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

3. 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. 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: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40 th presidency) StemLeaf 456456 9 07 9 1 7771 6 68 8 442 8 41 0 7 45 2 161541 50 3 56 2 2 194

6. 2 3 6 7 8 9 9 0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 0 1 1 1 2 4 4 5 8 9 StemLeaf 456456 Rearrange the leaf in numerical order from least to greatest Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40 th presidency)

7. 2 3 6 7 8 9 9 0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 0 1 1 1 2 4 4 5 8 9 StemLeaf: Age of United States Presidents at their First Inauguration (through the 40 th Presidency) 456456 It is easy to interpret or analyze information from the Stem- and-Leaf. 1.How many presidents were 51 years old at their inauguration? 2.What age is the youngest president to be inaugurated? 3.What is the age of the oldest president to be inaugurated? 4.How many presidents were 40-49 years old at their inauguration? 4 4 42 69 7 7

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. 17181920212223242526282716 _____

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

12. 76, 78, 82, 87, 88, 88, 89, 90, 91, 95 Now for the box and whisker 65 70 75 80 85 90 95 Least Value Lower Quartile (LQ) Middle Quartile Upper Quartile Greatest Value 100 105

13. 76, 78, 82, 87, 88, 88, 89, 90, 91, 95 65 70 75 80 85 90 95 Least Value Lower Quartile (LQ) Middle Quartile Upper Quartile Greatest Value 100 105 What number represents 25% of the data? What number represents 50% of the data? What number represents 75% of the data? LQ 82 Median 88 UQ 90

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

15. The diagram shows the results of your survey on ice cream preferences for 23 friends. 13 81 Click for an answer. How many of your friends liked chocolate and/or vanilla ice cream? How many students are not in the diagram? Why?

16. 13 81 The End. 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.

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