile range (IQR) in a table.

Input

Enter the five-number summary in order: minimum, Q1, median, Q3, maximum.

Values detected: 5 (you need exactly 5 values in ascending order: min ≤ Q1 ≤ median ≤ Q3 ≤ max).

Result

Interquartile range (IQR)

35

1228456392MinQ1MedianQ3Max

Median

45

IQR

35

Range

80

Summary values

ItemValue
Minimum12
First quartile (Q1)28
Median (Q2)45
Third quartile (Q3)63
Maximum92
Interquartile range (IQR = Q3 − Q1)35
Full range (max − min)80
Lower whisker length (Q1 − min)16
Upper whisker length (max − Q3)29
Lower outlier fence (Q1 − 1.5 × IQR)-24.5
Upper outlier fence (Q3 + 1.5 × IQR)115.5

How it works

  • Enter five numbers in the order minimum, Q1, median, Q3, maximum, and a horizontal box plot is drawn automatically. The left and right edges of the box mark Q1 and Q3, the vertical line inside the box is the median, and the ends of the whiskers on each side mark the minimum and maximum.
  • Values may be separated by commas, spaces, or line breaks. There must be exactly five readable numbers, and they must be in ascending order: min ≤ Q1 ≤ median ≤ Q3 ≤ max.
  • The interquartile range (IQR) is Q3 minus Q1 and shows the width over which the middle 50% of the data spreads. A larger IQR indicates greater variability around the center.
  • The tool also calculates outlier fences as Q3 + 1.5 × IQR (upper) and Q1 − 1.5 × IQR (lower). These serve as a guide for whether actual data points fall outside the expected range.
  • To compare the distributions of several groups, work out the five-number summary for each group and plot them in turn, so you can visually compare the position of the medians and the differences in box width.