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Presented by:
Tooba Rafique (04)
Mehwish Naz (08)
M Wasim Amir (20)
Kamran sajjad (38)
Nalila Rasheed (47)
M. Rizwan (53)
Nazia Aslam (61)
DEFINITIONS OF QUALITY
4
Quality means fitness for use
- quality of design
- quality of conformance
Quality is inversely proportional to
variability.
QUALITY IMPROVEMENT
5
• Quality improvement is the reduction of
variability in processes and products.
Alternatively, quality improvement is also
seen as “waste reduction”.
SPC (Statistical Process Control)
• SPC is a powerful collection of problem solving
tools useful in achieving process stability and
including capability through the reduction of
variability.
Statistical Process Control (SPC)
• SPC is a methodology for charting the process and quickly determining when a process is
"out of control“.
• (E.G., A special cause variation is present because something unusual is occurring in
the process).
• The process is then investigated to determine the root cause of the "out of control"
condition.
• When the root cause of the problem is determined, a strategy is identified to correct it.
Primary Goal of SPC
• Minimize production costs.
• Attain a consistency of products and services that will meet production
specifications and customer expectations.
• Create opportunities for all members of the organization to contribute to quality
improvement.
• Help both management and employees make economically sound decision about
actions affecting the process.
 The John Tukey (1977) introduced a technique known as Stem-and-
Leaf Display.
A stem-and-leaf display can help us to compare data.
Stem and leaf
Stem and leaf
◦A stem and leaf plot is a special table where each
data value is split into a stem the first digit or digits
and a leaf usually the last digit.
Constructing a stem and leaf diagram
• Decide on your stems these are the digits which go down the
left hand side of your diagram.
• Your leaf are the digits go down the right hand side of your
diagram.
 THE HEIGHTS OF 11 FOURTH-GRADE BADMINTON
PLAYERS ARE (IN INCHES):
56
61
61
60
59
57
56
61
61
60
59
57
Constructing a stem and leaf diagram
• First, order your data from least to greatest.
• The ordered numbers are: 56, 57, 58, 58, 59, 59,
60, 61, 61, 61, 63
• Then, put data in a stem-and-leaf plot
THE ORDERED NUMBERS ARE: 56, 57, 58, 58, 59,
59, 60, 61, 61, 61, 63
• Each STEM
stands for the
first digit of
each number.
• Each LEAF
stands for the
second digit
of each
number
HEIGHT IN INCHES
Stem Leaves
5
6
6, 7, 8, 8, 9, 9
0, 1, 1, 1, 3
What’s GOOD about stem and leaf diagrams?
• Well, the major advantage over things like bar charts and histograms, is
that no information is lost the stem and leaf diagram keeps and allows
you to see each original piece of data. It is also quite an effective way of
ordering and displaying relatively small sets of data.
What’s BAD about stem and leaf diagrams?
Well, it’s quite time consuming, and impractical for large data sets.
Imagine how long it would take to sort over 300 pieces of data, and
how complicated the final diagram would look.
HISTOGRAM
• First introduced by Karl Pearson.
• A histogram is the most commonly used graph to show
frequency distributions. It looks very much like a bar chart.
• A diagram consisting of rectangles whose area is proportional
to the frequency of a variable and whose width is equal to the
class interval.
Histogram
• A histogram is used to graphically summarize and display the distribution of a
process data set.
• It can be constructed by segmenting the range of the data into equal-sized bins
(segments, groups, or classes).
• The vertical axis of the histogram is the frequency (the number of counts for each
bin), and the horizontal axis is labeled with the range of the response variable.
• The number of data points in each bin is determined and the histogram
constructed.
The user defines the bin size.
Histogram
• The histogram, graphically shows the process capability.
• It also suggests the shape of the population.
DATA
438 450 487 451 452 441 444 461 432 471
413 450 430 437 465 444 471 453 431 458
444 450 446 444 466 458 471 452 455 445
468 459 450 453 473 454 458 438 447 463
445 466 456 434 471 437 459 445 454 423
472 470 433 454 464 443 449 435 435 451
474 457 455 448 478 465 462 454 425 440
454 441 459 435 446 435 460 428 449 442
455 450 423 432 459 444 445 454 449 441
449 445 455 441 464 457 437 434 452 439
0
5
10
15
20
25
30
35
15 25 35 45 55 65 75 85 95
frequency
class boundry
Histogram
When to use a histogram
• When the data are numerical.
• When we want to see the shape of the data’s distribution, especially when determining whether the output
of a process is distributed approximately normally.
• When analyzing whether a process can meet the customer’s requirements.
• When we need to find central tendency in the data.
• When seeing whether a process change has occurred from one time period to another.
• When you wish to communicate the distribution of data quickly and easily to others.
Benefits
Provides surveillance and feedback for keeping processes in control
Signals when a problem with the process has occurred
Detects assignable causes of variation
Reduces need for inspection
Monitors process quality
Once a process is stable, provides process capability analysis with comparison to
the product tolerance
Histogram
Histogram

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Histogram

  • 1.
  • 2. Presented by: Tooba Rafique (04) Mehwish Naz (08) M Wasim Amir (20) Kamran sajjad (38) Nalila Rasheed (47) M. Rizwan (53) Nazia Aslam (61)
  • 3.
  • 4. DEFINITIONS OF QUALITY 4 Quality means fitness for use - quality of design - quality of conformance Quality is inversely proportional to variability.
  • 5. QUALITY IMPROVEMENT 5 • Quality improvement is the reduction of variability in processes and products. Alternatively, quality improvement is also seen as “waste reduction”.
  • 6. SPC (Statistical Process Control) • SPC is a powerful collection of problem solving tools useful in achieving process stability and including capability through the reduction of variability.
  • 7. Statistical Process Control (SPC) • SPC is a methodology for charting the process and quickly determining when a process is "out of control“. • (E.G., A special cause variation is present because something unusual is occurring in the process). • The process is then investigated to determine the root cause of the "out of control" condition. • When the root cause of the problem is determined, a strategy is identified to correct it.
  • 8. Primary Goal of SPC • Minimize production costs. • Attain a consistency of products and services that will meet production specifications and customer expectations. • Create opportunities for all members of the organization to contribute to quality improvement. • Help both management and employees make economically sound decision about actions affecting the process.
  • 9.  The John Tukey (1977) introduced a technique known as Stem-and- Leaf Display. A stem-and-leaf display can help us to compare data. Stem and leaf
  • 10. Stem and leaf ◦A stem and leaf plot is a special table where each data value is split into a stem the first digit or digits and a leaf usually the last digit.
  • 11. Constructing a stem and leaf diagram • Decide on your stems these are the digits which go down the left hand side of your diagram. • Your leaf are the digits go down the right hand side of your diagram.
  • 12.  THE HEIGHTS OF 11 FOURTH-GRADE BADMINTON PLAYERS ARE (IN INCHES): 56 61 61 60 59 57 56 61 61 60 59 57
  • 13. Constructing a stem and leaf diagram • First, order your data from least to greatest. • The ordered numbers are: 56, 57, 58, 58, 59, 59, 60, 61, 61, 61, 63 • Then, put data in a stem-and-leaf plot
  • 14. THE ORDERED NUMBERS ARE: 56, 57, 58, 58, 59, 59, 60, 61, 61, 61, 63 • Each STEM stands for the first digit of each number. • Each LEAF stands for the second digit of each number HEIGHT IN INCHES Stem Leaves 5 6 6, 7, 8, 8, 9, 9 0, 1, 1, 1, 3
  • 15. What’s GOOD about stem and leaf diagrams? • Well, the major advantage over things like bar charts and histograms, is that no information is lost the stem and leaf diagram keeps and allows you to see each original piece of data. It is also quite an effective way of ordering and displaying relatively small sets of data.
  • 16. What’s BAD about stem and leaf diagrams? Well, it’s quite time consuming, and impractical for large data sets. Imagine how long it would take to sort over 300 pieces of data, and how complicated the final diagram would look.
  • 17. HISTOGRAM • First introduced by Karl Pearson. • A histogram is the most commonly used graph to show frequency distributions. It looks very much like a bar chart. • A diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.
  • 18. Histogram • A histogram is used to graphically summarize and display the distribution of a process data set. • It can be constructed by segmenting the range of the data into equal-sized bins (segments, groups, or classes). • The vertical axis of the histogram is the frequency (the number of counts for each bin), and the horizontal axis is labeled with the range of the response variable. • The number of data points in each bin is determined and the histogram constructed. The user defines the bin size.
  • 19. Histogram • The histogram, graphically shows the process capability. • It also suggests the shape of the population.
  • 20. DATA 438 450 487 451 452 441 444 461 432 471 413 450 430 437 465 444 471 453 431 458 444 450 446 444 466 458 471 452 455 445 468 459 450 453 473 454 458 438 447 463 445 466 456 434 471 437 459 445 454 423 472 470 433 454 464 443 449 435 435 451 474 457 455 448 478 465 462 454 425 440 454 441 459 435 446 435 460 428 449 442 455 450 423 432 459 444 445 454 449 441 449 445 455 441 464 457 437 434 452 439
  • 21. 0 5 10 15 20 25 30 35 15 25 35 45 55 65 75 85 95 frequency class boundry Histogram
  • 22. When to use a histogram • When the data are numerical. • When we want to see the shape of the data’s distribution, especially when determining whether the output of a process is distributed approximately normally. • When analyzing whether a process can meet the customer’s requirements. • When we need to find central tendency in the data. • When seeing whether a process change has occurred from one time period to another. • When you wish to communicate the distribution of data quickly and easily to others.
  • 23. Benefits Provides surveillance and feedback for keeping processes in control Signals when a problem with the process has occurred Detects assignable causes of variation Reduces need for inspection Monitors process quality Once a process is stable, provides process capability analysis with comparison to the product tolerance