Statistics And Probability

Outcomes

Use Random Sampling To Draw Inferences About A Population.
- 7.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.
  
  Play Activities 2
  
  Examples
Draw Informal Comparative Inferences About Two Populations.
- 7.SP.3
  Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable.
  
  Play Activities 9
  
  Examples
Investigate Chance Processes And Develop, Use, And Evaluate Probability Models.
- 7.SP.6
  Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability. For example, when rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times, but probably not exactly 200 times.
  
  Play Activities 7
  
  Examples
- 7.SP.7
  Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
  
  Play Activities 62
  
  Examples
- 7.SP.7.a
  Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events. For example, if a student is selected at random from a class, find the probability that Jane will be selected and the probability that a girl will be selected.
  
  Play Activities 6
  
  Examples
- 7.SP.8
  Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
  
  Play Activities 15
  
  Examples
- 7.SP.8.a
  Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
  
  Play Activities 22
  
  Examples