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Mathematics > Course Model Mathematics III (Integrated Pathway) > Making Inferences and Justifying Conclusions
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Mathematics | Course : Model Mathematics III (Integrated Pathway)

Domain - Making Inferences and Justifying Conclusions

Cluster - Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

[MIII.S-IC.B.4] - Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.*

Resources:


  • Mean
    A measure of center in a set of numerical data, computed by adding the values in a list and then dividing by the number of values in the list. Example: For the data set {1, 3, 6, 7, 10, 12, 14, 15, 22, 120}, the mean is 21.
  • Model
    A mathematical representation (e.g., number, graph, matrix, equation(s), geometric figure) for real-world or mathematical objects, properties, actions, or relationships.
  • Proportion
    An equation that states that two ratios are equivalent, e.g., 4/8 = ½ or 4 : 8 = 1 : 2.
  • Random sampling
    A smaller group of people or objects chosen from a larger group or population by a process giving equal chance of selection to all possible people or objects.

Predecessor Standards:

  • 7.SP.A.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.
  • 7.SP.B.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.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • MIII.S-IC.A.1
    Understand statistics as a process for making inferences to be made about population parameters based on a random sample from that population.*
  • MIII.S-IC.B.3
    Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.*
  • MIII.S-IC.B.6
    Evaluate reports based on data.*