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   Kaizen is a system in which every employee is
    encouraged to come up with small
    improvement suggestions in their area of work
    on a regular basis
   This is a continuous exercise
INTRODUCTION:

   Masaaki Imai is known
    as the developer of
    Kaizen
   KAI means 'change' or
    'the action to correct'.
    ZEN means 'good'


                               “LEAN GURU” AND THE
                               FATHER OF CONTINUOUS
                               IMPROVEMENT (CI)
1.   Quality
2.   Effort
3.   Involvement of all employees
4.   Willingness to change
5.   Communication
1.   Seiko- Tidiness/Proper arrangement
2.   Seiton- Orderliness
3.   Seiso- Cleanliness
4.   Seiketsu- Personal cleanliness
5.   Shitsuke- Discipline
   Identification of materials, equipment and
    tools, data and information which are
    necessary or not necessary
   Discarding or giving another destination to
    unnecessary items and providing the necessary
    space for the necessary items which you
    require to perform the necessary task
   It is not only essential to tidy the place but also
    arrange them in the orderly fashion.
   Every equipment or data or anything should be
    placed in its appropriate and unique place.
    It reduces confusion and avoids wastage of
    time.
   Apart from a place being tidy and orderly it
    should be clean.
   The shop floor should be free of wastage , oil
    spills, cotton wastes, etc.
   The tools , machines and the entire
    organization should be free from dirt.
   Organization should also identify and
    eliminate any source of dirt, dust or trash.
   Maintaining good sanitary conditions and
    maintaining good personal hygiene.
   A person should be clean and his cloths should
    be clean.
   Seiketsu also talks about keeping good sanitary
    conditions in common places in an
    organization such as bathrooms, toilets,
    kitchen, etc.
   Self discipline is the best disciplining strategy were
    one doesn’t need an external authority to
    discipline oneself.
   Job discipline is the habit and skill development to
    perform the job according to standards, to observe
    company rules and policies at all times, fulfill
    required, written and other informal specification
    and requirement in the organization.
   This habit of discipline is developed as a result of
    excursing mental, moral and physical strength.
   Acceptance quality level is an inspection standard
    describing the maximum number of defects that could
    be considered acceptable during the random
    sampling of an inspection.
   The defects found during inspection are sometimes
    classified into three levels: critical, major and minor.
    Critical defects are those that render the product
    unsafe or hazardous for the end user.
    Major defects can result in the product's failure,
    reducing its marketability, usability or saleability.
   Minor defects do not affect the product's marketability
    or usability, but represent workmanship defects that
    make the product fall short of defined quality
    standards.
   This is a method of cost reduction and
    productivity improvement.
   The employees are working in the
    organization at different levels.
   While on the job they get number of ideas
    in their mind to do some improvements.
   Every improvement yields some gains
   To garner these gains suggestion scheme is
    implemented.
1.   Scheme Coordinator
2.   Suggestion Scheme Committee
3.   The Suggestion Evaluator
4.   The Suggestor
1.   Appoint suggestion committee and suggestion
     coordinator .
2.   The suggestion committee should create suitable rules
      to suit the company culture. These rules can be later
     amended.
3.   The form is prepared and got printed
4.   Total sincerity and transparency should be displayed
5.    Take the membership of
     (INSSAN INDIAN NATIONAL
     SUGGESTION SCHEMES ASSOCIATION)
   Give a subject for each month Motivate
    employees to think about that subject.
    Provide basic data for utilities
    that company is using.
   Give token gift for each given suggestion.
   Annual awards for different purposes can
    be announced
   Respond to all written suggestions
    immediately in writing.
   High light the suggestions publicly.
   Award to be given immediately for best
    suggestions.
   Establish categories for regular awards.
   Awarding presentation should be big function.
   Kaizen are generally a group activity
   Suggestion Scheme is an individual activity
   Kaizen focuses on pain areas
   Suggestion scheme aims at cost reduction
   Kaizen is small continuous improvement
   Suggestion Scheme can give big benefits
   Kaizen motivates employees and suggestion
    scheme focuses on award for cost reduction
A stem and leaf diagram provides a visual
summary of your data.
This diagram provides a partial sorting of the
data and allows you to detect the distributional
pattern of the data.
   Split the data into two pieces, stem and leaf.
   Arrange the stems from low to high.
   Attach each leaf to the appropriate stem.
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median time taken

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4
  stem
                    5                        leaf
                    6
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7
                    5
                    6
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7
                    5
                    6      1
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7
                    5      3
                    6      1
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3
                    5      3
                    6      1
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6
                    5      3
                    6      1
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6
                    5      3
                    6      1
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6
                    5      3
                    6      1 8
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8
                    5      3
                    6      1 8
                    7
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8
                    5      3
                    6      1 8
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8
                    5      3 7
                    6      1 8
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9
                    5      3 7 4
                    6      1 8 3
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2
                    5      3 7 4
                    6      1 8 3
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2
                    5      3 7 4 8
                    6      1 8 3
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2
                    5      3 7 4 8
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2 5
                    5      3 7 4 8
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median, quartiles and inter-quartile range

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2 5 4
                    5      3 7 4 8
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2 5 4 3
                    5      3 7 4 8
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2 5 4 3
                    5      3 7 4 8 1
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5
                    5      3 7 4 8 1
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5
                    5      3 7 4 8 1
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5 6
                    5      3 7 4 8 1
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5 6 4
                    5      3 7 4 8 1
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5 6 4
                    5      3 7 4 8 1 2
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3
                    5      3 7 4 8 1 2
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
                    5      3 7 4 8 1 2
                    6      1 8 3 5
                    7      2
Question:-    29 students were set a simple task. Their completion times
                 to the nearest second were:
                 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49
                 42 58 65 45 44 43 51 45 38 46 44 52 43 47
             (a) set these data into a stem and leaf diagram
             (b) find the median

Answer (a):-    (1) key: 4|7 means 47
                (2) put values into preliminary diagram:
                    Completion times

                    3      8
                    4      7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
                    5      3 7 4 8 1 2
                    6      1 8 3 5
                    7      2
                (3) re draw diagram with leafs in numerical order:
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3
           4
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6     1
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6     1 3
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6     1 3 5
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times

           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6     1 3 5 8
           7
Answer (a):-   (3) re draw diagram with leafs in numerical order:
          Completion times

           3     8
           4     7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7
           5     3 7 4 8 1 2
           6     1 8 3 5
           7     2

          Completion times
                                     4|7 means 47
           3     8
           4     1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
           5     1 2 3 4 7 8
           6     1 3 5 8
           7     2
Answer (b):-
    Completion times      4|7 means 47

     3      8                                     15th
     4      1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
     5      1 2 3 4 7 8
     6      1 3 5 8
     7      2

  The median is the middle value: There are 29 values

            29 1                i.e. 15th value
              2                            Median = 47
Answer (b):-
                       Range = Highest - Lowest

               Completion times      4|7 means 47
 Lowest
               3       8
               4       1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9
               5       1 2 3 4 7 8
               6       1 3 5 8
Highest
               7       2



                        Range = 72 – 38 = 34
Thank you

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QC Tools By Mahima Prasad

  • 1.
  • 2. Kaizen is a system in which every employee is encouraged to come up with small improvement suggestions in their area of work on a regular basis  This is a continuous exercise
  • 3. INTRODUCTION:  Masaaki Imai is known as the developer of Kaizen  KAI means 'change' or 'the action to correct'.  ZEN means 'good' “LEAN GURU” AND THE FATHER OF CONTINUOUS IMPROVEMENT (CI)
  • 4. 1. Quality 2. Effort 3. Involvement of all employees 4. Willingness to change 5. Communication
  • 5. 1. Seiko- Tidiness/Proper arrangement 2. Seiton- Orderliness 3. Seiso- Cleanliness 4. Seiketsu- Personal cleanliness 5. Shitsuke- Discipline
  • 6. Identification of materials, equipment and tools, data and information which are necessary or not necessary  Discarding or giving another destination to unnecessary items and providing the necessary space for the necessary items which you require to perform the necessary task
  • 7. It is not only essential to tidy the place but also arrange them in the orderly fashion.  Every equipment or data or anything should be placed in its appropriate and unique place.  It reduces confusion and avoids wastage of time.
  • 8. Apart from a place being tidy and orderly it should be clean.  The shop floor should be free of wastage , oil spills, cotton wastes, etc.  The tools , machines and the entire organization should be free from dirt.  Organization should also identify and eliminate any source of dirt, dust or trash.
  • 9. Maintaining good sanitary conditions and maintaining good personal hygiene.  A person should be clean and his cloths should be clean.  Seiketsu also talks about keeping good sanitary conditions in common places in an organization such as bathrooms, toilets, kitchen, etc.
  • 10. Self discipline is the best disciplining strategy were one doesn’t need an external authority to discipline oneself.  Job discipline is the habit and skill development to perform the job according to standards, to observe company rules and policies at all times, fulfill required, written and other informal specification and requirement in the organization.  This habit of discipline is developed as a result of excursing mental, moral and physical strength.
  • 11. Acceptance quality level is an inspection standard describing the maximum number of defects that could be considered acceptable during the random sampling of an inspection.  The defects found during inspection are sometimes classified into three levels: critical, major and minor.  Critical defects are those that render the product unsafe or hazardous for the end user.  Major defects can result in the product's failure, reducing its marketability, usability or saleability.  Minor defects do not affect the product's marketability or usability, but represent workmanship defects that make the product fall short of defined quality standards.
  • 12. This is a method of cost reduction and productivity improvement.  The employees are working in the organization at different levels.  While on the job they get number of ideas in their mind to do some improvements.  Every improvement yields some gains  To garner these gains suggestion scheme is implemented.
  • 13. 1. Scheme Coordinator 2. Suggestion Scheme Committee 3. The Suggestion Evaluator 4. The Suggestor
  • 14. 1. Appoint suggestion committee and suggestion coordinator . 2. The suggestion committee should create suitable rules to suit the company culture. These rules can be later amended. 3. The form is prepared and got printed 4. Total sincerity and transparency should be displayed 5. Take the membership of (INSSAN INDIAN NATIONAL SUGGESTION SCHEMES ASSOCIATION)
  • 15. Give a subject for each month Motivate employees to think about that subject.  Provide basic data for utilities that company is using.  Give token gift for each given suggestion.  Annual awards for different purposes can be announced
  • 16. Respond to all written suggestions immediately in writing.  High light the suggestions publicly.  Award to be given immediately for best suggestions.  Establish categories for regular awards.  Awarding presentation should be big function.
  • 17. Kaizen are generally a group activity  Suggestion Scheme is an individual activity  Kaizen focuses on pain areas  Suggestion scheme aims at cost reduction  Kaizen is small continuous improvement  Suggestion Scheme can give big benefits  Kaizen motivates employees and suggestion scheme focuses on award for cost reduction
  • 18. A stem and leaf diagram provides a visual summary of your data. This diagram provides a partial sorting of the data and allows you to detect the distributional pattern of the data.
  • 19. Split the data into two pieces, stem and leaf.  Arrange the stems from low to high.  Attach each leaf to the appropriate stem.
  • 20. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median time taken Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 stem 5 leaf 6 7
  • 21. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 5 6 7
  • 22. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 5 6 1 7
  • 23. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 5 3 6 1 7
  • 24. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 5 3 6 1 7
  • 25. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 5 3 6 1 7
  • 26. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 5 3 6 1 7
  • 27. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 5 3 6 1 8 7
  • 28. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 5 3 6 1 8 7
  • 29. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 5 3 6 1 8 7 2
  • 30. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 5 3 7 6 1 8 7 2
  • 31. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 5 3 7 4 6 1 8 3 7 2
  • 32. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 3 7 4 6 1 8 3 7 2
  • 33. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 3 7 4 8 6 1 8 3 7 2
  • 34. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 3 7 4 8 6 1 8 3 5 7 2
  • 35. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 5 3 7 4 8 6 1 8 3 5 7 2
  • 36. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median, quartiles and inter-quartile range Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 5 3 7 4 8 6 1 8 3 5 7 2
  • 37. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 3 5 3 7 4 8 6 1 8 3 5 7 2
  • 38. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 3 5 3 7 4 8 1 6 1 8 3 5 7 2
  • 39. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 4 7 3 6 6 8 8 1 9 2 5 4 3 5 5 3 7 4 8 1 6 1 8 3 5 7 2
  • 40. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 5 3 7 4 8 1 6 1 8 3 5 7 2
  • 41. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 5 3 7 4 8 1 6 1 8 3 5 7 2
  • 42. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 5 3 7 4 8 1 6 1 8 3 5 7 2
  • 43. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 5 3 7 4 8 1 2 6 1 8 3 5 7 2
  • 44. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 5 3 7 4 8 1 2 6 1 8 3 5 7 2
  • 45. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2
  • 46. Question:- 29 students were set a simple task. Their completion times to the nearest second were: 47 61 53 43 46 46 68 48 72 57 48 54 41 63 49 42 58 65 45 44 43 51 45 38 46 44 52 43 47 (a) set these data into a stem and leaf diagram (b) find the median Answer (a):- (1) key: 4|7 means 47 (2) put values into preliminary diagram: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 (3) re draw diagram with leafs in numerical order:
  • 47. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 4 5 6 7
  • 48. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 5 6 7
  • 49. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 5 6 7
  • 50. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 5 6 7
  • 51. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 5 6 7
  • 52. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 5 6 7
  • 53. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 5 6 7
  • 54. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 5 6 7
  • 55. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 6 7
  • 56. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 7
  • 57. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 5 6 7
  • 58. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 5 6 7
  • 59. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 5 6 7
  • 60. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 5 6 7
  • 61. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 5 6 7
  • 62. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 5 6 7
  • 63. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 5 6 7
  • 64. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 5 6 7
  • 65. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 6 7
  • 66. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 6 7
  • 67. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 6 7
  • 68. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 6 7
  • 69. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 6 7
  • 70. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 6 7
  • 71. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 7
  • 72. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 7
  • 73. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 7
  • 74. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 7
  • 75. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 7
  • 76. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 7
  • 77. Answer (a):- (3) re draw diagram with leafs in numerical order: Completion times 3 8 4 7 3 6 6 8 8 1 9 2 5 4 3 5 6 4 3 7 5 3 7 4 8 1 2 6 1 8 3 5 7 2 Completion times 4|7 means 47 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 7 2
  • 78. Answer (b):- Completion times 4|7 means 47 3 8 15th 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 7 2 The median is the middle value: There are 29 values 29 1 i.e. 15th value 2 Median = 47
  • 79. Answer (b):- Range = Highest - Lowest Completion times 4|7 means 47 Lowest 3 8 4 1 2 3 3 3 4 4 5 5 6 6 6 7 7 8 8 9 5 1 2 3 4 7 8 6 1 3 5 8 Highest 7 2 Range = 72 – 38 = 34