Big Idea:

Big Idea 1

Measures of center are used to interpret univariate data.

1 week

Evidence of Understanding

  • use mean, median, and mode to aggregate and interpret univariate data
    • describe what is gained and lost by interpreting a data set using the mean, median, or mode
    • describe how frequency and range impacts mean, median, and mode
      • Interpret statistical representations such as box plots, dot pots, histograms, bar graphs, tables, etc. where some data points occur with a frequency > 1
    • describe how removing or adding a value to a data set impacts the mean and median
      • explain the effect of an extreme outlier on the mean compared to its effect on the median
    • identify which value(s) can be added to the data set that do not alter the median, mean, or mode and justify why
       
  • use range and density to describe how individual data points relate to the mean
    • use range and density of points towards the center to describe the variability of a data set
    • use standard deviation to describe how range and variation are related to the mean
    • use a data set’s distribution to consider and justify where other data points may lie in relation to the mean
    • interpret the spread and mean of a statistical distribution.
       
  • interpret and describe connections between the frequency and distribution across different representations (graphs, tables, or charts)
    • Determine the extent to which the difference matters
    • Articulate the relationship between a normal distribution (a result of a continuous random variable) and a binomial distribution (a result of a discrete random variable).
    • Compare the experimental and theoretical probability of a sample space using areas in the distribution curve

Develop conceptual understanding:

statistics, univariate, measures of center, mean, median, mode, frequency, range, outlier, density, variability, standard deviation, distribution, spread, normal distribution, binomial distribution

Supporting terms to communicate:

data point, data set, independent, dependent, domain, range, random, sample, categorized, summarized, discrete, continuous
Core Resource
A core resource supports multiple days of instruction. COMING SOON!
    Instructional Routine: Contemplate then Calculate
    These tasks are embedded within the instructional routine called Contemplate then Calculate. COMING SOON!