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 C, students continue to find numerical summaries of data distributions. After seeing that the mean does not seem to represent a typical value in a distribution that is skewed, students find that they need other measures of center and spread. They calculate the median as a measure of center and the interquartile range as a measure of variability. Students also find the five-number summaries of data distributions and use these values to create box plots. Students interpret these values in context and use the interpretations to help them compare data distributions represented in box plots.
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.
5.DS.2: Understand and use measures of center (mean and median) and frequency (mode), to describe a data set.
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
I can...
Lesson at a Glance
T