2-3 Line Plots DAP 1- Read, create, & interpret graphs when appropriate DAP 3- Analyze a set of data by using & comparing combinations of measures of central tendancy Pages 64-67 One type of graph is a line plot. They are usually used when there is one group of data, and fewer than 50 values. Benefits of Using Line Plots: • Line Plots can be used to show how data is spread out. • A line plot provides an easy way to organize data. • A line plot shows the frequency of data on a number line . Parts of a Line Plot • A horizontal number line • An “X” is placed above a number on the # line each time that the value occurs • The number of “X's” above each value indicates how many times (the frequency) each value occurred Make a Line Plot Suppose thirty people live in an apartment building. They are the following ages: Ages of People Living in the apartment building Step 1: place the values in order from least to greatest 30, 34, 34, 35, 35, 35, 36, 37, 38, 39, 40, 40, 40, 46, 46, 47, 47, 47, 47, 47, 47, 48, 48, 48, 49, 49, 50, 54, 54, 58 Step 2: create your graph 58 30 37 36 34 49 35 40 47 47 39 54 47 48 54 50 35 40 38 47 48 34 40 46 49 47 35 48 47 46 This graph shows all the ages of the people who live in the apartment building. How old is the youngest person in the apartment building? 30 How old is the oldest person? 58 What is the most common age of the residents in the building? 47 Line plots allow several features of the data to become more obvious. For example, outliers, clusters, and gaps are apparent. Outliers are data points whose values are significantly larger or smaller than other values, such as the ages of 30, and 58. Clusters are isolated groups of points, such as the ages of 46 through 50. Gaps are large spaces between points, such as 41 and 45. The range of the data is the difference between the greatest and least numbers in the data set, such as 58-30= 28. You Try… Age at Inauguration The table at the right shows the ages of the U.S. Presidents at the time of their inaugurations. 57 51 54 56 61 61 49 49 55 52 57 64 Make a line plot of the data. 50 51 69 57 50 47 What is the youngest entry on the data table? 54 64 58 48 55 51 What is the eldest entry on the data table? 61 52 54 62 68 54 Let’s start at 40 and finish at 75. 56 40 45 50 55 46 57 65 55 60 54 56 42 43 46 60 65 Identify any clusters, gaps and outliers that exist. What is the range of the given data? 70 51 55 75