7QC Tools - Hi Tech

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    7QC Tools

    Q7T/PPT- 1

    7 QC TOOLS7 QC TOOLS

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    Q7T/PPT- 2

    Types of 7QC tools

    Check Sheet

    Pareto Diagram

    Cause & Effect diagram

    Stratification

    Scatter Diagram

    Graph &Control charts

    Histogram

    7 QC Tools

    Types

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    Check sheetCheck sheet

    Check sheet

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    What is a check sheet?

    Why is a check sheet necessary?

    Check sheet

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    Check sheets are forms used for

    standardizing

    checking results of work

    verifying and collecting data

    Check sheet

    Check sheet

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    CheckSheet

    MeasuredData

    CountedData

    PrimaryData

    Point ScaleData

    OrderedData

    Indiscrete value such as height,weight, length, time & temp., Etc.

    Discrete value such as no. Ofrecording errors, no. ofItem sold

    & Rejections etc.

    YES / NO or / X - Type

    1st, 2nd Order Very Good, Good, No Good

    - Type

    1 Point, 2 Point etc.

    Types of Check Sheet

    Check sheet

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    Below items can be added , as necessary

    1. The purpose of the checks

    2. The items being checked

    3. The methods of the checks

    4. The dates and times of the checks

    5. The person to perform the checks

    6. The results

    Check points for check sheets preparation

    Check sheet

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    Defect check sheet

    Check sheet

    Example of check sheet

    Month ,day

    Component

    1

    2

    34

    5

    6

    7

    8

    9

    10

    4/1 2 3 4

    No. ofNo. ofdefectsdefects

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    You have to cut down your

    house expenditure by 20% / month

    How will you do it ?

    Now lets do an exercise!

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    BRAIN STORMING !

    Brain storming

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    BRAIN STORMING

    Brain storming can be conducted in two ways

    1. Structured

    Every person in a group must give an idea as their turnarises.

    Forces even shy people to participate.

    Creates a certain amount of pressure to contribute.

    Brain storming

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    2. Unstructured

    Group members simply give ideas as they come to mind. Creates more relaxed atmosphere

    Risks domination.

    Thumb rule : 5 15 minutes works well

    Brain storming

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    BRAIN STORMING

    Brain storming is a technique to obtain creative ideas froma group of persons in a shortest possible time on an effect.

    Brain storming plays an important role to build a cause and

    effect diagram

    To identify the problem - to identify the causes

    To find solution - to prevent problem

    Brain storming

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    BRAIN STORMING SESSION

    Let all the members speak freely and give ideas

    Encourage wild ideas

    Quantity rather than Quality ideas

    Suspend judgment on Good orBad

    Ride on anothers ideas

    Never criticize other persons opinions

    Never prohibit a person from speaking

    See the problem from different angles/facets

    Write down all the viewpoints

    List the cause/ideas

    Think of the countermeasures to eliminate the causes

    Leader/facilitator need to guide the members in generating ideas

    Whenever necessary non members can also be involved

    Brain storming

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    WHY BRAIN STORMING?

    TO IDENTIFY THE PROBLEM

    TO IDENTIFY CRITICAL CAUSES

    TO FIND THE SOLUTION

    TO PREVENT THE PROBLEM

    Brain storming

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    Cause & EffectCause & Effectdiagramdiagram

    Cause & effect diagram

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    To identify and systematically list the different causes

    that can be attributed to a problem (or an effect)

    To identify the reasons why a process goes out of

    control

    To decide which causes to investigate for process

    improvement.

    Why Cause & Effect ?

    Cause & effect diagram

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    What is Effect ?

    EFFECT = A Result or an outcome

    EFFECT is What happens

    Cause & effect diagram

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    What is cause ?

    CAUSE = Reason orFactor contributing to the EFFECT

    CAUSE is WHY it happens

    Cause & effect diagram

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    The analysis of

    why? for what?

    is cause and effect

    diagram

    Cause & effect diagram

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    In 1953, Kaoru Ishikawa, Professor of theUniversity of Tokyo, used the Cause & effectdiagram for the first time.A cause & effect diagram is also called a fishbone diagram since it looks like the skeleton

    of a fish.

    Cause & effect diagram

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    Cause & effect diagram

    The EFFECT or PROBLEM is stated on the right side of

    the diagram and the majorINFLUENCES or CAUSES arelisted to the left.

    Main problem

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    Cause & effect diagram

    2

    There are two kinds of cause & effect diagrams:

    1. Cause & effect diagrams for identifying causes.

    2. Cause & effect diagrams for systematically listing causes

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    Cause & effect diagram for identifying the causes

    Cause & effect diagram

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    More emphasis should be given to this type of cause &effect diagram.

    This is because this type of diagram is a great tool to list

    ALL the causes.No effort should be made while preparing this diagram toclassify the causes. (For example under the headings ofman, machine, material etc).

    Cause & effect diagram

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    Special effort should be made to identify as many causes aspossible

    The ideal method to identify as many causes as possiblewould be by brainstorming with the team members.

    Cause & effect diagram

    The classification of the causes should be taken up duringthe preparation of the second cause & effect diagram whichis specifically meant for classification of the causes.

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    Remember

    All the ideas/causes suggested by

    members during the brainstormingsession should be noted howeverinsignificant they may initially appear.Brainstorming is a session speciallymeant for free flow of ideas.

    Cause & effect diagram

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    Effect

    Causes

    1

    Cause & effect diagram

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    Cause & effect diagram

    DimensionalVariation

    Poor operator skill

    Machinevibration

    Wrong inspection method

    Wronginspectioninstrument

    Improperclamping onjig or fixture

    Operatorfatigue

    Wrong setting of job on locator

    Insufficienttraining

    Too muchtightening of job

    Improper material storage

    No inboundinspection ofraw material Raw material

    dimension tooclose to finaldimension

    Improper/warped shape of raw material

    Wrong spindle speed

    Wrongfeed

    Example

    1

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    Cause & effect diagram

    Cause & effect diagram for systematically listing causes

    The following steps can be followed to make a successfulCause & effect diagram for systematically listing causes

    Step 1

    List all the causes that have been suggested by teammembers as a part of brain storming.

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    Cause & effect diagram

    Step 3

    Assign an importance to each factor, & mark the particularlyimportant factors which seem to have a significant effect.

    Step 4Draw the diagram & continually look for improvement.

    Step 2

    Sort out the relations among the causes & connect the subcauses to the main causes. The main causes should thenbe connected to the effect.

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    Cause & effect diagram

    MACHINEMAN

    MATERI

    AL

    METHOD

    Fatigue

    Dimensional

    VariationLocation

    JIGS & FIXTURES

    STABILITY

    INSPECTION

    Method

    Attentiveness

    SPIRIT

    Experience

    HEALTH

    SKILL

    Storage

    QUALITY

    Inspection

    ShapeFORM

    Dimension

    Feed

    WORKING

    Spindle speed

    Illness Training

    ConcentrationInstrument

    Clamping

    Imbalance

    Vibration

    SETTING

    Degree of tightening

    Placement on locator

    2

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    A combination of Pareto diagram & cause and effectdiagram is an ideal way to arrive at the main problem & itscauses.

    Take the biggest problem from the pareto diagram & put iton the right side in the cause & effect diagram.

    Derive the causes for the same.

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    Whydefects?

    D

    People

    1st Why

    Plant

    PoliciesProcedure

    5th Why

    C

    3rd Why

    4th Why

    Thorough investigation

    of causes

    2nd Why

    Cause & effect diagram

    ASK WHY? 5 TIMES

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    Cause Verification

    4M Cause Specification Investigation Analysis

    Man No focused trainingFunctionwise

    trainingGeneric

    No method to measure

    operator's skills

    Skill matrix for

    each workmenNo skill matrix

    No OJTPractical training

    at genbaNo OJT

    Workmen not trained in

    specific jobs

    Need based

    training

    Common

    module given

    MaterialModule content is

    academic oriented

    Content should bespecific need

    based

    Theory based

    Method

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    Pareto diagramPareto diagram

    Pareto

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    Do you remember this? (14th March 2001 - Eden gardens )

    Pareto

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    Do you remember this? (14th March 2001 - Eden gardens )

    Pareto

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    Now lets look at the second innings score board:

    IndiaSS Das hit wicket b Gillespie 39

    S Ramesh c ME Waugh b Warne 30

    VVS Laxman c Ponting b McGrath 281

    SR Tendulkarc Gilchrist b Gillespie 10SC Ganguly c Gilchrist b McGrath 48

    R Dravid run out 180

    N R Mongia b McGrath 4

    Zaheer Khan not out 23

    Harbhajan Singh not out 8

    Total 657

    Pareto

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    When we observe which batsmen got the maximum runswe can see that Laxman & Dravid got 461 out of the 657runs. That is about 70% of the runs.

    22% of the 9 batsmen who batted got 70% of the runs!

    Lets now observe the Australian 2nd innings score card

    Pareto

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    Australia

    M Hayden lbw b Tendulkar 67M Slater c Ganguly b Harbhajan 43

    J Langer c Ramesh b Harbhajan 28

    M Waugh lbw b Raju 0

    S Waugh c Sub B Harbhajan 24R Ponting c Das b Harbhajan 0

    A Gilchrist lbw b Tendulkar 0

    J Gillespie c Das b Harbhajan 6

    S Warne lbw b Tendulkar 0M Kasprowicz not out 13

    G McGrath lbw b Harbhajan 12

    Total 212

    Pareto

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    Who got the wickets?

    O M R W

    Zaheer Khan 8 4 30 0

    V Prasad 3 1 7 0

    Harbhajan Singh 30.3 8 73 6

    V Raju 15 3 58 1

    S Tendulkar 11 3 31 3

    S Ganguly 1 0 2 0

    Pareto

    QC T l P

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    When we observe which bowlers got the maximum wickets we

    can see that Harbhajan & Tendulkar got 9 out of the 11wickets. That is about 80% of the wickets.

    30% of the 6 bowlers who bowled got 80% of the wickets! Thisillustrates the Pareto principle

    Paret

    7QC T l P t

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    Vilfredo Pareto was an Italian engineer in the 19th Centurywho studied the number of people in various income classes &declared

    20% of the people own 80% of the countrys wealth;80% of the people own 20% of the countrys wealth

    Pareto

    Pareto

    7QC T l P t

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    Pareto Principle

    Pareto principle holds good to the present day in variousapplications

    A fewcauses lead to manydefects;

    manycauses lead to fewdefects.

    The few causes that lead to many defects are the vital few.

    The many causes that lead to few defects are the trivial many.

    Pareto

    7QC T l P t

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    Get to the biggest problems first

    Solve the vital few

    Pareto

    7QC T l P t

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    1. Collect data

    2. Arrange data in the descending order

    3. Calculate the relative % for individual data

    4. Calculate the cumulative % for individual data

    5. Draw a graph with scales on both axis

    6. Draw bar chart based on data

    7. Using cumulative % data, draw cumulative curve

    8. Identify the VITALFEW (thumb rule > 70%)

    66

    45

    2015 12

    10 8 6 5 4 4 2 2 1

    33

    55.5

    65.5

    73

    79

    8488

    9193.5

    95.597.5 98.5

    99.5 100

    0

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    Pareto

    Creating a Pareto Diagram

    Steps

    7QC Tools Pareto

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    Data collection through check sheetPeriod : Week No. 45 To 50

    No. Of External Phone CallsSl.No Department No. Of cells regd.

    1 Production Engineering 10

    2 Quality 2

    3 Service 12

    4 Marketing 455 Plant Maintenance 20

    6 Factory production 2

    7 Manufacturing Planning 1

    8 Stores 5

    9 Personnel 810 Materials 66

    11 Finance 15

    12 Research & Development 4

    13 Information & Systems 6

    14 Others 4

    STEP 1 6645

    2015 12

    10 8 6 5 4 4 2 2 1

    33

    55.5

    65.5

    73

    79

    8488

    9193.5

    95.597.5 98.5

    99.5 100

    0

    25

    50

    75

    100

    125

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    175

    200

    Ma

    teria

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    Marke

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    Finance

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    Pro

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    Eng

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    Personne

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    Sys

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    Stores

    Researc

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    lopmen

    t

    Others

    Qua

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    Fac

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    Manu

    fac

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    Innos

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    Pareto

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    Sl.No Department No. Of cells reqd.

    1 Materials 66

    2 Marketing 45

    3 Plant Maintenance 20

    4 Finance 15

    5 Service 12

    6 Production Engineering 10

    7 Personnel 8

    8 Information Systems 6

    9 Stores 5

    10 Research & Development 4

    11 Others 4

    12 Quality 2

    13 Factory production 2

    14 Manufacturing Planning 1

    200

    66

    45

    2015 12

    10 8 6 5 4 4 2 2 1

    33

    55.5

    65.5

    73

    79

    8488

    9193.5

    95.597.5 98.5

    99.5 100

    0

    25

    50

    75

    100

    125

    150

    175

    200

    Ma

    teria

    ls

    Marke

    ting

    Plan

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    Finance

    Serv

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    Pro

    duc

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    Eng

    ineering

    Personne

    l

    Informa

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    Stores

    Researc

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    t

    Others

    Qua

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    Manu

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    Innos

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    In%

    Pareto

    STEP 2 Arrange data in the descending orderNo. Of External Phone Calls

    7QC Tools Pareto

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    Sl.No Department Nos. Relative %

    1 Materials 66 33.0

    2 Marketing 45 22.5

    3 Plant Maintenance 20 10.0

    4 Finance 15 7.5

    5 Service 12 6.0

    6 Production Engineering 10 5.0

    7 Personnel 8 4.0

    8 Information Systems 6 3.0

    9 Stores 5 2.5

    10 Research & Development 4 2.0

    11 Others 4 2.0

    12 Quality 2 1.0

    13 Factory production 2 1.0

    14 Manufacturing Planning 1 0.5

    200

    66

    45

    2015 12

    10 8 6 5 4 4 2 2 1

    33

    55.5

    65.5

    73

    79

    8488

    9193.5

    95.597.5 98.5

    99.5 100

    0

    25

    50

    75

    100

    125

    150

    175

    200

    Ma

    teria

    ls

    Marke

    ting

    Plan

    t

    Ma

    intenance

    Finance

    Serv

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    Pro

    duc

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    Eng

    ineering

    Personne

    l

    Informa

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    Stores

    Researc

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    Others

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    Manu

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    Innos

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    In%

    Pareto

    STEP 3 Calculate the relative % for individualNo. Of External Phone Calls

    7QC Tools Pareto

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    Sl.No Department Nos. Relative % Cumulative %

    1 Materials 66 33.0 33.0

    2 Marketing 45 22.5 55.5

    3 Plant Maintenance 20 10.0 65.5

    4 Finance 15 7.5 73.0

    5 Service 12 6.0 79.0

    6 Production Engineering 10 5.0 84.0

    7 Personnel 8 4.0 88.0

    8 Information Systems 6 3.0 91.0

    9 Stores 5 2.5 93.5

    10 Research & Development 4 2.0 95.5

    11 Others 4 2.0 97.5

    12 Quality 2 1.0 98.5

    13 Factory production 2 1.0 99.5

    14 Manufacturing Planning 1 0.5 100.0

    200 100

    66

    45

    2015 12

    10 8 6 5 4 4 2 2 1

    33

    55.5

    65.5

    73

    79

    8488

    9193.5

    95.597.5 98.5

    99.5 100

    0

    25

    50

    75

    100

    125

    150

    175

    200

    Ma

    teria

    ls

    Marke

    ting

    Plan

    t

    Ma

    intenance

    Finance

    Serv

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    Pro

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    Eng

    ineering

    Personne

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    Informa

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    Stores

    Researc

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    Others

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    Manu

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    Plann

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    Innos

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    25

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    In%

    Pareto

    STEP 4 Calculate the cumulative % for individualData No. Of External Phone Calls

    7QC Tools Pareto

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    Sl.No Department Nos. Relative % Cumulative %

    1 Materials 66 33.0 33.0

    2 Marketing 45 22.5 55.5

    3 Plant Maintenance 20 10.0 65.5

    4 Finance 15 7.5 73.0

    5 Service 12 6.0 79.0

    6 Production Engineering 10 5.0 84.0

    7 Personnel 8 4.0 88.0

    8 Information Systems 6 3.0 91.0

    9 Stores 5 2.5 93.5

    10 Research & Development 4 2.0 95.5

    11 Others 4 2.0 97.5

    12 Quality 2 1.0 98.5

    13 Factory production 2 1.0 99.5

    14 Manufacturing Planning 1 0.5 100.0

    200 100

    TRIVIAL

    MANY

    VITAL FEW

    Pareto

    7QC Tools Pareto

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    Sl.No Department Nos. Relative % Cumulative %

    1 Materials 66 33.0 33.0

    2 Marketing 45 22.5 55.5

    3 Plant Maintenance 20 10.0 65.5

    4 Finance 15 7.5 73.0

    5 Others 60 27 100

    200 100

    Pareto

    7QC Tools Pareto

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    Pareto

    66

    45

    2015

    54

    0

    30

    60

    90

    120

    150

    180

    Materials

    Marketing

    PlantMaintenance

    Finance

    others

    Dept

    Inn

    os

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    Q7T/PPT- 56

    66

    45

    2015

    5433

    55.5

    65.5

    73

    100

    0

    30

    60

    90

    120

    150

    180

    Materials

    Marketing

    PlantMaintenance

    Finance

    others

    Dept

    Inn

    os

    0

    25

    50

    75

    100

    Cumulative%

    Pareto

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    Q7T/PPT- 57

    Pareto

    66

    45

    2015

    5433

    55.5

    65.5

    73

    100

    0

    30

    60

    90

    120

    150

    180

    Materials

    Marketing

    Plant

    Maintenance

    Finance

    others

    Dept

    Innos

    0

    25

    50

    75

    100

    Cum

    ulative%

    Vital

    Few

    70 %

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    7QC Tools

    Q7T/PPT- 58

    To Clearly prioritise the magnitude of the problem.

    To identify the vital few and trivial many problems.

    To find 80/20 rule which states that 80% of the

    problems are created by 20% of the causes.

    Pareto

    Why pareto ?

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    7QC Tools

    Q7T/PPT- 59

    1. The most important problem

    2. The rate of each problem to the whole

    3. The degree of improvement action

    4. The comparison of improvement level

    5. Before & after remedial action taken

    Pareto

    66

    45

    2015 12

    10 8 6 5 4 4 2 2 1

    33

    55.5

    65.5

    73

    79

    8488

    9193.5

    95.597.5 98.5

    99.5 100

    0

    25

    50

    75

    100

    125

    150

    175

    200

    Ma

    teria

    ls

    Marke

    ting

    Plan

    t

    Ma

    intenance

    Finance

    Serv

    ice

    Pro

    duc

    tion

    Eng

    ineering

    Personne

    l

    Informa

    tion

    Sys

    tems

    Stores

    Researc

    h&

    Deve

    lopmen

    t

    Others

    Qua

    lity

    Fac

    tory

    pro

    duc

    tion

    Manu

    fac

    turing

    Plann

    ing

    Dept

    Innos

    0

    25

    50

    75

    100

    In%Pareto diagram is used to find out

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    7QC Tools

    Q7T/PPT- 60

    You have to cut down your

    house expenditure by 20% / month

    How will you do it ?

    Pareto

    Same problem, but different approach

    ParetParet

    oo

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    7QC Tools

    Q7T/PPT- 61

    Make a check list of all the expenses

    in your home & the amount youspend on these expenses

    Pareto

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    7QC Tools

    Q7T/PPT- 62

    Sl.No Expense Amount

    1 House Rent 3000

    2 Electricity Bill 5003 WaterBill 280

    4 Cable TV Bill 210

    5 News paper bill 120

    6 Milkman 300

    7 Maid servant 1508 Groceries 2000

    9 Entertainment & Lifestyle 1500

    10 Travel 200

    11 Educational 1500

    12 Hospital 20013 Insurance Premium 500

    14 Loan repayment 0

    15 Clothes 200

    16 Petrol 1300

    17 Others 300

    Pareto

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    7QC Tools

    Q7T/PPT- 63

    Arrange these expenses & amounts

    in an order, with the highestexpense being the first & lowest

    expense being the last

    Pareto

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    Q

    Q7T/PPT- 64

    Sl.No Expense Amount

    1 House rent 3000

    2 Groceries 2000

    3 Entertainment 1500

    4 Educational 1500

    5 Petrol 1300

    6 Electricity bill 500

    7 Insurance premium 500

    8 Milkman 300

    9 Others 300

    10 Water bill 280

    11 Cable TV 210

    12 Travel 200

    13 Clothes 200

    14 Hospital 200

    15 Maid servant 150

    16 News paper 120

    17 Loan repayment 0

    12260

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    Q

    Q7T/PPT- 65

    Calculate the percentage contribution of each of theseexpenses.

    Percentage can be calculated by the formula

    Individual expense

    Total expenseX 100

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    Q7T/PPT- 66

    Sl.No Department Nos. Relative %

    1 House rent 3000 24.47

    2 Groceries 2000 16.32

    3 Entertainment 1500 12.23

    4 Educational 1500 12.23

    5 Petrol 1300 10.6

    6 Electricity bill 500 4.08

    7 Insurance premium 500 4.088 Milkman 300 2.45

    9 Others 300 2.45

    10 Water bill 280 2.28

    11 Cable TV 210 1.72

    12 Travel 200 1.63

    13 Clothes 200 1.63

    14 Hospital 200 1.63

    15 Maid servant 150 1.22

    16 Newspaper 120 0.98

    17 Loan repayment 0 0

    12260 100

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    Q7T/PPT- 67

    Sl.No Department Nos. Relative % Cumulative %

    1 House rent 3000 24.47 24.47

    2 Groceries 2000 16.32 40.793 Entertainment 1500 12.23 53.02

    4 Educational 1500 12.23 65.25

    5 Petrol 1300 10.6 75.85

    6 Electricity bill 500 4.08 79.93

    7 Insurance premium 500 4.08 84.01

    8 Milkman 300 2.45 86.46

    9 Others 300 2.45 88.91

    10 Water bill 280 2.28 91.19

    11 Cable TV 210 1.72 92.91

    12 Travel 200 1.63 94.54

    13 Clothes 200 1.63 96.1714 Hospital 200 1.63 97.8

    15 Maid servant 150 1.22 99.02

    16 Newspaper 120 0.98 100

    17 Loan repayment 0 0 100.0

    12260 100 100

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    Q7T/PPT- 68

    Sl.No Department Nos. Relative % Cumulative %

    1 House rent 3000 24.47 24.47

    2 Groceries 2000 16.32 40.793 Entertainment 1500 12.23 53.02

    4 Educational 1500 12.23 65.25

    5 Petrol 1300 10.6 75.85

    6 Electricity bill 500 4.08 79.93

    7 Insurance premium 500 4.08 84.01

    8 Milkman 300 2.45 86.46

    9 Others 300 2.45 88.91

    10 Water bill 280 2.28 91.19

    11 Cable TV 210 1.72 92.91

    12 Travel 200 1.63 94.54

    13 Clothes 200 1.63 96.1714 Hospital 200 1.63 97.8

    15 Maid servant 150 1.22 99.02

    16 Newspaper 120 0.98 100

    17 Loan repayment 0 0 100.0

    12260 100 100

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    Q7T/PPT- 69

    0

    2000

    4000

    6000

    8000

    10000

    12000

    HouseR

    ent

    Grocerie

    s

    Ente

    rtainment

    Educ

    atio

    nal

    Petro

    l

    Others

    Expenses

    Amount

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    Cumulative%

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    Q7T/PPT- 70

    Histogram

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    Q7T/PPT- 71

    In quality control, we try to discover facts by collecting data &then take necessary action based on those facts.

    The data is not collected as an end in itself, but as a meansof finding out the facts behind the data.

    Data

    FACTS

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    Q7T/PPT- 72

    Histogram shows a bar chart of accumulated data and

    provides the easiest way to evaluate the distribution of

    data .

    The sizes of the vertical bars reflects the number of data

    that fall into these spaces.

    What is histogram ?

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    Q7T/PPT- 73

    How to make a histogram?Let us make a histogram using an example.

    Example:

    To investigate the distribution of thediameters of steel shafts produced inthe grinding process, the diametersof 90 shafts are measured asshown in the table.

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    Q7T/PPT- 74

    Sample

    Number

    1 - 10 2.51 2.517 2.522 2.522 2.51 2.511 2.519 2.532 2.543 2.525

    11 - 20 2.527 2.536 2.506 2.541 2.512 2.515 2.521 2.536 2.529 2.524

    21 - 30 2.529 2.523 2.523 2.523 2.519 2.528 2.543 2.538 2.518 2.53431 - 40 2.52 2.514 2.512 2.534 2.526 2.53 2.532 2.526 2.523 2.52

    41 - 50 2.535 2.523 2.526 2.525 2.532 2.522 2.502 2.53 2.522 2.514

    51 - 60 2.533 2.51 2.542 2.524 2.53 2.521 2.522 2.535 2.54 2.528

    61 - 70 2.525 2.515 2.52 2.519 2.526 2.527 2.522 2.542 2.54 2.528

    71 - 80 2.531 2.545 2.524 2.522 2.52 2.519 2.519 2.529 2.522 2.513

    81 - 90 2.518 2.527 2.511 2.519 2.531 2.527 2.529 2.528 2.519 2.521

    Results of Measurement

    Diameter after grinding

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    Step 1Calculate the range (R)

    Obtain the largest & smallest of observed values & calculate R.

    R=

    (the largest observed value) (the smallest observed value)

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    Q7T/PPT- 76

    R = 2.545 2.502 = 0.043

    Step 1

    Calculate the range (R)Obtain the largest & smallest of observed values & calculate R.

    R = (the largest observed value) (the smallest observed value)

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    Q7T/PPT- 77

    Step 2

    Determine the class interval & interval breadth.The class interval is calculated by the formula

    Class interval = n where n is total number of observations

    Here, n=

    90Therefore, n = 9.48.

    Rounding to nearest integer,

    ClassI

    nterval=

    9.Interval breadth = =

    = 0.005

    R

    n

    0.043

    9

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    Step 3

    Prepare a frequency table form

    Prepare a form as shown below on which class, mid point,frequency marks, frequency etc can be recorded

    Class Midpoint Frequency marks(tally)

    Frequency

    Total

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    Step 4

    Determine the class boundariesInclude so that they include the smallest & the largest ofvalues.

    1. Determine the lower boundary of the first class & add

    the interval breadth.Therefore, 2.5005 + interval breadth

    2.5005 + 0.005 = 2.5005

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    Therefore first class boundary

    2.005 2.5055

    The second class boundary

    2.5055 2.5105

    Since the class interval is 9, the last class boundary will bethe 9th. Note that this has to contain the largest recordedvalue. Therefore,

    9th class boundary

    2.5405 2.5455

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    Q7T/PPT- 81

    Step 5Calculate the mid point of the class

    Sum of the upper & lower boundaries ofeach class

    2

    Mid point of each class =

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    Step 6

    Obtain the frequenciesRead the observed values one by one & record the frequencies

    Falling in each class using tally marks, in groups of five asfollows:

    Frequency Frequency notation

    1 /

    2 //

    3 ///4 ////

    5 ////

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    Q7T/PPT- 83

    Class Midpoint Frequency marks

    (tally)

    Frequency

    1

    2

    34

    5

    6

    78

    9

    2.5005 2.5055

    2.5055 2.5105

    2.5105 2.51552.5155 2.5205

    2.5205 2.5255

    2.5255 2.5305

    2.5305 2.53552.5355 2.5405

    2.5405 2.5455

    2.503

    2.508

    2.5132.518

    2.523

    2.528

    2.5332.538

    2.543

    /

    ////

    //// //////// //// ////

    //// //// //// //// //

    //// //// //// ////

    //// ////////

    //// /

    1

    4

    914

    22

    19

    105

    6

    Total 90

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    How to draw a histogram

    Step 1Mark the horizontal axis with a scale. The scale need not be on the base ofthe class interval. A unit of measurement of data can be used. In thecurrent example we can take 0.01mm of diameter= 10mm on thehistogram scale. Leave a space equal to the class interval on the

    horizontal axis on each side of the scale.

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    Step 2Mark the left hand vertical axis with a frequency scale.

    Step 3

    Draw the bar chart as per the data in the frequency table.

    Step 4

    Draw a line on the histogram to represent the mean, & also draw a

    line representing the specification limit, if any.

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    Q7T/PPT- 86

    0

    5

    10

    15

    20

    25

    2.50 2.51 2.52 2.53 2.54 2.55

    X= 2.5247

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    The characteristics of the frequency distribution areshown more clearly when results are plotted in form of

    block diagram

    The horizontal axis is divided into segmentscorresponding to ranges of the group

    On each segment a rectangle is constructed whose

    height is proportional to the frequency in the group Higher bar represents more data values

    Lower bar represents less data values

    Overview of Histogram

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    Q7T/PPT- 88

    To analyze processes and discover items to be improved

    To research process capability

    To verify effects of an improvement To tell relative frequency of occurrence.

    To easily see the distribution of the data.

    To see if there is variation in the data. To make future predictions based on the data.

    Application

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    The shape of the distribution gives a more elusive conceptthan mean or standard deviation

    From the distribution we can deduce the peak value offrequency and symmetry of the data range

    (i) Normal distribution

    Normal distribution is commonly used

    type.Here the values are symmetric

    about the center

    Types of distribution

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    (ii) Positively skewed

    Values are more concentrated in one

    side nearer to origin of x line.

    Here most of the values lies in thelower part of the values of histogram

    (iii) Negatively skewed

    Values are more concentrated in oneside far from the origin

    Values lies in the higher part of thevalues of histogram

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    Q7T/PPT- 91

    StratificationStratification

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    Q7T/PPT- 92

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    Stratification is the act of fine tuning the data in order to

    make sure of the significance of the assured factors, to the

    grass root level.

    Stratification

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    Q7T/PPT- 94

    Problem : More No. of Accidents

    Let us stratify the the data regarding the accidents

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    Q7T/PPT- 95

    STATISTICSSTATISTICS

    REPORTABLE ACCIDENTSREPORTABLE ACCIDENTS :: 0808

    NONNON--REPORTABLE ACCIDENTSREPORTABLE ACCIDENTS :: 3333

    NEAR MISS INCIDENTSNEAR MISS INCIDENTS :: 2121

    LOST TIME INJURIESLOST TIME INJURIES :: 4141

    MANDAYS LOSTMANDAYS LOST :: 187187

    Rep.acct.Rep.acct. Operator not reporting back to dutyOperator not reporting back to duty

    for more than 48hrsfor more than 48hrs

    NonNon--reportable acct.reportable acct. Operator disablement extendingOperator disablement extending

    beyond the day of shift but lessbeyond the day of shift but less

    than 48 hrsthan 48 hrs

    Lost time injuryLost time injury Reportable + NonReportable + Non--reportablereportable

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    Q7T/PPT- 96

    ANALYSISANALYSIS REPORTABLE ACCIDENTREPORTABLE ACCIDENT

    Total no of reportable accident :Total no of reportable accident : 88

    7QC Tools

    ACCORDING TO CATEGORYACCORDING TO CATEGORY

    Stratification

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    ACCORDING TO CATEGORYACCORDING TO CATEGORY

    Temp.workman

    (3)

    38%

    Regular

    Employee (4)

    49%

    Contract

    Labour (1)

    13%

    Total no.of Reportable accidents :Total no.of Reportable accidents : 88

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    ACCORDING TO PHENOMENONACCORDING TO PHENOMENON

    Total no.of Reportable accidents :Total no.of Reportable accidents : 88

    0

    0

    0

    0

    0

    0

    0

    2

    6

    0 1 2 3 4 5 6 7

    wrong assembly

    Contact with chemical

    Fall from Two wheeler

    Fall from Height

    others

    Hit by objects/Fallen objects

    Hit against object

    Wrong handling of material handlingequipment

    Adjusting/Cleaning/Loading/Unloadingwhile M/C running

    No of Accidents

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    Total no.of Reportable accidents :Total no.of Reportable accidents : 88

    ACCORDING TO BODY PARTS INJUREDACCORDING TO BODY PARTS INJURED

    Finger (5)

    62%Hand (1)

    13%

    Leg (2)

    25%

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    Plant-1 (0)

    0%

    Plant-2 (3)

    37%

    Plant-3 (2)

    24%

    R & D (1)

    13%

    Sp. Wh (1)

    13%

    Others (1)

    13%

    ACCORDING TO PLANTACCORDING TO PLANT

    Total no.of Reportable accidents :Total no.of Reportable accidents : 88

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    ACCORDING TO SHIFTACCORDING TO SHIFT

    4

    2 2

    0 00

    1

    2

    3

    4

    5

    I II III GEN OT

    No.o

    facc

    iden

    ts

    Total no.of Reportable accidents :Total no.of Reportable accidents : 88

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    ACCORDING TO FAULTACCORDING TO FAULT

    3

    2

    3

    0

    1

    2

    3

    4

    OPERATORS FAULT SUPERVISORY FAULT SYSTEM AND

    ENVIRONMENT FAULT

    No.of

    acc

    iden

    ts

    Total no.of Reportable accidents :Total no.of Reportable accidents : 88

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    The data has been stratified

    1. According to employee category

    2. According to phenomenon

    3. According to body parts injured

    4. According to plant

    5. According to shift

    6. According to fault

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    Stratification over a sufficient number of units

    often gives rise topatterns.

    Location of these patterns often contains much

    information about the causes of defects

    GOAL Generation ofINFORMATION

    through DATA ANALYSIS

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    Scatter diagramScatter diagram

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    In actual practice, it is often essential to study the relation ofTWO corresponding variables.

    For example,

    * Relation between the dimension of a machined part onthe cutting speed of a lathe

    * Relation between insert life and cutting speed

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    To study the relation ofTWO variables we can use a Scatter

    diagram.

    KEY QUESTION How does change in one variable affect

    the outcome of second variable

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    Q7T/PPT- 108

    The two variables we will deal with are:

    a) A quality characteristic & a factor affecting it,

    b) Two related quality characteristics, or

    c) Two factors relating to a single quality characteristic.

    Lets consider the steps in making a scatter diagram

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    Example

    A manufacturer of plastic tanks who made them using theblow moulding process encountered problems with defectivetanks that had thin tank walls. It was suspected that thevariation in air pressure, which varied from day to day, was thecause of the defective thin walls. The table shows data on

    blowing pressure & percent defective. Let us draw a scatterdiagram using this data according to the steps givenpreviously.

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    Step 1

    Collect paired data (x,y) between which you want to studythe relations & arrange the data in a table. It is desirableto have at least 30 pairs of data.

    7QC Tools

    Data of blowing air pressure & percent defectivef l ti t k

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    Q7T/PPT- 111

    Date Air pressure Percent

    (kgf/cm2) Defective

    Oct-01 8.6 0.8892 8.9 0.8843 8.8 0.8744 8.8 0.8915 8.4 0.8746 8.7 0.8867 9.2 0.9118 8.6 0.9129 9.2 0.89510 8.7 0.89611 8.4 0.89412 8.2 0.86413 9.2 0.92214 8.7 0.90915 9.4 0.90516 8.7 0.89217 8.5 0.87718 9.2 0.88519 8.5 0.86620 8.3 0.89621 8.7 0.89622 9.3 0.92823 8.9 0.88624 8.9 0.90825 8.3 0.88126 8.7 0.88227 8.9 0.90428 8.7 0.91229 9.1 0.925

    30 8.7 0.872

    of plastic tank

    7QC Tools

    St 1

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    Step 1

    As seen in the table, we have 30 pairs of data.

    Step 2

    In this example, let blowing air pressure be indicated by X(horizontal axis), & percent defective by Y(vertical axis).

    Then,

    The maximum value ofX:Xmax= 9.4 (kgf/cm2)

    The minimum value ofX:Xmin = 8.2 (kgf/cm2)

    The maximum value ofY: Ymax= 0.928 (%)

    The minimum value ofY: Ymin = 0.864 (%)

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    Q7T/PPT- 113

    We mark off

    the horizontal axis in 0.5(kgf/cm2) intervals, from 8.0 to9.5 (kgf/cm2) and

    the vertical axis in0.01(%) intervals, from 0.85 to 0.93(%)

    Step 3

    Plot the data.

    7QC Tools

    Step 4

    Scatter diagram

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    Q7T/PPT- 114

    Step 4

    Enter the time interval of the sample obtained (oct.1 oct 30) number ofsamples (n = 30), horizontal axis (blowing air pressure [kgf/cm2]), verticalaxis (percent defective [%]), and title of diagram (scatter diagram ofblowing air pressure & percent defective).

    0.85

    0.86

    0.87

    0.88

    0.89

    0.9

    0.91

    0.92

    0.93

    8 8.5 9 9.5

    (Oct 1 Oct 30)

    n=30

    Blowing air pressure

    7QC Tools

    How to read scatter diagrams

    Scatter diagram

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    Q7T/PPT- 115

    0

    5

    10

    15

    2025

    30

    35

    0 5 10 15 20

    Series1

    0

    50

    100

    150

    200250

    300

    350

    0 100 200 300 400

    Series1

    Positive correlation Negative correlation

    How to read scatter diagrams

    You can grasp the correlation between pairs of data just by

    looking at the shape of a scatter diagram. 5 examples aregiven below

    7QC Tools Scatter diagram

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    Q7T/PPT- 116

    0

    10

    20

    30

    40

    0 5 10 15 20

    Series1

    0

    100

    200

    300

    400

    500

    0 100 200 300 400

    Series1

    Positive correlation may be present Negative correlation may be present

    7QC Tools Scatter diagram

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    Q7T/PPT- 117

    0100

    200

    300

    400

    500

    600

    700

    0 100 200 300 400

    Series1

    No correlation

    7QC Tools Scatter diagram

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    If a relation is shown between two variables,

    does itNECESSARILY mean that the two

    variables ARE related?

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