Statistics Henderson/Te Atatu Lead Teachers PAT Y6 Question (time-series data) Emma went for a run from home. She stopped for a while and then walked home. Which graph shows how far from home she was during her journey? What is statistics about? Statistics involves identifying problems that can be explored by the use of appropriate data, designing investigations, collecting data, exploring and using patterns and relationships in data, solving problems, and communicating findings. Statistics also involves interpreting statistical information, evaluating data based arguments, and dealing with uncertainty and variation. Posing and answering questions Gathering, sorting and displaying Communicating findings How is Statistics different in the new curriculum? Data is still key Enquiry cycle (PPDAC) Verbs Posing, gathering, sorting, displaying, communicating, displaying, using Specific graph types not mentioned So whats new? () Statistics in the NZC and Standards Highlight the difference in progression from Y1 to Y8 Circle any vocabulary that you are unsure of. Collecting data What are these data types? Category data (Y1 onwards) Whole Number data (Y3 onwards) Multivariate category or whole number data (Y6 onwards) Time-series data (Y6 onwards) Measurement data (Y7 onwards) Problem Question Types Summary (Years 1- 8) A description of the data, usually a single data set What is the most common birth month in our class Comparison (Y5 onwards) Comparing two (or more) sets of data across a common variable, e.g. Do females typically live longer than males? Relationship (Y7 onwards) Interrelationship between two paired variables,e.g. Does watching a lot of TV increase your IQ? Classifying Sort / classify the questions according to the following categories: Summary Comparison Relationship Category Data Numerical Data Time-Series Data Analysis Use I notice as a starter for statements. For category variables: (e.g. birth month etc) Shape The most common category, the least common category, other categories of interest Anything unusual, or of interest For measurement variables: (e.g. bed time) Shape Spread (difference between lowest & highest values) Middle group(s) Anything unusual, or of interest Collecting category data using post it notes Leisure activity = Reading Collecting bivariate data using post it notes Leisure activity = Reading Leisure activity = Playing sport GirlsBoys Collecting multivariate data using post it notes What school subject do you most enjoy teaching? What time did you go to bed last night? What school subject did you most enjoy at school as a child? Birth month Analysis : Key words for describing data display ShapeMiddleSpread Clump (s) gap, symmetrical, rectangular, most of the data is, a few points are Same/different The middle of the data is .. about.., between, higher/lower Close together, spread out, evenly spread, mostly between, less/more spread out than Describing Categories Most (N.B. most must be more than half), least, some, all, more than, less than, more than half, about half, roughly a quarter, a lot, not many, a few, most popular, least popular, most typical, least typical Analysis Use I notice as a starter for statements. For category variables: (e.g. birth month etc) Shape The most common category, the least common category, other categories of interest Anything unusual, or of interest For measurement variables: (e.g. bed time) Shape Spread (difference between lowest & highest values) Middle group(s) Anything unusual, or of interest I notice that the most common birth month is August with 5 people in the group. I notice the least common birth months are January and November with no one in the group born in these months. I notice that four months have four people born in them, they are May, June, October and December. I notice that the Winter months have the most people born in them, 12 people. Spring has the least number of people born with only 5 people born then. Useful Websites: CensusAtSchool h t t p : / / / h t p : / Leonardo da Vinci ( ) was a scientist and an artist. In 1492 he drew this picture. Can you see how the man is standing In a circle and a square? Leonardo thought that The span of someones arms is equal to their height. Why do you think he was interested in working out body proportions? Do you think Leonardos theories still work today? Are you a Masterpiece? Plan What variables do we need to collect? How shall we pose the survey questions. Who shall we ask / how many? How will we know when we have asked everyone? How are we going to record and collect the data? Data cards Leisure activity Arm span No. of members in your family Height Brainstorm all possible questions from the available information on the data cards. Analysis Make a graph using your data cards that will help you to answer your question. Describe the graph identifying patterns and trends in context. Remember the context. If I cover any labels can I still tell what the graphs are showing? Relationship Question Are you a masterpiece? What is the relationship between your height and arm span? Useful Websites: Gender: female Age: 12 Height: 155 cm Arm span: 155 cm Travel: walk Time: Lunch: ran Gender: male Age: 12 Height: 163 cm Arm span: 163 cm Travel: walk Time: less 10 Lunch: ran Resources:(Second tier material, statistics units)www.nzmaths.co.nzFigure It Out Statistics, Data Cards: And remember 98% of all statistics are made up! Thought for the day Remember that frequently The student knows more than the teacher about what he has learned even though he knows less about what he was taught. Just because youve taught it doesnt mean theyve learned it!