# stem & leaf.ppt

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```					     Stem and Leaf Display

TARIQ MAHMOOD BAJWA

University of Veterinary & Animal
Sciences, Lahore.
Stem and Leaf display
A relatively small data set can be represent by stem and
leaf display. Each observation in stem and leaf display is
divided into two parts, a stem and a leaf.

 Stem is a leading digit of each number and is used
in sorting.
 Leaf is the rest of number or the trailing digit
and shown in display.
 A vertical line separates the leaf (or leaves) from stem.

Stem                 Leaf
Stem and Leaf display

 The stem and leaf table provides a useful description of
data set and can easily be converted to a frequency
table.

 In addition to information on the number of
observations falling in the various classes, it
display details of what those observations actually
are.
Stem and Leaf display
Steps for stem and leaf display

 The choice of stem unit is important when constructing
stem and leaf display.
 Note the minimum and maximum value.
 Take a stem unit and also mention the width of class
also.
 Draw a vertical line and display the stem to the left of
the vertical bar.
 Attached the leaves to the right hand side of vertical
bar.
Stem and Leaf display
Example
Minimum value = 87     Maximum value = 112
Stem unit     = 10     Width of class = 10

Stem             Leaf
8         79897
9         1120857668989
10         01021537567
11         2
Stem and Leaf display
Arranged stem and leaf table

Stem               Leaf
8            77899
9            0112566788899
10            00112355677
11            2
Stem and Leaf display
Example
Width of class = 5
Stem                  Leaf
8*          -
8.         79897
9*          1120
9.         857668989
10*          010213
10.         57567
11*          2
11.         -
* Indicates 0-4 . Indicates 5-9 [(*, .) are called place holder]
Back –to- Back Stem and Leaf display
Two data sets can be compared using Back-to-Back stem
and leaf display. In this case a single stem is constructed
and the values of one data set are assigned on the left and
the value of second data set are assigned on the right of
the stem.
Example: Compared using Back-to-Back stem and leaf
display
Data 1) 32 45     38     41     49      36    52
56    51   62    63     59     68
Data 2) 23 58     26     57     55      65    29
36    59   69    60
Back –to- Back Stem and Leaf display
Data 1                    Data 2
32        = Mini. value = 23
68        = Maxi. value = 69
Stem unit     = 10            Width of class = 10
Data 1                Data 2
(#13)                 (# 11)
Leaf                 Leaf
2      369
682       3      6
915       4
9162       5      8759
832       6      590

```
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