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STEM AND LEAF PLOTS
Swatanu 108 Shrey 102
Manan 85 Rajeev 72
Bertila 86 Vipender 87
GROUP 3
Stem and leaf plots are a graphical format of representing quantitative data
They are similar to histograms They evolved from Arthur Bowley’s work
in early 1900s and were commonly used in the 1980s after the publication of John Tukey’s Exploratory Data Analysis(EDA) in 1972.
Introduction
A Stem plot contains two columns separated by a vertical lineLeft column is the stem and the right column is the leafThe data is arranged in the ascending order
Usually the leaf contains the digit in the unit place and the stem contains all other digits
Description
Construction of Stem Plot
Data32,45,59,53,66,67,7175,76,79,81,81,81,8283,87,88,89,90,90,93100,100Key: 3/2=32Leaf unit 1Stem unit 10
STEM LEAF
3 2
4 5
5 3 9
6 6 7
7 1 5 6 9
8 1 1 1 2 3 7 8 9
9 0 0 3
10 0 0
Stem Plot for Decimal Data51.21, 53.22, 51.28,51.66, 53.25, 58.91,59.21, 52.34, 52.5454.81, 54.73, 55.71,56.73, 56.21, 57.9358.44, 59.79
Key: 51/21=51.21Stem unit 1Leaf unit 0.01
Stem Leaf
51 21 28 66
52 34 54
53 22 25
54 73 81
55 71
56 21 73
57 93
58 44 91
59 21 79
Splitting of a Stem Plot
31,49,19,62,50,24,45,23,51,32,48,55,60,40,35,54,26,57,37,43,65,50,55,18,53,41,50,34,67,56,44,4,54,52,39,52,
55,35,51,63
Stem Leaf
0(0) 4
0(5)
1(0)
1(5) 8 9
2(0) 3 4
2(5) 6
3(0) 1 2 4
3(5) 5 5 7 9
4(0) 0 1 2 3 4
4(5) 5 5 8 9
5(0) 0 0 0 1 1 2 3 4 4
5(5) 5 5 6 7 7
6(0) 0 2 3
6(5) 5 7
Advantages
Easy to construct Data is easily identified The data are grouped and all the original data
are shown Quickly informs about the silent features of
the data set
Disadvantages of Stem Plot
Difficult with large number of observations Not very good if there are many stems with
no leaves Cannot be used for categorical data
Uses an applications
Can be used to find Median Symmetry, skewness, outliers etc are easily
found Used to analyze data in sports
