STATISTICS AND PROBABILITY DATA ANALYSIS Grade 2 12

STATISTICS AND PROBABILITY: DATA ANALYSIS Grade 2– 12 General Outcome: Collect, display, and analyze data to solve problems. Goran, Wendy, Grace, Joshua

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)

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

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?

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?

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?

Grade 7 • Construct, label, and interpret circle graphs: • Translate graph angle quantities into percentages • Stem-and-leaf plots

Grade 8 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?

Grade 8 Misconceptions/misinterpretations from graph formatting Conclusions about inconsistency with a given data set or graph, and the misinterpretation

Grade 9 • 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?

Grade 9 • 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 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.

Grade 9 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. Sample Question: Design a survey to find out the favourite radio station of students in your school.

Grade 10 No data analysis in Grade 10 • Foundation • Pre-Calculus • A & W

Foundation of Mathematics 11 • Normal distribution, including: • standard deviation (σ) • z-scores.

Foundation of Mathematics 11 Standard Deviation (σ): (how much variation or "dispersion" )

Foundation of Mathematics 11 Sample question: The mean height of the high school basketball players is 181 cm, and the standard deviation is 6 cm. What percent of players is between 169 cm and 175 cm?

Foundation of Mathematics 11 • Z-scores : Standard scores raw score to be standardized standard deviation population mean

Foundation of mathematics 11 • Z-score table

Foundation of Mathematics 11 • They also learn how to use TI 84 for statistics.

Foundation of Mathematics 11 • Students can interpret statistical data, using: • confidence intervals • confidence levels • margin of error.

A & W Maths 11 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?

A & W Maths 11 Creating and Interpreting Graphs Histograms Bar Graphs Line Graphs Circle Graphs Connection: Also working with linear equations this year

A & W Maths 12 Analysing Central Tendency Mean Median Mode Weighted Mean Trimmed Mean Percentiles

Overview of Pathways Gr. 6– 7 Gr. 8 collecting mean… data vs Gr. 9 sampling Gr. 10 Gr. 11 Gr. 12 weighted mean, percentiles… A&W σ, z-score… Foundations

Remediation for HUGE hole in Grade 10 Teach quartiles, inter-quartile range in Grade 10

Remediation for HUGE hole in Grade 10

Overview of Pathways Gr. 6– 7 Gr. 8 collecting mean… data vs Gr. 9 sampling Gr. 10 Gr. 11 Gr. 12 weighted mean, percentiles… A&W σ, z-score… Foundations