1. Stem and Leaf Plots

2. Definitions- Range Range- The difference between the greatest and least numbers in a data set Data set: 23, 45, 60, 55, 80, 75, 15 Largest number: 80 Smallest number: 15 Difference: 80-15= 65

3. More on Range Range is not a measure of central tendency. It is a measure of variation…..it describes the spread of the data.

4. Stem and Leaf Plots What is a stem and leaf plot? It is a way to represent specific data. It organizes data so it can be analyzed visually and mathematically When is it appropriate to use a stem and leaf plot? When data can be grouped into intervals (stems) and the data values within the intervals can be plotted as the leaves.

5. Stem and Leaf Plots Parts of stem and leaf plots Stem Leaf

6. Stem and Leaf Plots In a Stem and Leaf Plot, the data are organized from least to greatest. The digits of the greatest place value usually form the Stems, the next place value of digits form the leaves.

7. Stem and Leaf Plots How do we create them? We start with a data set All data should be in order from least to greatest. Each stem and each leaf must be represented. Always list the digit even if it is repeated

8. Data set Use the following data set to create a stem and leaf plot 196710 11131825 21125 20211112 Chick Weight (grams)

9. Stem and Leaf Plots Step 1: Create the graph

10. Stem and Leaf Plots Step 2: Choose the stems using digits in the tens place 196710 11131825 21125 20211112 What are the stems? (digits in the tens place) 0, 1, 2 The least value is 5, it has a 0 in the tens place The greatest value is 25, it has a 2 in the tens place

11. Stem and Leaf Plots Step 3: List the stems in order from least to greatest. Stems: 0, 1, 2 012012

12. Stem and Leaf Plots Step 4: Order the leaves – least to greatest 196710 11131825 21125 20211112 0 1 2 5 6 7 0 1 1 2 2 2 3 8 9 0 1 1 5 Always write each leaf even if the data repeats The tens digits form the stems The ones digit Forms the leaves Always add a Key: 1|2 = 12 g

13. Completing Graph What do we always do before completing a graph?????????????

14. Making Inferences When you analyze data, you can make inferences. That means, we can draw conclusions based on the data.

15. Making Inferences Find the mode ______ Find the range ______ Find the median _____ StemLeaf The stem and leaf plot shows the number of miles Jessie biked each day during the month of July. 01230123 5 5 6 0 0 0 0 1 2 2 5 8 8 9 1 2 5 8 0 Miles Jessie biked 2|1 = 21 miles

16. Analyzing Data StemLeaf 01230123 5 5 6 1 2 5 8 0 0 0 0 0 1 2 2 5 8 8 9 Miles Jessie biked 2|1 = 21 miles What was the least number of miles Jessie biked in July? _______ What was the largest number of miles Jessie biked in July? _______ How many days did Jessie bike only 10 miles? ____

17. Making a stem and leaf plot Use the data in the following table to create your own stem and leaf plot. 70967291 80 7993 76957393 90937791 Quiz scores in Coach Bowen’s Class Make your own graph

18. Does it look like this? StemLeaf 789789 0 2 3 6 7 9 0 0 1 1 3 3 3 5 6 Quiz scores in Coach Bowen’s Class 9|1= 91 on quiz

19. Answer the questions about your graph What is the highest score on quiz? ____ What was the lowest score on quiz?____ What is the mode? ____ What is the median ____ What is the range of the quiz scores? ___

20. Question Can we use stem and leaf plots to represent all data?

21. Conclusion: Stem and Leaf Plots Are easy to read Are easy to create Great graph to display data Can not be used for all data sets