STATISTICS AND PROBABILITY: DATA ANALYSIS General Outcome: Collect, display, and analyze data to solve problems. 1

Process Develop and implement a project plan for the collection, display, and analysis of data (1) Prepare a question. (2) Identify the population and choose a sample. (3) Collect the data. (4) Analyze and display the data. (5) Evaluate your plan. (6) Conclusions and Recommendations Sample Question: Design a survey to find out the favourite radio station of students in your school. 2

Evaluation Describe factors that affect data collection: bias, language, ethics, cost, time and timing, privacy, cultural sensitivity Sample Question: Sofie read 7 randomly chosen books from each library in her city. Each library is the same size. Is this sample of the city's books likely to be biased? 3

Evaluation Describe factors that affect data collection: Bias, language, time and timing… Select and defend the choice of using either a population (census) or a sample of a population (sample) to answer a question Understand and choose an appropriate sample: Simple random sampling, cluster sampling… Sample Question: Winnipeg’s city council wants to find out if its residents are satisfied with the garbage removal service. Should a sample or census be used to collect the data? Explain why. 4

Grades 2 and 3 Gather and record data about self and others to answer questions Organize data using objects, tallies, check marks or lists. Construct and interpret concrete pictographs and graphs (bar graphs start in gr.3) 5 5

Grades 4 and 5 One-to-one and many-to-one correspondence graphs Differentiate between first-hand and second- hand data Double bar graphs attributes (title, axes, intervals, and legend) 6 6

Grade 6 Line graphs and double graphs: Create from data, interpret, and draw conclusions Sample question: In 2002, did New Hamburg or Briggs Corner have fewer home sales? 7 7

Grade 6 Select methods of collecting data (questionnaires, experiments, databases, electronic media…) Graph data and analyze graphs to solve problems Draw histograms Sample question: How many people waited between 51 and 61 minutes? 8 8

Creating and Interpreting Graphs Histograms Bar Graphs Line Graphs Circle Graphs Sample problem: If there are 150 restaurant accidents per year in Kelowna, how many of them would you expect to be burns and scalds? Determine which advantages/disadvantages of different graphs for given data set. Explain how different graphs explain different aspects Create graph from data (with/without technology) Describe graph trends Interpolate/extrapolate values from graph Solve contextual problems from graph.

Evaluation of Method Critique and compare ways data is presented Same data presented by different types of graphs: circle graphs, line graphs, bar graphs, double bar graphs, and pictographs Advantages and disadvantages of different graphs for presenting specific set of data Sample Q: Would you use a bar graph, pictograph, double bar graph, or circle graph to show number of boys and girls per grade? 10 10

Grade 7 Measures of range and central tendency (mean, median, mode) Determine for given set of data Effect of outliers Sample question: What is the median number of houses in each town? 11 11