Statistics and Probability
Outcomes
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Data Collection and Representation
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MA4-19SP
Collects, represents and interprets single sets of data, using appropriate statistical displays
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MA4-19SP
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Single Variable Data Analysis
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MA4-20SP
Analyses single sets of data using measures of location, and range
- Calculate mean, median, mode and range for sets of data and interpret these statistics in the context of data (ACMSP171)
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Describe and interpret data displays using mean, median and range (ACMSP172)
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Calculate measures of location (mean, median and mode) and the range for data represented in a variety of statistical displays, including frequency distribution tables, frequency histograms, stem-and-leaf plots and dot plots
Examples
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Draw conclusions based on the analysis of data displays using the mean, median and/or mode, and range
Examples
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Calculate measures of location (mean, median and mode) and the range for data represented in a variety of statistical displays, including frequency distribution tables, frequency histograms, stem-and-leaf plots and dot plots
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MA4-20SP
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Probability
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MA4-21SP
Represents probabilities of simple and compound events
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Probability 1
- Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167)
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Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168)
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Assign a probability of 0 to events that are impossible and a probability of 1 to events that are certain to occur
Examples
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Assign probabilities to simple events by reasoning about equally likely outcomes, eg the probability of randomly drawing a card of the diamond suit from a standard pack of 52 playing cards is 13/25 = 1/4
Examples
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Solve probability problems involving single-step experiments using cards, dice, spinners, etc
Examples
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Assign a probability of 0 to events that are impossible and a probability of 1 to events that are certain to occur
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Identify complementary events and use the sum of probabilities to solve problems (ACMSP204)
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Establish that the sum of the probabilities of all of the possible outcomes of a single-step experiment is 1
Examples
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Calculate the probability of a complementary event using the fact that the sum of the probabilities of complementary events is 1, eg the probability of 'rolling a 6' when rolling a die is 1/6, therefore the probability of the complementary event, 'not rol
Examples
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Establish that the sum of the probabilities of all of the possible outcomes of a single-step experiment is 1
- Probability 2
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Probability 1
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MA4-21SP