By Ms. Isaac

 Standards Standards  Collect and Organize Data Collect and Organize Data  Example Example  Activity Activity  Frequency Table and Line Plots Frequency Table and Line Plots  Draw Conclusions Draw Conclusions  Analyze Graphs Analyze Graphs  Types of Graphs  Pictograph  Line Graphs Line Graphs  Bar Graphs Bar Graphs  Circle Graphs Circle Graphs  Choose the Appropriate Graph Choose the Appropriate Graph  Practice Homework Practice Homework  Student Examples of Graphs  Glossary Glossary

 M5D1a. Analyze data presented in a graph  M5D1b. Compare and contrast multiple graphic representations (circle graphs, line graphs, bar graphs, etc.) for a single set of data and discuss the advantages/disadvantages or each.  M5D2. Students will collect, organize, and display data using the most appropriate graph. Back to the Table of Contents

 A survey can be used to gather information about a group. Often, a part of the group, called a sample, is chosen to represent the whole group, or population.survey samplepopulation  A sample must represent the population fairly. In a random sample, each person in the population has an equal chance of being chosen.random sample What’s the question? Back to the Table of Contents

 Suppose a television network wants to find the time of day that most children ages 9-12 watch TV. Which sample represents the population? Choice A. leaves out boys. Choice C. could include children who are younger than 9 or older than 12, and choice D. does not include children. Only choice B. represents the population. Back to the Table of Contents  A.a random sample of 100 girls, ages 9-12  B.a random sample of 100 children, ages 9-12  C.a random sample of 100 children  D.a random sample of 100 adults

 Design your own survey and collect data.  Select one of the topic listed below.  A. Hours spent studying each week  B. Favorite type of movie  C. Favorite breakfast food  Decide what population you want to survey. Do you want to include all students at your school, or just fifth graders?  Write a question for your survey.  The question should be clear and simple, use words that have the same meaning to everyone, and have only one response, or answer, per person.  Survey a random sample of at least 30 students.  Make a recording sheet for your data. Back to the Table of Contents

 A frequency table shows the total for each category or group. Mountain View Elementary had a pet fair. The student council surveyed students by asking, “How many pets do you have at home?” Back to the Table of Contents

B.Read from the cumulative frequency column to find how many student have 3 or fewer pets at home. Twenty-seven students have 3 or fewer pets at home. C.Read the last entry in the cumulative frequency column to find how many students were surveyed. Thirty students were surveyed. A.Read from the frequency column to find how many students have just 3 pets at home. Five students have 3 pets at home.  The cumulative frequency column is a running total of the frequencies.

The line plot gives a visual picture of the data. You can quickly see that the most common number of pets is 2. Some students have no pets, and one student has 7 pets. So, the difference between the greatest and least values for this set of data is 7 – 0, or 7.  Organize your data from the Activity in a frequency table. Draw a line plot or other graph to display the data. Back to the Table of Contents  You can graph these data by using a line plot.

 Sometimes you will need to analyze data to draw conclusions.  The table and the bar graph below display data about an experiment involving five plants all of the same type.  You can use data to draw conclusions. Back to the Table of Contents

Types of Graphs LineBarCircle

 A Pictograph displays countable data with symbols or pictures. Pictographs have a key to show how many each picture represents.Pictograph Look at the Aerobics Class Size pictograph. How many people are in the 3:00 and 4:00 aerobic classes altogether? There are 8 whole symbols and 1 half symbol in the 3:00 and 4:00 classes combined. (8 x 2) + 1 = 17 So, there are 17 people altogether. Back to the Analyze Graphs

 A Line Graph shows how data changes over a period of time. All or part of the graph may show a trend, or a pattern over time, such as increasing, decreasing, or staying the same.Line Graph trend Look at the line graph. The distance increases by 6 miles each hour. Predict how long it will take to travel 30 miles by bike if the trend continues. You can extend the line to see that it will probably take 5 hours to travel 30 miles if the trend continues. Back to the Analyze Graphs

 A Bar Graph uses horizontal or vertical bars to display countable data. Bar graphs allow you to compare facts about groups of data.Bar Graph Look at the exercise bar graph. Which type of exercise is more popular, jogging or weights? The jogging bar is taller, so that exercise is more popular. How may more students chose jogging over weights? There were 14 students who chose jogging and 10 who chose weights. 14 – 10 = 4 So, 4 more students chose jogging. Back to Analyze Graphs

 A Circle Graph shows how parts of data relate to each other and to the whole.Circle Graph Look at the circle graph of Karen’s workout. On which activity does Karen spend the most time? How long does she spend on this activity? Jogging fills half of the circle. So, Karen spends the most time jogging. Half of 60 minutes is 30 minutes. So, Karen jogs for 30 minutes. Back to Table of Contents

 To choose the best graph for a set of data, determine what type of data they are and how to analyze them. Using the correct graph makes it easier to interpret data and solve problems. What is the best choice?

Use a line graph or a double-line graph to show how data change over time. Use a bar graph or a double-bar graph to compare data by category. Use a line plot to keep count of data as they are collected or to show frequencies of repeated amounts. Use a circle graph to compare parts of a group to the whole group. Back to the Table of Contents

 Bar graph – a graph that displays countable data with vertical or horizontal bars; compares facts about groups of data Bar graph  Circle graph – a graph that shows how parts of the data are related to the whole and to each other Circle graph  Cumulative frequency – A running total of data. Cumulative frequency  Line graph – a graph that shows how data change over time Line graph  Population – the entire group being surveyed Population  Random sample – a sample for which every person in the population has an equal chance of being chose Random sample  Sample – a part of the group that is chosen to represent the whole group, or population Sample  Survey – a set of questions that is used to gather information about a group or to find the preference of a group Survey  Trend – a pattern over time, such as increasing, decreasing, or staying the same, that is shown by data in part or all of the graph Trend Back to the Table of Contents Click each word to take you back to the slide that contains an example.