Pareto Chart Final(1)

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    Project Report on

    Pareto chart principles and

    Histograms

    INSTITUTE OF MANAGEMENT STUDIES

    LAL QUAN, GHAZIABAD 201 009

    POST GRADUATION DIPLOMA IN

    MANAGEMENT

    SUBMITTED TO: -SUBMITTED BY:

    Prof Sunil Bakshi

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    Pareto Chart

    Pareto's rule is also known as the 80/20 rule. It was named after

    Vilfredo Pareto who, in the late 18th century, studied the

    distribution of wealth in Europe and found that 80% was held

    by 20% of the population.

    A Pareto chart is a bar graph. The lengths of the bars represent

    frequency or cost (time or money), and are arranged withlongest bars on the left and the shortest to the right. In this way

    the chart visually depicts which situations are more significant.

    A Pareto Chart is a vertical bar graph showing problems in a

    prioritized order, so it can be determined which problems

    should be tackled first. It is often useful to make Pareto Charts

    of data collected using the Check Sheet method, and in fact, the

    Check Sheet option includes a built-in Pareto Charting feature.

    Choose the categories (or "problem areas") to collect data for by

    brainstorming, or use existing data to look for these problem

    areas. The data you analyze must be "counts" or costs, and must

    be additive. Data should as yields or percentages cannot be

    added, so are inappropriate for Pareto analysis. You should also

    decide the time period over which the data should be collected.

    When to Use a Pareto Chart

    When analyzing data about the frequency of problems or

    causes in a process.

    When there are many problems or causes and you want to

    focus on the most significant.

    When analyzing broad causes by looking at their specificcomponents.

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    When communicating with others about your data.

    Pareto Chart Procedure When to Use a Pareto Chart

    1. Decide what categories you will use to group items.

    2. Decide what measurement is appropriate. Common

    measurements are frequency, quantity, cost and time.

    3. Decide what period of time the Pareto chart will cover:

    One work cycle? One full day? A week?4. Collect the data, recording the category each time. (Or

    assemble data that already exist.)

    5. Subtotal the measurements for each category.

    6. Determine the appropriate scale for the measurements you

    have collected. The maximum value will be the largest

    subtotal from step (If you will do optional steps 8 and 9

    below, the maximum value will be the sum of all subtotalsfrom step 5.) Mark the scale on the left side of the chart.

    7. Construct and label bars for each category. Place the

    tallest at the far left, then the next tallest to its right and so

    on. If there are many categories with small measurements,

    they can be grouped as other.

    8. Steps 8 and 9 are optional but are useful for analysis and

    communication.

    9. Calculate the percentage for each category: the subtotal

    for that category divided by the total for all categories.

    Draw a right vertical axis and label it with percentages. Be

    sure the two scales match: For example, the left

    measurement that corresponds to one-half should be

    exactly opposite 50% on the right scale.

    10. Calculate and draw cumulative sums: Add the

    subtotals for the first and second categories, and place adot above the second bar indicating that sum. To that sum

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    add the subtotal for the third category, and place a dot

    above the third bar for that new sum. Continue the process

    for all the bars. Connect the dots, starting at the top of the

    first bar. The last dot should reach 100 percent on the

    right scale

    Histograms

    Chart 1 shows how many customer complaints were received ineach of five categories.That are:

    Documents

    Product quality

    Packaging

    Delivery

    Other

    Types of Customer Complaints

    Second Quarter 2005

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    Chart 2 takes the largest category, documents, from Chart 1,

    breaks it down into six categories ofdocument-related

    complaints, and shows cumulative values.

    Quality Certificate Error

    Quality Certificate Missing

    Invoice Error

    Packing List Error

    Wrong Quantity

    Other

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    If all complaints cause equal distress to the customer, working on

    eliminating document-related complaints would have the most

    impact, and of those, working on quality certificates should be most

    fruitful.

    Interpretation

    If the cumulative line is straight, it is telling us that the

    contribution from each successive bar (after the first) is about

    even. These bars, then, should be about the same height. This

    says that no problems stand out as being more bothersome than

    the rest, which doesn't help much for problem solving.

    We can get "flat" Pareto Diagrams just by the way we gather

    our data. If we separate major problem areas into many small

    problem areas, than each bar won't have much in it, hence a flat

    shape. We might consider regrouping the problems into

    meaningful, larger problem areas.

    This rule says - "eighty percent of your troubles will come from

    20 per cent of your problems". In other words, problems will

    rarely have equal impact, so it is best to first concentrate on the

    most important.

    The value of this rule is not that it provides a scientifically

    accurate estimation of the weightings which attach to a range of

    alternatives (which it does not), but simply that it is a reminder

    to always look for 'the vital few' issues, and to separate them

    from 'the trivial many', before attempting to solve problems.The next step is to identify which particular problems are the

    most important. This is done by collecting appropriate data and

    displaying it in the form of a histogram with each measured

    characteristic shown in descending order of magnitude. Such a

    histogram is known as a Pareto chart.