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Pareto Charts
Pareto (pa-RAY-toe) analysis is named after Vilfredo Pareto, an Italian economist who lived in the late 19th and
early 20th centuries. In 1897, he presented a formula that showed that income was distributed unevenly, with
about 80% of the wealth in the hands of about 20% of the people.

In a similar way, a disproportionately large percentage of errors or defects in any process are usually caused by
relatively few problems. Pareto analysis helps identify those significant few problems so people can target them
for action. It is particularly helpful in the measure and control phases of Six Sigma methodology.

What can it do for you?

There are so many aspects of work that can be improved, knowing where to begin is often difficult. Pareto
analysis will help you:

•   Categorize and stratify such things as errors, defects, delays, customer complaints or any other measures of
    the resulting quality of your process so that you can identify different classes or types of problems.
•   Graphically display your results so that the significant few problems emerge from the general background.

How do you do it?

1. Decide how to classify your problems. This may involve looking at the reasons cited for returned or rejected
   material, talking to your customer, or examining the rework aspects of your process.
2. Create a preliminary list of problem categories. Try to keep this list to no more than six or seven. (You may
   find yourself modifying this list as you continue your analysis.)
3. Decide on a time frame or other scope limitations on the material you will consider. The time frame or
   scope you choose should be representative of the whole process you are examining.
4. Tally the occurrences in each problem classification. (If cost or time is an issue, you may wish to tally the
   cost or time involved in each problem classification.) If a problem does not fit in any of your classifications,
   tally it as “other.”
5. Determine the total occurrences (or total cost or total time) in each classification. Add these totals to
   produce a grand total.
6. Divide each classification total by the grand total to determine the percentage that each individual problem
   classification represents of all the problems.
7. Arrange the problem classifications in order from highest value or most frequent to lowest value or least
   frequent. The “other” category should always be put last even if it is larger than some of the others.
8. Draw a horizontal axis and two vertical axes. Mark the left vertical axis in increments from zero to the grand
   total of all the problem classifications. Mark the right vertical axis in increments from zero to 100%.
9. Construct the vertical bar diagram beginning on the left with the highest percentage classification and
   progressing to the lowest and ending with “other.” The height of each bar should correspond with the value
   or number of occurrences on the left axis and the percentage of the total on the right axis. The width of the
   bars should be the same and they should be touching.
10. Label the bars under the horizontal axis.
11. Beginning at the left zero point, plot a line showing the cumulative percentage total reached with the
    addition of each problem classification. The line should end at the 100% mark on the right axis.
12. Title the chart. It is also a good idea to write a brief summary telling how and when you collected the data
    you used to produce your Pareto chart.




NOTE: The first pass at a Pareto chart may identify a significant problem that is still too big to work on. A
second Pareto analysis may be necessary to break this most significant problem into workable pieces.
Now what?

If everyone tried to make improvements individually with no definite basis for what they were doing, much
energy would produce disappointing results. A Pareto chart is a useful tool to draw the attention and
cooperation of all concerned to target the most important problems affecting quality.

•   Use the Pareto chart as a basis to “divide and conquer” problems. It tells you what to work on first.
•   It is normally easier to reduce a tall bar by half than to reduce a short bar to zero. Use the Pareto chart like a
    map to “island hop.” Significantly reduce one big problem, and then hop to the next. Leave the smaller
    problems for “mopping up” later.
•   Of course, if you find a small problem that is easy to fix, don’t ignore it. But don’t get tangled in chasing
    small problems or trying to fix everything at once.
•   After you have worked on the problems for a while, use the same techniques to collect data again and create
    a new Pareto chart.

The new chart will tell you how you are doing. Use the data on the new chart to identify and target the new most
significant problems.



                                           Pareto Chart
                         4000
                                                                                                       100




                                                                                                             Percent Distribution
      Jan 2008 Rejects




                         3000                                                                          80


                                                                                                       60
                         2000

                                                                                                       40

                         1000
                                                                                                       20


                0                                                                                      0
Jan 2008 Rejects                PS2      EY7         AD1        Others       FD1        Other
           2008                 1350     1000         500         320         300         180
         Percent                37.0     27.4        13.7         8.8         8.2         4.9
         Cum %                  37.0     64.4        78.1        86.8        95.1       100.0
Pareto charts can be used to identify problems to work on. They can help you produce greater efficiency,
conserve materials, reduce costs or increase safety. They are most meaningful, however, if your customer–the
person or organization that receives your work and helps define the problem categories.

                             Steven Bonacorsi is a Certified Lean Six Sigma Senior Master Black Belt instructor and coach.
                             Steven Bonacorsi has trained hundreds of Master Black Belts, Black Belts, Green Belts, and
                             Project Sponsors and Executive Leaders in Lean Six Sigma DMAIC and Design for Lean Six
                             Sigma process improvement methodologies. He has led some of the largest deployments in the
                             world and has saved hundreds of millions with his project teams results.

                             The AIT Group, Inc.
                             Steven Bonacorsi, Vice President, MBA, MS-CIS, PMP
                             Lean Six Sigma Master Black Belt
                             3135 South Price Road, Suite 115
                             Chandler, AZ 85248-3549
                             Phone: +(1) 888.826.2484
                             sbonacorsi@comcast.net
                             http://www.linkedin.com/in/stevenbonacorsi
                             http://www.theaitgroup.com

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Pareto Charts

  • 1. Pareto Charts Pareto (pa-RAY-toe) analysis is named after Vilfredo Pareto, an Italian economist who lived in the late 19th and early 20th centuries. In 1897, he presented a formula that showed that income was distributed unevenly, with about 80% of the wealth in the hands of about 20% of the people. In a similar way, a disproportionately large percentage of errors or defects in any process are usually caused by relatively few problems. Pareto analysis helps identify those significant few problems so people can target them for action. It is particularly helpful in the measure and control phases of Six Sigma methodology. What can it do for you? There are so many aspects of work that can be improved, knowing where to begin is often difficult. Pareto analysis will help you: • Categorize and stratify such things as errors, defects, delays, customer complaints or any other measures of the resulting quality of your process so that you can identify different classes or types of problems. • Graphically display your results so that the significant few problems emerge from the general background. How do you do it? 1. Decide how to classify your problems. This may involve looking at the reasons cited for returned or rejected material, talking to your customer, or examining the rework aspects of your process. 2. Create a preliminary list of problem categories. Try to keep this list to no more than six or seven. (You may find yourself modifying this list as you continue your analysis.) 3. Decide on a time frame or other scope limitations on the material you will consider. The time frame or scope you choose should be representative of the whole process you are examining. 4. Tally the occurrences in each problem classification. (If cost or time is an issue, you may wish to tally the cost or time involved in each problem classification.) If a problem does not fit in any of your classifications, tally it as “other.”
  • 2. 5. Determine the total occurrences (or total cost or total time) in each classification. Add these totals to produce a grand total. 6. Divide each classification total by the grand total to determine the percentage that each individual problem classification represents of all the problems. 7. Arrange the problem classifications in order from highest value or most frequent to lowest value or least frequent. The “other” category should always be put last even if it is larger than some of the others. 8. Draw a horizontal axis and two vertical axes. Mark the left vertical axis in increments from zero to the grand total of all the problem classifications. Mark the right vertical axis in increments from zero to 100%. 9. Construct the vertical bar diagram beginning on the left with the highest percentage classification and progressing to the lowest and ending with “other.” The height of each bar should correspond with the value or number of occurrences on the left axis and the percentage of the total on the right axis. The width of the bars should be the same and they should be touching. 10. Label the bars under the horizontal axis. 11. Beginning at the left zero point, plot a line showing the cumulative percentage total reached with the addition of each problem classification. The line should end at the 100% mark on the right axis. 12. Title the chart. It is also a good idea to write a brief summary telling how and when you collected the data you used to produce your Pareto chart. NOTE: The first pass at a Pareto chart may identify a significant problem that is still too big to work on. A second Pareto analysis may be necessary to break this most significant problem into workable pieces.
  • 3. Now what? If everyone tried to make improvements individually with no definite basis for what they were doing, much energy would produce disappointing results. A Pareto chart is a useful tool to draw the attention and cooperation of all concerned to target the most important problems affecting quality. • Use the Pareto chart as a basis to “divide and conquer” problems. It tells you what to work on first. • It is normally easier to reduce a tall bar by half than to reduce a short bar to zero. Use the Pareto chart like a map to “island hop.” Significantly reduce one big problem, and then hop to the next. Leave the smaller problems for “mopping up” later. • Of course, if you find a small problem that is easy to fix, don’t ignore it. But don’t get tangled in chasing small problems or trying to fix everything at once. • After you have worked on the problems for a while, use the same techniques to collect data again and create a new Pareto chart. The new chart will tell you how you are doing. Use the data on the new chart to identify and target the new most significant problems. Pareto Chart 4000 100 Percent Distribution Jan 2008 Rejects 3000 80 60 2000 40 1000 20 0 0 Jan 2008 Rejects PS2 EY7 AD1 Others FD1 Other 2008 1350 1000 500 320 300 180 Percent 37.0 27.4 13.7 8.8 8.2 4.9 Cum % 37.0 64.4 78.1 86.8 95.1 100.0
  • 4. Pareto charts can be used to identify problems to work on. They can help you produce greater efficiency, conserve materials, reduce costs or increase safety. They are most meaningful, however, if your customer–the person or organization that receives your work and helps define the problem categories. Steven Bonacorsi is a Certified Lean Six Sigma Senior Master Black Belt instructor and coach. Steven Bonacorsi has trained hundreds of Master Black Belts, Black Belts, Green Belts, and Project Sponsors and Executive Leaders in Lean Six Sigma DMAIC and Design for Lean Six Sigma process improvement methodologies. He has led some of the largest deployments in the world and has saved hundreds of millions with his project teams results. The AIT Group, Inc. Steven Bonacorsi, Vice President, MBA, MS-CIS, PMP Lean Six Sigma Master Black Belt 3135 South Price Road, Suite 115 Chandler, AZ 85248-3549 Phone: +(1) 888.826.2484 sbonacorsi@comcast.net http://www.linkedin.com/in/stevenbonacorsi http://www.theaitgroup.com