Box-and-Whisker Plot
See how to make a box-and-whisker plot
(from min to max, excluding outliers).
2 examples and their solutions.
Box-and-Whisker Plot: from Min to Max
Example
For the given values, make a box-and-whisker plot.
(Plot type: From minimum to maximum)
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
Solution (Plot type: From minimum to maximum)
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
↑
6.5
Q1 = 5
Q2 = 6.5
Q3 = 7 - [1]
↑
6.5
Q1 = 5
Q2 = 6.5
Q3 = 7 - [1]
[1]
Find the quartiles of the values.
[2]
Min: 1
Q1: 5
Q2: 6.5
Q3: 7
Max: 9
Q1: 5
Q2: 6.5
Q3: 7
Max: 9
Close
Box-and-Whisker Plot: Excluding Outliers
Example
For the given values, make a box-and-whisker plot.
(Plot type: Excluding outliers)
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
Solution (Plot type: Excluding outliers)
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
↑
6.5
Q1 = 5
Q2 = 6.5
Q3 = 7 - [1]
(IQR) = 7 - 5 - [2]
= 2
1.5⋅(IQR) = 1.5⋅2
= 3
↑
6.5
Q1 = 5
Q2 = 6.5
Q3 = 7 - [1]
(IQR) = 7 - 5 - [2]
= 2
1.5⋅(IQR) = 1.5⋅2
= 3
[1]
Find the quartiles of the values.
[2]
IQR: Q3 - Q1
(IQR: Interquartile range)
(IQR: Interquartile range)
[3]
Q1: 5
Q2: 6.5
Q3: 7
Draw the box part.
Draw the 1.5⋅(IQR) regions
at the both sides of the box part.
2 ~ 5, 7 ~ 10
Q2: 6.5
Q3: 7
Draw the box part.
Draw the 1.5⋅(IQR) regions
at the both sides of the box part.
2 ~ 5, 7 ~ 10
↓
1, 2, 4, 5, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9 - [4]
↑
6.5
↑
6.5
[4]
Find the left values that are not in 2 ~ 5.
→ 1: Outlier
Find the right values that are not in 7 ~ 10.
→ None
→ No outliers
→ 1: Outlier
Find the right values that are not in 7 ~ 10.
→ None
→ No outliers
[5]
Left side
Draw the outlier 1.
Draw the left whisker: 2-5.
(2: Min value that is in 2 ~ 5)
Right side
Draw the right whisker: 7-9.
(9: Max value that is in 7 ~ 10)
Draw the outlier 1.
Draw the left whisker: 2-5.
(2: Min value that is in 2 ~ 5)
Right side
Draw the right whisker: 7-9.
(9: Max value that is in 7 ~ 10)
Close