In module 6, students begin to think and reason statistically. They identify statistical questions and represent data distributions by using dot plots, histograms, relative frequency histograms, and box plots. Students describe the center, spread, and shape of a data distribution. They calculate and interpret measures of center and spread including mean, mean absolute deviation, median, and interquartile range, and they use these measures to describe the typical value and variability of a data distribution. At the end of the module, students complete a project where they develop a statistical question, implement a plan to collect data, analyze and interpret the data they collect, and present their findings to their peers.
In topic D, students synthesize what they have learned and revisit measures of center and variability more deeply. This includes selecting measures of center and variability based on the context and shape of a data distribution. Then, through a project, students implement the four-step investigative process. They develop a statistical question and then create and use a plan to collect data. The topic culminates with students analyzing the data by creating data displays and calculating numerical summaries. They interpret their results to answer a statistical question and present their findings to their peers.
6.DS.1: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for the variability in the answers. 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.DS.2: Select, create, and interpret graphical representations of numerical data, including line plots, histograms, and box plots.
6.DS.4.b: describe the nature of the attribute under investigation, including how it was measured and its units of measurement
6.DS.4.c: determine quantitative measures of center (mean and/or median) and spread (range and interquartile range)
6.DS.4.d: describe any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered
6.DS.4.e: relate the choice of measures of center and spread to the shape of the data distribution and the context in which the data were gathered
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Lesson at a Glance
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