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## Line Plots, Bar Graphs, & Histograms

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**Line Plots, Bar Graphs, & Histograms**• Objective: • 7.4.01Collect, organize, analyze, and display data (including box plots and histograms) to solve problems. • Essential Question: • Day 1: How can I use line plots, bar graphs, and histograms to display and analyze data? • Day 2: What are some similarities and differences between a bar graph and histogram?**Line Plots, Bar Graphs, & Histograms**Vocabulary: • Line Plot:a graph that shows data on a number line with x or other marks to show frequency. • Bar Graph:a graphic form using bars to make comparisons of statistics. • Histogram:a special kind of bar graph in which the bars are used to represent the frequency of numerical data that have been organized in intervals. • Frequency:the number of pieces of data fall within a given interval or category. • Frequency Table:a table for organizing a set of data that shows the number of pieces of data that fall within given intervals or categories.**Line Plots, Bar Graphs, & Histograms**Example 1:Frequency Tables • Create a frequency table for the following data of favorite student colors: • Green – 5, Blue – 8, Red – 4, Orange – 2, Yellow – 3 • Favorite Color • # of Students • Green • 5 • Blue • 8 • Red • 4 • Orange • 2 • Yellow • 3**Line Plots, Bar Graphs, & Histograms**Winning Scores 20 34 23 34 31 35 27 49 30 52 37 20 55 20 42 39 20-28 IIII I 6 Scores Tally Frequency 46 38 38 27 29-37 IIII I 6 Source: superbowl.com 38-46 IIII 5 47-55 III 3 Example 2:Frequency Tables • Create a frequency table for the following Super Bowl data below: Step 1: Choose an appropriate interval and scale for the data. (include least value of 20 and the greatest value of 55) Step 2: Draw the frequency table.**Line Plots, Bar Graphs, & Histograms**Example 3:Line Plots • The table below shows the number of minutes each student in a math class spent studying the night before the last math exam. Make a line plot of the data: Step 1: Choose an appropriate interval for the data. (include least value of 32 and the greatest value of 70) Step 2: Draw the number line. Step 3: Plot each data point.**Line Plots, Bar Graphs, & Histograms**Country Vacation Days per Year Italy 42 France 37 Germany 35 Brazil 34 U. Kingdom 28 Canada 26 Korea 25 Japan 25 United States 13 Source:The World Almanac Example 4:Bar Graphs • The table below shows the average number of vacation days per year for people in various countries. Make a bar graph to display the data: Step 1: Choose an appropriate interval and scale for the data. (include least value of 25 and the greatest value of 42) Step 2: Draw a bar to represent each category. In this case, a bar represents the number of vacation days per year for each country.**Line Plots, Bar Graphs, & Histograms**Country Vacation Days per Year Italy 42 France 37 Germany 35 Brazil 34 U. Kingdom 28 Canada 26 Korea 25 Japan 25 United States 13 Source:The World Almanac Example 4:Bar Graphs Step 1: Choose an appropriate interval and scale for the data. (include least value of 25 and the greatest value of 42)**Line Plots, Bar Graphs, & Histograms**Country Vacation Days per Year Italy 42 France 37 Germany 35 Brazil 34 U. Kingdom 28 Canada 26 Korea 25 Japan 25 United States 13 Source:The World Almanac Example 4:Bar Graphs Step 2: Draw a bar to represent each category. In this case, a bar represents the number of vacation days per year for each country.**Line Plots, Bar Graphs, & Histograms**Example 5:Bar Graphs • The table below shows the average number of miles run each day during training by members of the cross country track team. Make a bar graph to display the data: Step 1: Choose an appropriate interval and scale for the data. (include least value of 5 and the greatest value of 14) Athlete Miles Run Per Day Bob 9 Tamika 12 David 14 Step 2: Draw a bar to represent each category. In this case, a bar represents the number of miles run per day for each athlete. Anne 8 Jonas 5 Hanna 10**Line Plots, Bar Graphs, & Histograms**Example 5:Bar Graphs Step 1: Choose an appropriate interval and scale for the data. (include least value of 5 and the greatest value of 14) Step 2: Draw a bar to represent each category. In this case, a bar represents the number of miles run per day for each athlete. Athlete Miles Run Per Day Bob 9 Tamika 12 David 14 Anne 8 Jonas 5 Hanna 10**Line Plots, Bar Graphs, & Histograms**Example 6:Histograms • The number of wins for the 29 teams of the NBA for the 2000-2001 season have been organized into a frequency table. Make a histogram of the data: Step 1: Draw and label the vertical and horizontal axes and then add a title. # of Wins Frequency 11-20 3 21-30 4 31-40 4 Step 2: Draw a bar to represent the frequency of each interval. 41-50 10 51-60 8**Line Plots, Bar Graphs, & Histograms**Example 6:Histograms Step 1: Draw and label the vertical and horizontal axes and then add a title. Step 2: Draw a bar to represent the frequency of each interval. # of Wins Frequency 11-20 3 21-30 4 31-40 4 41-50 10 51-60 8**Line Plots, Bar Graphs, & Histograms**• Example 7:Histograms • The speeds of cars on a stretch of interstate are clocked by a police officer and have been organized into a frequency table. Make a histogram of the data: Step 1: Draw and label the vertical and horizontal axes and then add a title. Speed in MPH Frequency 50-59 2 60-69 14 70-79 18 Step 2: Draw a bar to represent the frequency of each interval. 80-89 3**Line Plots, Bar Graphs, & Histograms**Example 7:Histograms Step 1: Draw and label the vertical and horizontal axes and then add a title. Step 2: Draw a bar to represent the frequency of each interval. Speed in MPH Frequency 50-59 2 60-69 14 70-79 18 80-89 3**Line Plots, Bar Graphs, & Histograms**• Example 8:Analyzing Data • Refer to and study the two graphs below: QUESTION #1: Which graph would you use to tell how many cars under $30,000 were sold? GRAPH A QUESTION #2: Which graph would you use to compare the prices of a mid-sized car and SUV? GRAPH B**Line Plots, Bar Graphs, & Histograms**• Example 9:Analyzing Data • Refer to and study the two graphs below: QUESTION #1: Which graph would you use to tell how many houses sold for $150,000 or greater in a recent year? GRAPH B**Line Plots, Bar Graphs, & Histograms**• Example 9:Analyzing Data • Refer to and study the two graphs below: QUESTION #2: Which graph would you use to compare the price of a ranch style home to the price of a colonial style home? GRAPH A**Line Plots, Bar Graphs, & Histograms**• Describe the Graph Below: • Refer to and study the graph below: • What are some conclusions that can be made from the graph?**Line Plots, Bar Graphs, & Histograms**• Describe the Graph Below: • Refer to and study the two graphs below: • What are some similarities between the two graphs? • What are some differences between the two graphs? • Are they the same graph?**Line Plots, Bar Graphs, & Histograms**• Data Collection: • On a sheet of Notebook paper record the following: • 1) What is your favorite sport? • 2) What is your favorite day of the week? • 3) What month were you born? • 4) What is your favorite type of music? • 5) What is your favorite college or university? • 6) What is your favorite type of food? • Now on your paper to record the data for the entire class and then create a bar graph or histogram for each set of data.**Line Plots, Bar Graphs, & Histograms**• Core 01: • 1) Favorite Sports • 2) Favorite Day • 3) Birth Month Basketball –13 Friday – 17 Jan – 2 July – 1 Soccer – 4 Saturday – 5 Feb – 2 Aug – 1 Football – 2 Sunday – 1 Mar – 1 Sept – 5 Volleyball – 1 Wednesday – 2 Apr – 3 Oct – 2 May – 4 Nov – 3 Motocross – 1 June – 1 Dec – 0 Base/Softball – 4 • 4) Favorite Music • 6) Favorite Food Hip Hop – 11 American – 4 R & B – 1 Chinese – 8 Pop – 0 Techno – 2 Mexican – 3 Gospel – 2 Japanese – 0 Country – 4 Italian – 5 Rock – 3 All – 5 All – 2**Line Plots, Bar Graphs, & Histograms**• Core 02: • 1) Favorite Sports • 2) Favorite Day • 3) Birth Month Basketball – 8 Friday – 17 Jan – 1 July – 4 Soccer – 3 Saturday – 2 Feb – 2 Aug – 2 Football – 4 Sunday – 1 Mar – 0 Sept – 0 Volleyball – 1 Apr – 2 Oct – 3 Fishing – 2 May – 1 Nov – 4 Hunting – 2 June – 0 Dec – 1 • 5) Favorite School • 4) Favorite Music Duke – 3 • 6) Favorite Food Hip Hop – 10 UNC – 6 American – 3 R & B – 3 NC St. – 1 Chinese – 9 Pop – 0 ECU – 1 Mexican – 7 Gospel – 1 Mt. Olive – 2 Japanese – 0 Country – 3 FSU – 1 Italian – 0 Rock – 1 NC A&T – 2 All – 1 All – 2 None – 4**Line Plots, Bar Graphs, & Histograms**• Core 03: • 1) Favorite Sports • 2) Favorite Day • 3) Birth Month Basketball – 3 Friday – 13 Jan – 0 July – 3 Soccer – 11 Saturday – 8 Feb – 1 Aug – 2 Football – 6 Sunday – 3 Mar – 3 Sept – 3 Volleyball – 4 Wednesday – 1 Apr – 0 Oct – 2 Base/Softball – 1 May – 2 Nov – 3 June – 6 Dec – 0 • 4) Favorite Music • 5) Favorite School Hip Hop – 13 Duke – 3 • 6) Favorite Food R & B – 0 UNC – 13 American – 6 Pop – 1 NC St. – 4 Chinese – 3 Gospel – 1 ECU – 1 Mexican – 5 Country – 3 Christopher Newport – 1 Japanese – 0 Rock – 2 None – 3 Italian – 1 All – 5 All – 10**Line Plots, Bar Graphs, & Histograms**HOMEWORK