Data Distribution

1
Data Distribution Box and Whisker
2
Data Distribution Box and Whisker

• Construct a box and whisker for the following
  ruler drop data.
• 12.1 16.4 16.5 12.2 17.7 13.4
  27.5 18.3 20.8 21.5 27.1 24.5
• Step 1 Arrange the data in order
• 12.1 12.2 13.4 16.4 16.5 17.7 18.3
  20.8 21.5 24.5 27.1 27.5

3
Data Distribution Box and Whisker

• Step 2 Construct a line and mark the extremes
  (the lowest and highest values).
• Step 3 Determine the median and mark it.
• 12.1 12.2 13.4 16.4 16.5 17.7 18.3
  20.8 21.5 24.5 27.1 27.5
• 17.7 18.3 36
• 36/2 18

4
Data Distribution Box and Whisker

• Step 4 Determine the lower quartile and mark
  it.
• Lower quartile the median of the lower half.
• lower half of data - 12.1 12.2 13.4 16.4
  16.5 17.7
• 13.4
  16.4 29.8
• 
  29.8/2 14.9
• Step 5 Determine the upper quartile and mark
  it.
• Upper quartile the median of the upper half.
• upper half of data - 18.3 20.8 21.5 24.5
  27.1 27.5
• 
  21.5 24.5 46
• 
  46/2 23

5
Data Distribution Box and Whisker

• Step 6 Construct the box using the quartiles as
  the ends.
• The box represents the middle 50 of the data.
• Step 7 Construct the whiskers by connecting the
  quartiles to the extremes with lines.
• The whiskers represent the lowest 25 of the
  data and the highest 25 .

6
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1

7
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already

8
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2

9
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3

10
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3 33

11
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3 - 33
• Step 4 When the data set has an odd of
  values _________________ the median when
  calculating the quartiles.
• Lower half of data set - 23 27
  29 30 31 33

12
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3 - 33
• Step 4 When the data set has an odd of
  values exclude the median when
  calculating the quartiles.
• Lower half of data set - 23 27
  29 30 31 33

13
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3 - 33
• Step 4 When the data set has an odd of
  values exclude the median when
  calculating the quartiles.
• Lower half of data set - 23 27
  29 30 31 33

14
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3 - 33
• Step 4 When the data set has an odd of
  values exclude the median when
  calculating the quartiles.
• Lower half of data set - 23 27
  29 30 31 33
• Step 5 - Upper half of data set - 33
  38 40 42 43 51

15
Data Distribution Box and Whisker

• HOW DOES AN ODD OF VALUES IN THE SET AFFECT THE
  PROCEDURE?
• Create a box and whisker for the following data
  on the of clients to visit an office per day.
• 23 27 29 30 31 33 38 40
  42 43 51
• Step 1 Done already
• Step 2
• Step 3 - 33
• Step 4 When the data set has an odd of
  values exclude the median when
  calculating the quartiles.
• Lower half of data set - 23 27
  29 30 31 33
• Step 5 - Upper half of data set - 33
  38 40 42 43 51
• Step 6/7 -

16
Data Distribution Box and Whisker
Upper extreme
Lowest 25 of data
Highest 25 of data
Lower extreme
Middle 50 of data