Mathematics (2019) Grade(s): 6

MA19.6.23

Calculate, interpret, and compare measures of center (mean, median, mode) and variability (range and interquartile range) in real-world data sets.

Unpacked Content

Knowledge

Students know:
  • Measures of center and how they are affected by the data distribution and context.
  • Measures of variability and how they are affected by the data distribution and context.
  • Methods of determining mean, median, mode, interquartile range, and range.

Skills

Students are able to:
  • Describe the nature of the attribute under investigation including how it was measured and its unit of measure using the context in which the data were collected.
  • Determine measures of center and variability for a set of numerical data.
  • Use characteristics of measures of center and variability to justify choices for summarizing and describing data.

Understanding

Students understand that:
  • Measures of center for a set of data summarize the values in the set in a single number and are affected by the distribution of the data.
  • Measures of variability for a set of data describe how the values vary in a single number and are affected by the distribution of the data.

Vocabulary

  • Data distribution
  • Measures of center
  • Measures of variability
  • Mean
  • Median
  • Mode
  • Interquartile range
  • Range
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