6adv.MATH.14.B

Summarize numeric data with numerical summaries, including the mean and median (measures of center) and the range and interquartile range (IQR) (measures of spread), and use these summaries to describe the center, spread, and shape of the data distribution.

Grade 6 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
numeric datanumerical summariesmeanmedianmeasures of centerrangeinterquartile rangeIQRmeasures of spreadcenterspreadshapedata distribution
Skills
  • summarize (numeric data with numerical summaries) #dok2
  • calculate (mean and median as measures of center) #dok2
  • calculate (range and interquartile range as measures of spread) #dok2
  • describe (center, spread, and shape of data distribution using summaries) #dok3
Learning Targets
  • I can calculate the mean and median for a set of numeric data as measures of center. #dok2
  • I can calculate the range and interquartile range (IQR) for a set of numeric data as measures of spread. #dok2
  • I can summarize numeric data by identifying mean, median, range, and interquartile range. #dok2
  • I can describe the center, spread, and shape of a data distribution using appropriate numerical summaries. #dok3
  • I can interpret what the measures of center and spread tell us about the data set. #dok3
Big Ideas
  • Numerical summaries such as mean, median, range, and interquartile range help us interpret the characteristics of a set of data.
  • Describing the center, spread, and shape of data distributions allows us to better understand and compare different data sets.
Essential Questions
  • How do mean and median help describe the center of a data set?
  • Why are range and interquartile range important when analyzing the spread of data?
  • What can measures of center and spread tell us about the overall distribution of data?
  • How does the choice of summary measure affect our understanding of the data?
  • In what situations might you prefer to use median over mean (or vice versa) when summarizing data?