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Achievement Objectives: S4-1B Gathering, sorting and displaying multivariate category, measurement, and time-series data to detect patterns, variations, relationship and trends S4-1D Communicating findings, using appropriate displays S5-1A Determining appropriate variables and measures 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 S6-1E Justifying findings, using displays and measures Key Competencies: Thinking: Predicting / envisioning outcomes Exploring and using patterns and relationships in data Analysing Using Language, Symbols and Texts: Interpret Statistical information Use ICT as appropriate Interpret visual representations such as graphs, diagrams This activity explores the following key ideas: Writing a statistical question Dot plots Box plots Spread Distributions Making a comparison between data sets Writing a conclusion Resources Student worksheet Conclusion definition from Tell it like it is! activityPrior Knowledge: Dot plots Box plots Measures of centre Measures of spread Adapting for ICT Could give data in rows and let students categorise them. Samples for regions/NZ could be drawn online for use in Fathom/ Tinkerplots. This would permit gender based comparisons as well. Introduction/Background This activity investigates the amount of sleep New Zealand students get each night. The number of hours slept by students who own cell phones may be compared with the number of hours slept by students without cell phones. This allows the teacher to lead the students through and model an analysis and conclusion. The students may then compare the number of hours slept by students who send more than 50 text messages sleep to the other two data sets. Discussion starter: A 2005 Australian study, conducted by Andrew Fuller, into the sleeping habits of school students found that text communication was more likely to deprive female students than male students of sleep. More than 40% of school students are chronically sleep deprived, because they are staying up late into the night sending text messages to their friends. This lack of sleep was leaving students grumpy and impaired their concentration at school the next day. An American study at Browns Medical School found that teenagers require at least 9.2 hours of sleep each night to be able to learn effectively. Problem Are New Zealand students getting enough zzz? This must be based on the number of hours slept by students. Plan 1. You may like to ask the students to make a prediction. The prediction needs to be related to the sample being analysed, that is, NZ school students. For example, Do NZ school students who own a cell phone get more or less sleep than students who do not own a cell phon? (Comparison with their class can be an extension activity). 91 2. The data for this activity is provided on the data sheet. They are random samples, each of size 31, taken from the 91 website. NB the provided data does not give information on gender. Analysis  Remind students how to prepare dot and box plots by demonstrating on an overhead and marking in measures such as the median and quartiles. Students then complete the set of plots for all three groups. To check understanding you might like to ask questions like: without counting the dots, how many should be in each section? If there were 100, how many would be in each section? If another student joined the class how many hours would they probably sleep? Have students look at their plots and write I notice and I wonder statements about, remembering to compare the samples. Summary statistics Shape of the data Spread of the data Middle 50% of the data Conclusion Model writing a conclusion. Ensure the question posed at the problem stage is answered and statistical evidence is given, in the form features of the plots or summary statistics. Students may write their own conclusions for the other two comparisons. 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