1. Displaying & Analyzing Data
Stem-and-leaf Plot
Box-and-Whisker Plot
Venn Diagrams

3. Statistics: Stem-and-Leaf Plots
Statistics: The branch of mathematics that deals with collecting, organizing, analyzing or interpreting data.
Data: Numerical facts or information.
Stem-and-Leaf Plots: A convenient method to display every piece of data by showing the digits of each number.

4. Statistics: Stem-and-Leaf Plots
In a stem-and-leaf plot, the greatest common place value of the data is used to form stems.
The numbers in the next greatest place value position are then used to form the leaves.

5. Age of United states Presidents at their First Inauguration: (Through the 40th presidency)
Stem
Leaf 9 8 6 9 7 2 3 4 5 6 7 7 7 8 7 4 1 2 6 4 5 4 1 6 5 1 4 1 5 6 2 1 1 8 4 5 2 1 9 4

6. Statistics: Stem-and-Leaf Plots
Age of United states Presidents at their First Inauguration: (Through the 40th presidency)
Rearrange the leaf in numerical order from least to greatest
Stem
Leaf 4 5 6

7. Statistics: Stem-and-Leaf Plots
It is easy to interpret or analyze information from the Stem-and-Leaf.
How many presidents were 51 years old at their inauguration?
What age is the youngest president to be inaugurated?
What is the age of the oldest president to be inaugurated?
How many presidents were years old at their inauguration? 4 42 69 7
Stem
Leaf: Age of United States Presidents at their First Inauguration
(through the 40th Presidency) 4 5 6

8. Data Displays
A box-and-whisker plot shows how data is distributed by using the median, upper and lower quartiles, and the greatest and least values in the data set.

9. 17, 18, 19, 21, 24,26, 27
The lower quartile (LQ) is the median of the lower half of the data.
The LQ is 18.
The upper quartile (UQ) is the median of the upper half of the data.
The UQ is 26.
___ __ 16 17 18 19 20 21 22 23 24 25 26 27 28

11. Find the median of this segment (LQ)
Make a Box & Whisker Plot
76, 78, 82, 87, 88, 88, 89, 90, 91, 95 88
Find the median of this segment (LQ)
Find the median of this segment.
LQ = 82
UQ = 90

12. Now for the box and whisker
Lower Quartile (LQ)
Middle Quartile
Least Value
Upper Quartile
Greatest Value
76, 78, , , , 88, 89, , , 70 75 65 80 85 90 95
100
105
Now for the box and whisker

13. Lower Quartile (LQ)
Middle Quartile
Least Value
Upper Quartile
Greatest Value
76, 78, , , , 88, 89, , , 65 70 75 80 85 90 95
100
105
What number represents 25% of the data?
LQ 82
What number represents 50% of the data?
Median 88
What number represents 75% of the data?
UQ 90

14. Venn Diagrams Content Standard:
Begin to identify information in a Venn diagram
Click for the next screen.

15. How many students are not in the diagram? Why?
The diagram shows the results of your survey on ice cream preferences for 23 friends.
How many of your friends liked chocolate and/or vanilla ice cream? 22
How many students are not in the diagram? Why? 13 1 8
Click for an answer.

16. How many students are not in the diagram? Why?23
-22 1
One student is not in the diagram. He must not like chocolate or vanilla ice cream. 13 1 8
The End.

17. Stem and Leaf Plot
Stem and leaf plots are used as a quick way of seeing how many pieces of data fall in various ranges. The reader can quickly tell:
- the range
- the mode
Stem and leaf plots have a title, a stem, and leaves
A key is used to explain how to read the stem and leaves.

18. Box - and - Whisker Plot Displays large set of data.
Gives general idea of how data clusters.
Graph includes:
- Title
- Labeled intervals
- Box between lower and upper quartiles
- Whiskers from quartiles to extremes
- Median, quartiles and whiskers labeled

19. Displaying & Analyzing Data
Stem-and-leaf Plot
Box-and-Whisker Plot
Venn Diagrams