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Transcript of PARETO DIAGRAM.pdf
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0100200300400500600
700800
100
80
60
40
20
0
%
Noofcomp
laints
Types of defects
What is a Pareto
diagram?
Pareto diagram is atechnique of arranging
data according to
priority or importance
and using into a
problem solving
framework.
This helps to find outthe VITAL FEW from
the USEFUL MANY for
problem selection.
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As said earlierPareto Analysis or
Pareto Diagram
is a technique of arrangingdata according to priority or
importance and using
it into a problem solvingframe work.
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This helps to find out the
"VITAL FEW"
from the
"USEFUL MANY"for problem selection
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We can observe that most of our
problems arise from a few of the
sources.
I failed in my exams, I could
not get into the college
tennis team, Mom isannoyed with me, I am
overweight. God, life could
not get any worse. All this
happened because of my
LAZINESS.
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It is few children in a class who
cause maximum nuisance
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The italian economistVilfredo Pareto (1848-1923)
during his study of
distribution of wealth in hiscountry observed that 80%
to 90% of the Italys wealth
lay in the hands of 10% to20% of the population.
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Study of wealth distribution by Italian economist
Vilfredo Pareto (1848 - 1923) in his country.
Italys Wealth
80 % of wealth
20% of wealth
Owned by 20% of the
population
Owned by 80% of the
population
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EXAMPLE
TYPE OF DEFECT NUMBER OF ITEMS
A. Motor winding 20
B. Bend in Blades 15C. Cracks on central rod 14
D. Capacitor 10
E. Scratches 12
F. Regulator 40G. Bend in screws 25
H. Others 14
Total 150
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In order to make a Pareto diagram the
data have to be rearranged according tothe order of importance i.e. factor or
defect which contributed to the
maximum problem
0
1020
30
40
50
60
70
80
90
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Here it is Regulator 40 Nos,
followed by next highesti.e.
Bend in screws 25 Nos. Inthis way arrange all the
data except for 'others'
which is cumulative of somany defects but
individually lower.
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To make a Pareto diagram rearranged data
table
TYPE OF DEFECT NUMBER OF DEFECTS
F. Regulator 40
G. Bend in screws 25A. Motor winding 20
B. Bend in Blades 15
C. Cracks on central rod 14
E. Scratches 12D. Capacitor 10
H. Others 14
Total 150
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Next step is to
calculate
"percentage of eachto total" and
"cumulative figuresof percentage " for
each type of defect.
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The percentage of "Regulator"
defect to total
= (40/150) X 100 = 27%
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And the percentage of "Bend
In Screws defect to total
= (25/150) X 100 = 17%
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Similarly,calculate the
percentages forall other types
of defects.
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Now arrange them in a table showing.
a) Type of defect
b) Number or quantum of defect.
c) Cumulative
d) Percentage of defect to totale) Cumulative percentage
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TYPE NUMBER CUM % OF CUMOF OF TOTAL %
DEFECT FANS
F. Regulator 40 40 27% 27%
G. Bend in Screws 25 65 17% 44%
A. Motor winding 20 85 13% 57%B. Bend in wings 15 100 10% 67%
C. Cracks in Central rod 14 114 9% 76%
E. Scratches 12 126 8% 84%
D. Capacitor 10 136 7% 91%
H. Others 14 150 9% 100%
Total 150 100%
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Now let us make the Pareto Graph. Draw a
vertical axis on both sides and marknumber on left and % on right. Draw
horizontal axis and divide it into No. of
intervals equivalent to types of defects
0102030
405060708090100
110120130140150 100
90
80
70
60
50
40
30
20
10
0
%
Quantity
(Nos)
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Construct a Bar Diagram to
represent the data as per tally
sheet
%
100
90
80
7060
50
40
30
20
10
0
01020304050
60708090
100110
120130140150
Qu
antity(No
s)
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Draw cumulative curve (Pareto Curve).
Mark the cumulative value (or percentage)
and connect the points by a line.
010
20304050
60708090
100110
120130
140150
65
85
100
114
126
136 100
90
80
70
60
50
40
30
20
10
0
%
Quantity(No
s)
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Write all the necessary information
concerning the diagram.
0
10
203040
5060
70
8090
100
110120130
140150
F
G
A
B
C
E
D
H
65
85
100
114
126
136 100
90
8070
60
50
40
30
20
10
0
%
Qu
antity(No
s)
Defects
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As you can see now Pareto Diagram is
a good tool for selection of a problem.
0
102030405060
708090
100110120
130140150
FG
A
B
C
E
D
H
65
85
100114
126136 100
90
80
70
60
50
4030
20
10
0
%
Qu
antity(No
s)
Defects
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This is made
based on data
and should helpin decision
making i.e. which
problem weshould tackle
first. Here
decision is basedon facts and not
on personal
preferences.
0
10
20
30
40
50
60
70
80
90
Worker F
Worker E
Worker C
Worker B
Worker A
Worker D
Worker G
100
80
60
40
20
0
%
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In this case first three defects contribute to 57% of theproblem and with the fourth one 67%. We should tackle
them for effective result. The defect cracks in central
rod has safety implications and hence to be included
in the vital few making 1 to 5 constituting 76%
F
GA
B
C
E
DH
Quantity
(Nos)
Defects
%
0
10
20
30
40
50
6070
80
90100
110
120
130
140
150
57 %67 %
76 %
100
90
80
7060
50
40
30
2010
0
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Identify few contributors from the diagram
which account for about 60% of the total.
PRINCIPLE FOLLOWED FOR SELECTION
0
10
20
30
40
50
60
70
80
90
Worker FWorker E
Worker C
Worker B
Worker A
Worker D
Worker G
100
80
60
40
20
0
%
Let us concentrate on the first two
workers. They constitute morethan 60% of the defective parts.
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Represent these as 'Vital Few' and
proceed towards solving these problems
We have chosen Workers E & F as
the vital few. Let us brainstorm to
gather useful suggestions so as to
impart meaningful training to them.
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Once they are solved or satisfactorily
attended to, collect data on present
situation on the defect status.
The performance of E & F
seems to have improved
considerably. I think weshould collect fresh data
on the present situation
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The present position maybe, that those
defects which were not in priority earlier are
now occupying prime position and hence
to be taken up for solving .
Worker C
Worker B
Worker AWorker D
Worker G
0
4
8
12
16
20
24
100
80
60
40
20
0
%
Now we should
concentrate on Worker C
and the rest
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Work on the same
line as earlier and
carry on till you are
totally satisfied inyour effort to
eliminate theproblem.
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Where you do not find such a change,group should decide how many defect
types should be taken up at a time
depending upon their capabilities.
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The most obvious and common use of
Pareto Analysis is in prioritizing and
defining problems.
USES OF PARETO ANALYSIS
The uses are as follows
QUALITY CIRCLE
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Pareto analysis is also useful to
identify the root causes of the
quality problems
LOT F
LOT E
LOT C
LOT BLOT A
LOT D
LOT G
%
0
10
20
30
40
50
60
70
80
90 100
80
60
40
20
0
Sir, problem is that the
LOT F is ---------------------
-----------------------
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Pareto analysis is useful to check
the effectiveness of the remedy on
its implementation.
I think we should draw a
pareto again to check up the
performance of the remedy.
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Pareto diagram before and after solving
a problem.
Defective parts manufactured worker-
wise HMT Limited
Worker F
Worker E
Worker C
Worker B
Worker A
Worker D
Worker G
0
10
20
30
4050
60
70
80
90 100
80
60
40
20
0
%
BEFORE
Worker CWorker B
Worker A
Worker D
Worker G
0
10
20
30
40
50
60
70
80
90
AFTER
100
80
60
40
20
0
%
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With the help of pareto analysis we are able topresent the data gathered in a lucid manner
which helps us to select 'Vital few' areas. This
way for a given effort we are able to get the
maximum benefit .
In order to find out the 'Vital few' factors we may
have to stratify the data available with us. Carryon the process of stratification ti ll you have a
clearer picture.
SUMMARY
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Pareto diagram is a visual method forseparating the 'Vital Few' from ' Useful Many.
This helps us in establishing consensus
regarding priorities based on facts. Therefore,it takes us quickly to the action stage.
Pareto also helps us to f ind out those items
which are not profitable for us to worry abouton an immediate basis. Sometimes such a
mistaken notion, which we might get due to
lack of information, would also be cleared.
SUMMARY
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Prepared by
rv ind K Shuk la
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