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

No Core Resource for this Big Idea.

Consider using the Instructional Routines linked below for teaching towards this Big Idea.