Chapter 13 - Variability & Data Distributions

Chapter 13 - Variability and Data Distributions

6.SP.A.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.A.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 it values vary with a single number.

6.SP.B.4 - Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

6.SP.B.5 - Summarice numerical data sets in relation to their context such as by:

6.SP.B.5c - 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.

6.SP.B.5d - Relating the choice of measure of center variability to the shape of the data distribution and the context in which the data were gathered.

Vocabulary

  1. box plot
  2. lower quartile
  3. measure of variability
  4. range
  5. interquartile range
  6. mean absolute deviation
  7. median
  8. upper quartile

Lesson 13.1 - Patterns in Data

  • Students will be able to describe overall patterns in data, including clusters, peaks, gaps, symmetry.

Lesson 13.2 - Box Plots

  • Students will be able to display data in box plots.

IXL Practice

  • GG.19 - Interpret box-and-whisker plots

Lesson 13.3 - Investigate: Mean Absolute Deviation

  • Students will be able to understand mean absolute deviation as a measure of variability from the mean.

Lesson 13.4 - Measures of Variability

  • Students will be able to summarize a data set by using range interquartile range, and mean absolute deviation.

Lesson 13.5 - Choose Appropriate Measures of Center and Variability

  • Students will be able to choose appropriate measures of center and variability to describe data, and justify the choice.

IXL Practice

  • HH.1 - Calculate mean, media

Lesson 13.6 - Apply Measures of Center and Variability

  • Students will be able to recognize what measures of center and variability indicate about a data set.