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.

  • 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.

ACOS 2009 Correlation
Fourth Grade
  • 15.1 - Collecting data using observations, surveys, or experiments.
Fifth Grade
  • 14 - Analyze data collected from a survey or experiment to determine results and factors that affect results.
Sixth Grade
  • 10 - Interpret information from bar graphs, line graphs, and circle graphs.
Seventh Grade
  • 12.1 - Using a data set to create charts and graphs, including histograms, frequency tables, and stem-and-leaf plots, to display measures of central tendency.
Eighth Grade
  • 13 - Use given and collected data from samples or populations to construct graphs and interpret data.
Algebra I
  • 12 - Compare various methods of data reporting, including scatterplots, stem-and-leaf plots, histograms, box-and-whiskers plots, and line graphs, to make inferences and predictions.
Algbra 2 with Trig
  • 16.3 - Predicting population characteristics using sample statistics.
  • 16.4 - Identifying characteristics, including the mean and standard deviation, of a normal distribution.

CMP2 Correlation
Samples & Populations
Common Core Inv

My Humble Opinion
Drawing inferences from samples seems pretty intuitive, but gauging how far off the estimate might be is more difficult. This objective is new to 7th grade, moving down from 8th grade and Algebra I.