Stem Leaf Plots Stem Leaf Plots Objective 7

Stem & Leaf Plots

Stem & Leaf Plots Objective: 7. 4. 02 Calculate, 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?

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.

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

Stem & Leaf Plots 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, 77, 80, 80, 81, 82, 84, 85, 88, 89, 89, and 92 Stem Leaf 7 6 6 6 7 8 0 0 0 1 1 2 4 5 8 9 9 9 2 10 7|0 = 70 %

Stem & Leaf Plots 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. Stem Leaf 0 0 0 4 6 6 7 9 9 Hours Aboard an Airplane 4 35 15 18 14 26 0 6 9 23 11 0 12 21 13 7 19 22 9 6 10 1 2 3 4 5 8 9 2 1 2 3 6 3 5 1|3 = 13 hours

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.

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.

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. Stem Leaf Mean 32. 5 Median 38 0 0 2 3 4 6 1 1 2 2 5 9 Mode 46 Range 60 3 4 5 4 1 1 6 6 6 7 9 5 4 4 9 6 0 2|5 = 25 home runs

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

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: 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

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:

Stem & Leaf Plots HOMEWORK

Back-to-Back Stem & Leaf Plots

Back-to-Back Stem & Leaf Plots Objective: 7. 4. 02 Calculate, 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?

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

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 WOMEN 57, 53, 55, 54, 48, 47, 49, 53, 52, 46, 47, and 46 Leaf (Women) Stem 987766 754332 3 4 5 Leaf (Men) 789 345677 3

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. BOYS SCORES 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

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

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. BOYS SCORES 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

Back-to-Back Stem & Leaf Plots HOMEWORK