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Stem & Leaf Plots

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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?

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Vocabulary: Stem & Leaf Plot: (the digit on the right). 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

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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

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

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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. 41802312 7 9 35146112119 6 15269 0132210 Hours Aboard an Airplane 3 2 1 0 LeafStem 1|3 = 13 hours 5 1 2 3 6 0 1 2 3 4 5 8 9 0 0 4 6 6 7 9 9

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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.

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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.

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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. 6 5 4 3 2 1 0 LeafStem 2|5 = 25 home runs 0 4 4 9 1 1 6 6 6 7 9 4 5 2 5 9 1 0 2 3 4 6 Mean 32.5 Median 38 Mode 46 Range 60

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

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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 Source: The World Almanac 15Zebra10Giraffe20Chimpanzee 16Tiger40Elephant12Cat 10Squirrel12Dog12Camel 3Mouse8Deer20Polar Bear 20Horse15Cow18Black Bear 4Guinea Pig6Chipmunk20Baboon YearsAnimalYearsAnimalYearsAnimal

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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

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HOMEWORK

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Back-to-Back Stem & Leaf Plots

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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?

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Whats 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

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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 (Men)Stem Leaf (Women) 345 7 8 9 3 4 5 6 7 7 3 9 8 7 7 6 6 7 5 4 3 3 2

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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

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Back-to-Back Stem & Leaf Plots Leaf (Girls Data)Stem Leaf (Boys Data) 01234567894 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 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

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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

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HOMEWORK Back-to-Back Stem & Leaf Plots