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Statistic and probability
Content In Presentation
 Scatter Plot
 Stem and Leaf
 Box-plot
 Histogram
 Now We discuss them in details.
Scatter plot
 a graph in which the values of two variables are plotted along two axes, the
pattern of the resulting points revealing any correlation present.
 It contain Series of dots.
Example
 Relationship between temperature and Jacket sale
 CC
 Correlation

When to use Scatter plot
 This is used to find the correlation.
 We have positive correlation, negative correlation and no correlation.
 When we have pair numeric data.
 Identity the type of relationship between two quantities.
Tool to create Scatter Plot
 Excel
 Scatter Plot in minitab
 T189 Scatter Plot
 T183 Scatter plot
 SPSS Scatter plot
Stem and leaf plot
 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). Like in this
example:
 Stem "1" Leaf "5" means 15
 Stem "1" Leaf "6" means 16
 Stem "2" Leaf "1" means 21
When To use Stem and leaf plot
 The "stem" is used to group the scores and each "leaf" shows the individual scores within each
group.
 Long Jump Example
Sam got his friends to do a long jump and got these results:
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0
Stem Leaf
2 3 5 5 7 8
3 2 6 6
4 5
5 0
Tools to find the stem and leaf plot
 Stem and leaf plot in excel
 Minitab
 Matlab
Box and Wisker plot or Box plot
 The box plot ( box and whisker diagram) is a standardized way of displaying
the distribution of data based on the five number summary: minimum, first
quartile, median, third quartile, and maximum.
For Example
 Find Q1, Q2, Q3 from given below set and identify outlier and draw box-plot
 Data Set: 5,40,42,46,48,49,50,50,52,53,55,56,58,75,102
 Q2=50
 Q1=46
 Q3=56
 IQR=Q3-Q1 that is 10
 No we need to find the values less than Q1-(1.5*IQR)or greater than
 Q3+(1.5*IQR)
Example Continue…
 Q1-(1.5*IQR), 46-15=31
 Q1-(1.5*IQR), 56-15=71
 Now 5 is less than 31 and 75 and 102 are greater than 71 so we have 3 outlier
in this case.
 Diagram of Box-Plot
When to use Box Plot
 This helps to find the outlier in our data sets.
 Outlier
If the data value is very far away form the quartiles ( Either much less than Q1
and much greater than Q3 ) is referred to outlier.
Tools used for Box Plot
 Excel
 Matlab
Histogram
 A graphically display of data using bars of different heights.
 It consist of title, Horizontal or X axis, bars, Vertical or Y axis.
When to use Histogram
 Summarize large data sets graphically
 Compare measurements to specifications
 Communicate information to the team
 Assist in decision making
Tools for Histogram
 Excel
 Minitab
 Matlab

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Statistic and probability 2

  • 2. Content In Presentation  Scatter Plot  Stem and Leaf  Box-plot  Histogram
  • 3.  Now We discuss them in details.
  • 4. Scatter plot  a graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.  It contain Series of dots.
  • 5. Example  Relationship between temperature and Jacket sale  CC  Correlation 
  • 6. When to use Scatter plot  This is used to find the correlation.  We have positive correlation, negative correlation and no correlation.  When we have pair numeric data.  Identity the type of relationship between two quantities.
  • 7. Tool to create Scatter Plot  Excel  Scatter Plot in minitab  T189 Scatter Plot  T183 Scatter plot  SPSS Scatter plot
  • 8. Stem and leaf plot  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). Like in this example:  Stem "1" Leaf "5" means 15  Stem "1" Leaf "6" means 16  Stem "2" Leaf "1" means 21
  • 9. When To use Stem and leaf plot  The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.  Long Jump Example Sam got his friends to do a long jump and got these results: 2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0 Stem Leaf 2 3 5 5 7 8 3 2 6 6 4 5 5 0
  • 10. Tools to find the stem and leaf plot  Stem and leaf plot in excel  Minitab  Matlab
  • 11. Box and Wisker plot or Box plot  The box plot ( box and whisker diagram) is a standardized way of displaying the distribution of data based on the five number summary: minimum, first quartile, median, third quartile, and maximum.
  • 12. For Example  Find Q1, Q2, Q3 from given below set and identify outlier and draw box-plot  Data Set: 5,40,42,46,48,49,50,50,52,53,55,56,58,75,102  Q2=50  Q1=46  Q3=56  IQR=Q3-Q1 that is 10  No we need to find the values less than Q1-(1.5*IQR)or greater than  Q3+(1.5*IQR)
  • 13. Example Continue…  Q1-(1.5*IQR), 46-15=31  Q1-(1.5*IQR), 56-15=71  Now 5 is less than 31 and 75 and 102 are greater than 71 so we have 3 outlier in this case.  Diagram of Box-Plot
  • 14. When to use Box Plot  This helps to find the outlier in our data sets.  Outlier If the data value is very far away form the quartiles ( Either much less than Q1 and much greater than Q3 ) is referred to outlier.
  • 15. Tools used for Box Plot  Excel  Matlab
  • 16. Histogram  A graphically display of data using bars of different heights.  It consist of title, Horizontal or X axis, bars, Vertical or Y axis.
  • 17. When to use Histogram  Summarize large data sets graphically  Compare measurements to specifications  Communicate information to the team  Assist in decision making
  • 18. Tools for Histogram  Excel  Minitab  Matlab