ࡱ>  bjbjVV ;@<<E :, , oo8/$SMzzz;M=M=M=M=M=M=MO*Rh=MzX"zzz=MooyRMzoR;Mz;MID"MWod6nX/K&'MhM0MUKRLRLMRM zzzzzzz=M=MzzzMzzzzRzzzzzzzzz, 5: Title: Big Foot Achievement Objectives: S5-1D Using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets S5-1E Comparing sample distributions visually, using measures of centre, spread and proportion S5-1F Presenting a report of findings Key Competencies: Thinking: Exploring and using patterns and relationships in data Relating to Others: Share ideas Using Language, Symbols and Texts: Interpret statistical information Managing self: Seek understanding Participating and Contributing: Contribute to a culture of inquiry and learning This activity explores the following key ideas: Constructing dot plots and box plots Comparing box plots Writing a conclusion Resources For each student: worksheet of data Worksheet for conclusions For each group: OHT PenPrior Knowledge: Constructing a box plot Constructing a dot plot Five-point summaries Adapting for ICT Data in Excel Use Tinkerplots / Fathom to analyse Introduction/Background To introduce the activity and to give it more purpose you could tell a story like: Alice loves going to her cousins farm; waking up to the sound of roosters and the smell of Aunties fresh bread. When Alices family arrive, after all the hugs and kisses, they take off their city shoes and put on gumboots. The cousins have heaps of gumboots all lined up at the back door. Normally Alice fits bigger gumboots than her twin brother, but this year she noticed that he has bigger gumboots. She wonders if he has thicker socks or if he actually has bigger feet. Problem Who has bigger feet, girls or boys? [Ask students to estimate the difference]. Plan To make this a statistical problem we will look at the length of a students right foot. Data Data from the CensusAtSchool website will be used, using sample of students from Years 9, 11 and 13. Analysis  With students in small groups, give each a sample of right foot length data. Each group should be given a different age group to investigate. With the 6 groups, 2 groups can study each age group. As a group the students first construct dot plots on their worksheet, calculate the five point summaries, and then draw the box plots above the dot plots. To save time half the group could plot the data for the girls and half could plot the data for the boys foot length. They then overlay a piece of OHT and trace the box plots. Alternatively use the random sampler on Census At School either with or without the box plot. A different sample of each age for each group of students could be prepared. Conclusion  The group discusses the dot and box plots and writes their conclusion on their worksheets using the following sentence starters: I notice I wonder The students conference with another group who have analysed the same data sets i.e. the foot lengths of the same age group. They check the dot and box plots and discuss their conclusions. Have they come to the same conclusions? Are their reasons the same? Did they describe the distributions in the same way? Reflection As a class work at all the data sets, using the OHP, and draw conclusions about the overall trends. Do girls always have smaller feet than boys? At what age would they have the same size feet? To extend this activity Students could write a conclusion referring to all six data sets.      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