Data Analysis and Probability Standard

Instructional programs from pre-K through grade 12 should enable all students to --

Standard Component
Interactivate Lessons
Grades 6-8 Expectations
formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; Probability and Sports
Statistics and Shopping
Stem-and-Leaf Plots
Histograms and Bar Graphs
Box Plots
The Bell Curve
  • formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population;

  • select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatter plots.

select and use appropriate statistical methods to analyze data; Expected Value
Unexpected Answers
Statistics and Shopping
Mean, Median and Mode
Stem-and-Leaf Plots
Histograms and Bar Graphs
Box Plots
The Bell Curve
  • find, use, and interpret measures of center and spread, including mean and interquartile range;

  • discuss and understand the correspondence between data sets and their graphical representations, especially histograms, stem-and-leaf plots, box plots, and scatter plots.

develop and evaluate inferences and predictions that are based on data; Probability and Sports
Expected Value
Statistics and Shopping
Stem-and-Leaf Plots
Histograms and Bar Graphs
Box Plots
The Bell Curve
  • use observations about differences between two or more samples to make conjectures about populations from which the samples were taken;

  • make conjectures about possible relationships between two characteristics of a sample on the basis of scatter plots of the data and approximate lines of fit;

  • use conjectures to formulate new questions and plan new studies to answer them.

understand and apply basic concepts of probability. Probability and Sports
Ideas that Lead to Probability
Introduction to the Concept of Probability
Probability and Geometry
Conditional Probability and Probability of Simultaneous Events
Replacement and Probability
From Probability to Combinatorics and Number Theory
Expected Value
  • understand and use appropriate terminology to describe complementary and mutually exclusive events;

  • use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations;

  • compute probabilities for simple compound events, using such methods as organized lists, tree diagrams, and area models.