III. Data Analysis and Statistics

1. Collection, Orgnization, and Presentation of Data
2. Description and Interpretation
3. Inference and Prediction

Additional Links to General Mathematics Sites

• Mathematics Games and Student Activities
• Mathematics Lessons Plans
• Interactive Learning and Problem Solving Activities
• Word Searches and Puzzles in Mathematics
• Miscellaneous Sites

Middle School

1. Benchmark 1. "Collect and explore data through observation, measurement, surveys, sampling techniques and simulations."
   1. A Functional Housing Market - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
   2. Adventures in Statistics - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
   3. Are You My Type - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
      The students do a survey on favorite music and least favorite music of peers and adults.  They are to graph this information in a chart and present this information to the class.  Doing this activity in groups would be recommended and it will take 2-3 periods.
   4. Assorted Sports (by area) - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
      Students look up the field dimension and record the data, compute the area of each field, create a scatter plot, measure the dimensions at the field your school uses for sports and compute the area. Compare your school's dimensions to regulation.
   5. Fun and Sun: Rent a Car - Collection, Organization, and Presentation of Data  (III.1.MS.1,2,3&4) 
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
   6. Houston Area Real-Time Traffic Report - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
   7. Math Files - Data Picking - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
      This is an interactive game where students need to survey a group of students (on the computer) and then enter their results in a frequency table or chart. Then, after the computer graphs these results, the student is asked to examine the graphs and decide which graph best represents the data. Circle graphs and scattergrams are included.
   8. NSC-Discovery - Collection, Organization, and Presentation of Data (III.1.MS.1,2&3)
      This lesson uses a real world situation to explore data collection and analysis. Students are asked to consider whether height restrictions in the military affect the numbers of men and women who are allowed to enlist. Students gather data about the class, create a graph to display data, and analyze the data to answer questions.
   9. Road Trip Web Quest - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      In this interactive webquest, students will select a destination based on several criteria.  Using the Internet students will determine cost of meals, travel, lodging and entrance into destinations.  Students must select a vacation destination that will fit with their financial and time constraints.  Students will present their information and their travel agenda.
   10. Snowfall Statistics for Snowboarding - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
   11. Subtracting the Ads - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
       This activity explores the amount of time spent watching commercials in a half-hour program.  They keep a tally of all the commercials that appear and make a class frequency chart, comparing the number of commercials in different types of television programs.
   12. Surfing Amusement Parks - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
   13. What Percentage of Your Class is Right or Left Handed? - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students will write letters down for 20 seconds with their right hand and then do the same for their left. Record the results in a graph form. This is a student activity.
   14. World Shopping Spree - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.
2. Benchmark 2. "Organize data using tables, charts, graphs, spreadsheets and data bases."  
   1. A Functional Housing Market - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
   2. Adventures in Statistics - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
   3. Are You My Type - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
      The students do a survey on favorite music and least favorite music of peers and adults.  They are to graph this information in a chart and present this information to the class.  Doing this activity in groups would be recommended and it will take 2-3 periods.
   4. Assorted Sports (by area) - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
      Students look up the field dimension and record the data, compute the area of each field, create a scatter plot, measure the dimensions at the field your school uses for sports and compute the area. Compare your school's dimensions to regulation.
   5. Between Fahrenheit and Celsius - Collection, Organization, and Presentation of Data (III.1.MS.2)
      This activity is part of Project SkyMath: Module Section 2, Activity 7. In this activity students will graph number pairs on a coordinate system.
   6. Exploring Histograms - Collection, Organization, and Presentation of Data  (III.1.MS.2)
      This site has an interactive data analysis tool that allows students to create their own sets of data. They also see how the functions of mean, median, and standard deviation depend on the choice of data. Students enter data and a histogram is drawn showing the results. Students can explore how the graph is altered by changing the mean and median.
   7. Fun and Sun: Rent a Car - Collection, Organization, and Presentation of Data  (III.1.MS.1,2,3&4) 
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
   8. Height to Hand Relationship - Collection, Organization, and Presentation of Data (III.1.MS.2)
      Scatter Plot – Height to hand relationship - in an interactive format.
   9. Houston Area Real-Time Traffic Report - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Outstanding - Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
   10. Is Our Room All One Temperature - Collection, Organization, and Presentation of Data (III.1.MS.2)
       This activity is part of Project SkyMath: module Section 3, Activity 8. In this activity students create bar graphs to represent collected data.
   11. Math Files - Data Picking - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
       This is an interactive game where students need to survey a group of students (on the computer) and then enter their results in a frequency table or chart. Then, after the computer graphs these results, the student is asked to examine the graphs and decide which graph best represents the data. Circle graphs and scattergrams are included.
   12. NSC-Discovery - Collection, Organization, and Presentation of Data (III.1.MS.1,2&3)
       This lesson uses a real world situation to explore data collection and analysis. Students are asked to consider whether height restrictions in the military affect the numbers of men and women who are allowed to enlist. Students gather data about the class, create a graph to display data, and analyze the data to answer questions.
   13. NCES'S Create a Graph - Collection, Organization, and Presentation of Data (III.1.MS.2)
       This site allows students to choose various types of graphs and construct them.  Instructions are student friendly.  Before students construct a particular graph, there is an explanation about the components of the graph, and an example of how the graph is applied in real life.
   14. Road Trip Web Quest - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       In this interactive wequest, students will select a destination based on several criteria.  Using the Internet students will determine cost of meals, travel, lodging and entrance into destinations.  Students must select a vacation destination that will fit with their financial and time constraints.  Students will present their information and their travel agenda.
   15. Snowfall Statistics for Snowboarding - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
   16. Subtracting the Ads - Collection, Organization, and Presentation of Data (III.1.MS.1&2)
       This activity explores the amount of time spent watching commercials in a half-hour program.  They keep a tally of all the commercials that appear and make a class frequency chart, comparing the number of commercials in different types of television programs.
   17. Surfing Amusement Parks - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
   18. What Percentage of Your Class is Right or Left Handed? - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students will write letters down for 20 seconds with their right hand and then do the same for their left. Record the results in a graph form. This is a student activity.
   19. World Shopping Spree - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.
3. Benchmark 3. "Present data using a variety of appropriate representations and explain why one representation is preferred over another or how a particular representation may bias the presentation."  
   1. A Functional Housing Market - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
   2. Adventures in Statistics - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
   3. Fun and Sun: Rent a Car - Collection, Organization, and Presentation of Data  (III.1.MS.1,2,3&4) 
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
   4. Houston Area Real-Time Traffic Report - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
   5. Math Goodies: Introduction to Statistics - Collection, Organization, and Presentation of Data (III.1.MS.3)
      This site introduces mean, median, mode, and range.  It is a good review of these concepts or it can be used to introduce the topics.  A short quiz is offered at the end of the lesson to reinforce student learning.
   6. NSC-Discovery - Collection, Organization, and Presentation of Data (III.1.MS.1,2&3)
      This lesson uses a real world situation to explore data collection and analysis. Students are asked to consider whether height restrictions in the military affect the numbers of men and women who are allowed to enlist. Students gather data about the class, create a graph to display data, and analyze the data to answer questions.
   7. Road Trip Web Quest - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      In this interactive wequest, students will select a destination based on several criteria.  Using the Internet students will determine cost of meals, travel, lodging and entrance into destinations.  Students must select a vacation destination that will fit with their financial and time constraints.  Students will present their information and their travel agenda.
   8. Snowfall Statistics for Snowboarding - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
   9. Surfing Amusement Parks - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
   10. What Percentage of Your Class is Right or Left Handed? - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       Students will write letters down for 20 seconds with their right hand and then do the same for their left. Record the results in a graph form. This is a student activity.
   11. World Shopping Spree - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.
4. Benchmark 4. "Identify what data are needed to answer a particular question or solve a given problem, and design and implement strategies to obtain, organize and present those data."  
   1. A Functional Housing Market - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
   2. Adventures in Statistics - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
   3. Fun and Sun: Rent a Car - Collection, Organization, and Presentation of Data  (III.1.MS.1,2,3&4) 
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
   4. Houston Area Real-Time Traffic Report - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
   5. Road Trip Web Quest - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      In this interactive wequest, students will select a destination based on several criteria.  Using the Internet students will determine cost of meals, travel, lodging and entrance into destinations.  Students must select a vacation destination that will fit with their financial and time constraints.  Students will present their information and their travel agenda.
   6. Snowfall Statistics for Snowboarding - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
   7. Surfing Amusement Parks - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
   8. The Winning Edge: Probability in Basketball - Collection, Organization, and Presentation of Data (III.1.MS.4)
      This is one in a series of on-line interactive pages exploring probability and statistics in real life. These lessons utilize on-line simulations to general data.
   9. What Percentage of Your Class is Right or Left Handed? - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. Record the results in a graph form. This is a student activity.
   10. World Shopping Spree - Collection, Organization, and Presentation of Data (III.1.MS.1,2,3&4)
       In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.