In Math 6 and Math 6+, students used Lesson 8.5: Summarize Data Using Measures of Variability. Mr. Giomini introduced the concept by collecting data from randomly selected students within the classroom. Based on previous discussions, students were asked to determine the three measures of center: mean, median, and mode.
Using the data set, Mr. Giomini asked students to determine the five number summary for the data: lower extreme, quartile one, quartile two, quartile three, and upper extreme. Once these were agreed upon, we calculated the interquartile range (IQR).
Finally, the mean absolute deviation (MAD) was introduced and practiced. This measure of variability The mean absolute deviation of a set of data is the average distance between each data value and the mean.
- 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.
- 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.
- Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
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