6 Components
Initial Task
Formative Assessment Lesson
Browse Components
Initial Task
Formative Assessment Lesson
Big Idea:

Big Idea 1

Measures of center are used to interpret univariate data.

1 week

Evidence of Understanding

  • aggregate univariate data and use measures of center and spread to interpret it
    • interpret a data set’s center using the mean or median
    • describe how frequency impacts mean and median
      • interpret data sets where some points occur with a frequency greater than 1
    • distinguish measures of center and analyze how information about the data set is conveyed
    • explore 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
      • describe how individual data points relate to the mean using range and density 
    • identify and justify values that can be added to the data set without altering the median or mean
      • consider and justify where other data points may lie in relation to the mean using the distribution of the data set
    • describe the variability of a data set using range and density of points towards the center   

 

  • compare the center and spread of univariate data sets represented in multiple ways
    • represent univariate data in a variety of different ways: box plotsstem and leaffrequency tablesdotplotshistograms, cumulative frequency histograms
      • explain how features of a representation convey statistical information about a data set
      • describe how a univariate representation aggregates the data set
    • interpret measures of center (mean and median) and spread (range and interquartile range) from any representation of a univariate data set
      • analyze the relationship between range, variation, and the mean using standard deviation
      • differentiate measures of center and spread across two or more data sets
    • compare different ways of representing data sets and describe advantages of each type 
      • recognize what is gained and lost from the data set by creating a box plot
      • explain how representations can yield different interpretations of and conclusions from data

 

Develop conceptual understanding:

statistics, measures of center, mean, median, mode, frequency, range, outlier, interquartile range, univariate, frequency table, dot plot, histogram, box plot, stem and leaf plot, density, variability, standard deviation, distribution

Supporting terms to communicate:

data point, data set, independent, dependent, domain, range, random, sample, categorized, summarized

Core Resource

A core resource supports multiple days of instruction.

  • Measures of Center
    This resource is intended to support students in making connections between the different data distributions and the measures of center one can calculate for those distributions.
    Resource:
    Measures of Center

    This resource is intended to support students in making connections between the different data distributions and the measures of center one can calculate for those distributions.

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