Stem & Leaf Plots

1. Stem & Leaf Plots

2. Stem & Leaf Plots • Objective: • 7.4.02Calculate, use, and interpret the mean, median, mode, range, frequency distribution, and interquartile range for a set of data. • Essential Question: • How can I use stem and leaf plots to organize and display data?

3. Stem & Leaf Plots Vocabulary: • Stem & Leaf Plot:a graph that uses the digits of each number to show the shape of the data; each data value is broken down into a “stem” (the digit on the left) and a “leaf” (the digit on the right). • Stem:the greatest place value common to all the data values is used for the stem of a stem and leaf plot. • Leaf:the second greatest place value of data in a stem and leaf plot.

4. Stem & Leaf Plots Why Stem and Leaf Plots: - We can use stem and leaf plots to organize large sets of data into one condensed, organized graph - Later we will use back to back stem and leaf plots to compare multiple sets of data - Stem and leaf plots provide a visual representation for data

5. Stem & Leaf Plots Stem Leaf 7 8 9 7|0 = 70 % 10 Example 1:Stem & Leaf Plots • Use a stem and leaf plot to graph the following test scores from a recent math test in Mr. Blue’s class: • 76, 76, 76, 77, 80, 80, 80, 81, 81, 82, 84, 85, 88, 89, 89, 89, 89, and 92 6 6 6 7 0 0 0 1 1 2 4 5 8 9 9 9 9 2

6. Stem & Leaf Plots Stem Leaf 0 Hours Aboard an Airplane 1 4 18 0 23 12 7 9 35 14 6 11 21 19 6 15 26 9 0 13 22 10 2 3 1|3 = 13 hours Example 2:Stem & Leaf Plots • The table below shows the number of hours spent onboard an airplane for a survey of businessmen and women. Make stem and leaf plot of the data. 0 0 4 6 6 7 9 9 0 1 2 3 4 5 8 9 1 2 3 6 5

7. Stem & Leaf Plots Example 3:Stem & Leaf Plots • The set of data listed below shows the number of home runs Babe Ruth hit during his career from 1914 to 1935. Make a stem and leaf plot to find the mean, median, mode, and range of the data: • Home Run Data: 0, 54, 25, 46, 4, 59, 47, 41, 3, 35, 60, 34, 2, 41, 54, 6, 11, 22, 46, 29, 46, and 49.

8. Stem & Leaf Plots Example 3:Stem & Leaf Plots • Home Run Data: 0, 54, 25, 46, 4, 59, 47, 41, 3, 35, 60, 34, 2, 41, 54, 6, 11, 22, 46, 29, 46, and 49.

9. Stem & Leaf Plots Stem Leaf 0 1 2 3 4 5 2|5 = 25 home runs 6 Example 3:Stem & Leaf Plots • Home Run Data: 0, 54, 25, 46, 4, 59, 47, 41, 3, 35, 60, 34, 2, 41, 54, 6, 11, 22, 46, 29, 46, and 49. 0 2 3 4 6 Mean Median 1 32.5 38 2 5 9 4 5 Mode Range 1 1 6 6 6 7 9 46 60 4 4 9 0

10. Stem & Leaf Plots • Example 4: Stem & Leaf Plots Organize the following set of data into a stem and leaf plot: Stem Leaf

11. Stem & Leaf Plots Animal Years Animal Years Animal Years Baboon 20 Chipmunk 6 Guinea Pig 4 Black Bear 18 Cow 15 Horse 20 Polar Bear 20 Deer 8 Mouse 3 Camel 12 Dog 12 Squirrel 10 Cat 12 Elephant 40 Tiger 16 Chimpanzee 20 Giraffe 10 Zebra 15 Source: The World Almanac Real World Example: The table shows the average life-span of several mammals. Make a stem and leaf plot to describe the spread and then calculate the measures of central tendency:

12. Stem & Leaf Plots Real World Example: The table shows the average life-span of several mammals. Make a stem and leaf plot to describe the spread and then calculate the measures of central tendency:

13. Stem & Leaf Plots HOMEWORK

14. Back-to-Back Stem & Leaf Plots

15. Back-to-Back Stem & Leaf Plots • Objective: • 7.4.02Calculate, use, and interpret the mean, median, mode, range, frequency distribution, and interquartile range for a set of data. • Essential Question: • What are some similarities and difference between a stem and leaf and a double stem and leaf plot?

16. Back-to-Back Stem & Leaf Plots What’s So Great About Them: - Yesterday we used different data to create some stem and leaf plots, which we used to analyze and discuss data trends - Today we are going to use a different type of stem and leaf plot to analyze data… ITS CALLED A BACK-TO-BACK STEM AND LEAF PLOT - We can use these to compare multiple data sources

17. Back-to-Back Stem & Leaf Plots Example 1:Back-to-Back Stem & Leaf Plots • A set of U.S. Olympic Team Track times are listed below. Create a back-to-back stem and leaf plot to compare the men and women's times. • MEN • 47, 43, 45, 44, 38, 37, 39, 53, 52, 46, 47, and 36 Leaf (Women) Stem Leaf (Men) • 9 8 7 7 6 6 • 7 5 4 3 3 2 • 3 • 4 • 5 • 7 8 9 • 3 4 5 6 7 7 • 3 • WOMEN • 57, 53, 55, 54, 48, 47, 49, 53, 52, 46, 47, and 46

18. Back-to-Back Stem & Leaf Plots Example 2:Back-to-Back Stem & Leaf Plots • All the test scores from the recent Percents Unit are listed below. They have broken down by boy and girl scores. Create a Back-to-Back Stem and Leaf Plot to analyze and compare each data set. • BOYSSCORES • 99, 36, 16, 23, 69, 58, 59, 21, 53, 19, 21, 82, 30, 85, 70, 81, 66, 42, 53, 52, 22, 56, 43, 57, 88, 80, 53, 86, 64, 84, 68, 79, 57, and 82 • GIRLS SCORES • 73, 37, 61, 53, 37, 38, 24, 30, 75, 93, 65, 85, 60, 92, 80, 56, 80, 65, 77, 64, 95, 99, 82, 75, 94, 98, 63, 58, 69, 56, 95, 77, and 45

19. Back-to-Back Stem & Leaf Plots Leaf (Boys Data) Stem Leaf (Girls Data) • 9 6 • 3 2 1 1 • 6 0 • 3 2 • 9 8 7 7 6 3 3 3 2 • 9 8 6 4 • 9 0 • 8 6 5 4 2 2 1 0 • 9 • 0 • 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 4 • 0 7 7 8 • 5 • 3 6 6 8 • 0 1 3 4 5 5 9 • 3 5 5 7 7 • 0 0 2 5 • 2 3 4 5 5 8 9

20. Back-to-Back Stem & Leaf Plots Example 2:Back-to-Back Stem & Leaf Plots • WHAT DOES THIS BACK TO BACK STEM AND LEAF PLOT TELL US? WHAT CONCLUSIONS CAN WE MAKE ABOUT THIS DATA. • BOYSSCORES • 99, 36, 16, 23, 69, 58, 59, 21, 53, 19, 21, 82, 30, 85, 70, 81, 66, 42, 53, 52, 22, 56, 43, 57, 88, 80, 53, 86, 64, 84, 68, 79, 57, and 82 • GIRLS SCORES • 73, 37, 61, 53, 37, 38, 24, 30, 75, 93, 65, 85, 60, 92, 80, 56, 80, 65, 77, 64, 95, 99, 82, 75, 94, 98, 63, 58, 69, 56, 95, 77, and 45 1) The boys data is more spread out – less consistent 2) The girls data is more condensed – more consistent 3) It looks like the girls were better prepared

21. Back-to-Back Stem & Leaf Plots HOMEWORK