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© 2002 by School City of Hobart and EdVISION Corporation.
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School City of Hobart
School City of Hobart Mathematics
Mathematics - IN: Probability and Statistics

Data Interpretation

Data Collection
The learner will be able to collect data.
Strand Bloom's Scope Source Activities
Data Collection and Classification Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1 Classroom
  
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Probability/Statistics

Central Tendency: Calculate/Apply
The learner will be able to calculate and apply the mean, median, mode, weighted mean, geometric mean, harmonic mean, range, quartiles, variance, and standard deviation.
Strand Bloom's Scope Source Activities
Measures of Central Tendency   Master IN: Academic Standards, 2000, Probability and Statistics, PS.1.2 Classroom
  
Mutually Exclusive: Find Probability
The learner will be able to comprehend and apply the addition rule to compute probabilities for mutually exclusive and non-mutually exclusive events.
Strand Bloom's Scope Source Activities
Independent/Dependent/Mutually Exclusive   Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.2 Classroom
  
Distribution: Calculate/Interpret
The learner will be able to calculate and interpret the mean and variance of a probability distribution.
Strand Bloom's Scope Source Activities
Probability Distribution   Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.7 Classroom
  
Problem Solving: Probability
The learner will be able to apply counting methods, permutations, and combinations to obtain solutions to probability problems.
Strand Bloom's Scope Source Activities
Problem Solving   Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1 Classroom
  
Probability Concepts: Comprehend
The learner will be able to comprehend hypothesis tests of means and differences between means and apply them in forming conclusions.
Strand Bloom's Scope Source Activities
Probability Concepts   Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.2 Classroom
  
Data Display: Make/Compare/Evaluate
The learner will be able to make, compare, and evaluate various graphical representations of the same data using histograms, frequency polygons, cumulative distribution functions, pie charts, scatterplots, stem-and-leaf pots, and box-and-whisker plots, creating these by hand or using a computer spreadsheet.
Strand Bloom's Scope Source Activities
Data Display   Master IN: Academic Standards, 2000, Probability and Statistics, PS.1.1 Classroom
  
Probability: Comprehend/Conditional
The learner will be able to comprehend the ideas of conditional probabilities.
Strand Bloom's Scope Source Activities
Probability Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5 Classroom
  
Data: Fit/Straight Lines
The learner will be able to fit a straight line to given data.
Strand Bloom's Scope Source Activities
Data Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 3 Classroom
  
Measures of Central Tendency: Apply
The learner will be able to apply the measures of central tendency.
Strand Bloom's Scope Source Activities
Measures of Central Tendency Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1 Classroom
  
Dependent/Independent: Multiplication
The learner will be able to comprehend how to calculate the probability of dependent and independent events using the multiplication principle.
Strand Bloom's Scope Source Activities
Independent/Dependent/Mutually Exclusive Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.3 Classroom
  
Bayes' Theorem: Understand
The learner will be able to understand Bayes' Theorem.
Strand Bloom's Scope Source Activities
Independent/Dependent/Mutually Exclusive Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5 Classroom
  
Dependent/Independent: Multiplication
The learner will be able to calculate the probability of dependent and independent events using the multiplication principle.
Strand Bloom's Scope Source Activities
Independent/Dependent/Mutually Exclusive Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.3 Classroom
  
Complementary Events: Probability
The learner will be able to calculate the probability of complementary events.
Strand Bloom's Scope Source Activities
Independent/Dependent/Mutually Exclusive Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.4 Classroom
  
Bayes' Theorem: Problem Solving
The learner will be able to apply Bayes' theorem to problems solving situations.
Strand Bloom's Scope Source Activities
Independent/Dependent/Mutually Exclusive Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5 Classroom
  
Counting Methods: Understand Procedures
The learner will be able to comprehend counting procedures.
Strand Bloom's Scope Source Activities
Counting Methods Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1 Classroom
  
Permutations: Understand/Counting Method
The learner will be able to develop an understanding of permutations as a method of counting.
Strand Bloom's Scope Source Activities
Permutations Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1 Classroom
  
Combinations: Understand
The learner will be able to understand combinations.
Strand Bloom's Scope Source Activities
Combinations Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1 Classroom
  
Probability Distributions: Solving
The learner will be able to obtain problem solutions through the use of probability distributions.
Strand Bloom's Scope Source Activities
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 2, PS.2.10 Classroom
  
Probability Distribution: Applying
The learner will be able to use a variety of probability distributions, such as binomial, geometric, multinomial etc.
Strand Bloom's Scope Source Activities
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.6 Classroom
  
Distribution: Apply/Normal
The learner will be able to apply the normal distribution.
Strand Bloom's Scope Source Activities
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.8 Classroom
  
Distribution: Curve of Best Fit/Squares
The learner will be able to determine the curve of best fit for collected data by applying the principle of least squares.
Strand Bloom's Scope Source Activities
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.3 Classroom
  
Central Limit Theorem
The learner will be able to apply the central limit theorem in solving problems.
Strand Bloom's Scope Source Activities
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.9 Classroom
  
Central Limit Theorem: Understand
The learner will be able to illustrate an understanding of the Central Limit Theorem.
Strand Bloom's Scope Source Activities
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.9 Classroom
  
Confidence Intervals: Calculate
The learner will be able to calculate confidence intervals to formulate estimates.
Strand Bloom's Scope Source Activities
Intervals Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.1 Classroom
  
Confidence Intervals: Apply
The learner will be able to apply confidence intervals to formulate estimates.
Strand Bloom's Scope Source Activities
Intervals Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.1 Classroom
  
Intervals: Apply/Confidence
The learner will be able to apply confidence intervals and hypothesis tests.
Strand Bloom's Scope Source Activities
Intervals Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 3 Classroom
  
Variate: Continuous/Problem Solving
The learner will be able to solve problems using continuous random variables.
Strand Bloom's Scope Source Activities
Probability Functions Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.10 Classroom
  
Variate: Discrete/Apply
The learner will be able to apply discrete random variables in probability situations.
Strand Bloom's Scope Source Activities
Probability Functions Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.6 Classroom
  
Variability: Apply
The learner will be able to apply measures of variability.
Strand Bloom's Scope Source Activities
Correlation/Deviation/Variance Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1 Classroom
  
Correlation: Coefficient/Compute
The learner will be able to compute the correlation coefficient for collected data.
Strand Bloom's Scope Source Activities
Correlation/Deviation/Variance Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 3, PS.3.4 Classroom
  
Correlation: Coefficient/Interpret
The learner will be able to interpret the correlation coefficient for collected data.
Strand Bloom's Scope Source Activities
Correlation/Deviation/Variance Analysis Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.4 Classroom
  
Problem Solving: Probability
The learner will be able to apply probability to obtain solutions to problems.
Strand Bloom's Scope Source Activities
Problem Solving Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 2 Classroom
  
Problem Solving: Conditional Probability
The learner will be able to use conditional probability to problem solve.
Strand Bloom's Scope Source Activities
Problem Solving Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5 Classroom
  
Data Display
The learner will be able to display data.
Strand Bloom's Scope Source Activities
Data Display Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1 Classroom
  
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