Develop an understanding of statistical variability.
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6.SP.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
6.SP.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
6.SP.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Summarize and describe distributions.
6.SP.4 Display numerical data in plots on a number line.
6.SP.5 Summarize numerical data sets by...
Disc Golf (Measures of Center/Variation, Box Plots and Histograms)
Pro disc golf player Alberto has hired Andrew, a data analyst, to gain an advantage over his competitors. He uses your data and input to decide which discs to use. Alberto has asked Andrew to analyze the data of his approach shots from the last few tournaments. He wants to know which disc weight has been working better for him. Based on your data analysis, which disc do you recommend?
*have students create various data displays and calculate measures of center and variation
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NBA Draft (Measures of Center/Variation)
The NBA draft is in 2 weeks, and our team has the first pick. We need to decide between the top 3 prospects. Craig Odom, Stan Bow, and Aiden Morris. Our team will analyze their stats against the top 8 teams they played against this past year in college. We need to be as thorough as we can be. The future of the franchise is on the line. Who do we pick?
*have students create various data displays and calculate measures of center and variation
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Quiz Scores (Measures of Center/Variation and Bar Graphs)
Mr. Alberto has graded all the quizzes for his geometry classes, input all the grades into a spreadsheet, and created this graph. Which class performed the best?
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Road Race (Measures of Center/Variation, Box Plots and Histograms)
Two weeks before the Tour de France, a three-week bike race through France, there is one spot left over on the eight-man team you bring to the race. You have two choices for that one stop: Andrew and Alberto. You want to make a fair decision, so you look at the data from the last training camp. The data shows how much wattage and power output they produced on the 15 training rides. Based on the data, who do you bring?
*have students create various data displays and calculate measures of center and variation.
Traffic Light (Measures of Center/Variation, Dot Plots and Box Plots)
The Department of Transportation uses data to address traffic congestion. Li has located the busiest freeway on-ramp for you to observe. Use measures of center and variation to draw your conclusions about which solution works best and put together a presentation for the city council meeting.
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