Inferences

  • Use random sampling to draw inferences about a population.


    MGSE7.SP.1 Understand that statistics can be used to gain information about a population by
    examining a sample of the population; generalizations about a population from a sample are
    valid only if the sample is representative of that population. Understand that random sampling
    tends to produce representative samples and support valid inferences.


    MGSE7.SP.2 Use data from a random sample to draw inferences about a population with an
    unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same
    size to gauge the variation in estimates or predictions. For example, estimate the mean word
    length in a book by randomly sampling words from the book; predict the winner of a school
    election based on randomly sampled survey data. Gauge how far off the estimate or prediction
    might be.


    Draw informal comparative inferences about two populations.


    MGSE7.SP.3 Informally assess the degree of visual overlap of two numerical data distributions
    with similar variability, measuring the difference between the medians by expressing it as a
    multiple of the interquartile range.


    MGSE7.SP.4 Use measures of center and measures of variability for numerical data from
    random samples to draw informal comparative inferences about two populations. For example,
    decide whether the words in a chapter of a seventh‐grade science book are generally longer than
    the words in a chapter of a fourth‐grade science book.