| IB SL - Statistics |
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| Data |
- Finding the mean, mode and median from tables.
- Finding the mean from a grouped frequency table, including using the GDC.
- Understanding of a population and a sample drawn from the population.
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| Cumulative frequency curves |
- Plotting cumulative frequency curves.
- Find median, quartiles and the inter-quartile range.
- Find percentiles from a cumulative frequency curve.
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| Box and whisker plots |
- Draw and interpret box and whisker plots.
- Appreciate the inter-quartile range as a measure of spread.
- Be able to compare box and whisker plots.
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| Mean and standard deviation |
- Appreciate the concept of standard deviation and variance as a measure of spread.
- Appreciate how the standard deviation is derived.
- Be able to calculate both the standard deviation and the mean of a grouped frequency table by use of a GDC.
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| Simple probability |
- Understand the term outcome.
- Write simple probabilities as either fractions or decimals.
- Understand the complement of a probability.
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| Combined events |
- Understand the terms OR and AND in relation to probability.
- Represent two events by use of a sample space.
- Use a tree diagram to represent more than one event taking place.
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| Conditional probability |
- Find conditional probability by use of a table.
- Conditional probability by use of a tree diagram.
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| Venn diagrams and set theory |
- Represent data by use of a Venn diagram.
- Use set notation correctly to make statements and shade Venn diagrams.
- Use Venn diagrams to solve probability questions.
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| Independent and mutually exclusive |
- Understand the terms independent and mutually exclusive.
- Use Venn diagrams, or formula to show events as independent or mutually exclusive.
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| Random probability distributions |
- Showing probability distributions in a table.
- Finding the expected value (E(x)) and the variance V(x) of a random probability distribution.
- Use a GDC to find the expected value (E(x)) and the variance V(x) of a random probability distribution.
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| Binomial distribution |
- Finding probabilities of binomials events.
- Finding the expected outcome (E(x)) and the variance (V(x)) of a binomial distribution.
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| Normal distribution |
- Standardizing data with a mean of 0 and a standard deviation of 1.
- Using the normal distribution tables to find probabilities and standardized values.
- Using a GDC to find probabilities and standardized values.
- Using the normal tables, and a GDC, to solve problems of normal distribution probabilities.
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