005 - Probability and Statistics Exam Questions and Answers.

005 - Probability and Statistics Exam Questions and Answers Stem & Leaf Plots - Correct Answers: REMEMBER - Correct Answers: If there are two or more - multiply If there is one - possible outcomes/total A PROBABILITY CANNOT BE NEGATIVE A pair of dice is rolled... - Correct Answers: What is the probability the sum of the dice is less than 13? 36/36 = 1 REMEMBER: With a pair of dice there are 36 possible outcomes! Dot Plots & Line Plots - Correct Answers: Used for small data sets Probability Theory - Correct Answers: ~A proportion of times that some event will occur if occurring randomly ~Allows us to make intelligent guesses about future events ~from 0.0 to 1.0 Sample Space - Correct Answers: The set of all possible outcomes of an experiment Probability - Correct Answers: Counting Techniques used for Solving Problems - Correct Answers: 1) Use networks, traceable paths, tree diagrams, Venn diagrams, and other pictorial representations. 2) Use the fundamental counting principle. 3) Use combinatorial reasoning to solve problems. 4) Use counting techniques to solve probability problems (counting techniques used in the Fundamental Counting Principle) 5) Use simulations to solve counting and probability problems. Fundamental Counting Principle - Correct Answers: A way to figure out the total number of ways an event can occur (tree diagram or ↑ ↓) Probability Fundamental Counting Principle Example - Correct Answers: Data Analysis - Correct Answers: Involves both probability and statistics What kind of data is best shown on a line graph? - Correct Answers: Data that shows change over time: growth rates, temperature, sales, etc. What kind of data is best shown on a bar graph? - Correct Answers: Discrete data: length, area, height, weight, attendance... Mode - Correct Answers: **If all the values appear the same number of times, there isn't a mode** **There can be more than one mode** Research on Teaching Data Analysis - Correct Answers: 1) A problem-solving approach to teaching is consistent with how learners develop data analysis knowledge 2) Concept knowledge must be developed before developing procedural knowledge 3) Concepts and procedures are interdependent (dependent on each other) 4) Statistical representations can become more sophisticated using technology 5) Data organization can be improved by using technology tools 6) Teachers must sequence instruction based on developmental age-appropriate situations so students may examine certain types of situations before other types