Statistics 1
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Topic and Chapter
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Time (weeks)
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Objectives
These objectives relate to the main text objectives at the start of each chapter from the Heinemann text books.
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Worthy of Note
These 'worthy of notes' are teacher observations that are worthy of a moment's thought.
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Tasks
Any additions that teachers may feel are worthy of inclusion into the main scheme of work.
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Introduction to Statistics
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- Identify different types of variables, primary and secondary data.
- Understand terms population, sample, parameter and statistic.
- Understand the concept of a simple random sample.
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Numerical Measures
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2
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- Calculate the mode, median and mean.
- Calculate the standard deviation, variation, range and interquartile range.
- Use statistics to compare sets of data.
- Select numerical measures appropriate to circumstances
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- Calculate mode, mean and median
C2, pages 8 - 16
- Use range, interquartile range and percentiles
C2, pages 17 - 19
- Calculate and use standard deviation
C2, pages 19 - 26
- Introduce scaling of measures; compare data sets
C2, pages 26 - 31
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| Probability
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2
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- Understand the concept of probability
- Identify mutually exclusive events and independent events
- Apply the additive 'and' law to mutually exclusive events
- Apply the multiplicative 'or' law to independent events
- Apply the conditional probability law to events which are not independent
- Use simple tree diagrams to solve probability problems
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- Calculate the probability of equally likely events; identify exclusive and independent events
- C3, pages 33 - 36
- Introduce the language of probability
- C3, pages 36 - 40
- Use tree diagrams to calculate probability
- C3, pages 40 - 43
- Introduce conditional probability
- C3, pages 43 - 45
- Introduce the addition laws of probability
- C3, pages 45 - 48
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| Binomial Distribution
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3
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- Recognise when to use the Binomial Distribution
- Recognise and state any assumptions necessary in order to use the Binomial Distribution
- Apply the Binomial Distribution to real life problems
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- Define the binomial distribution; introduce binomial coefficients
- C4, pages 57 - 63
- Using the algebraic form of the binomial distribution; binomial tables
- C4, pages 64 - 68
- Creation of the binomial model and worked problems
- C4, pages 72 - 78
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| The Normal Distribution
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3
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- Use tables, or other, to find probabilities using the Normal Distribution
- Use tables, or other, of percentage points of the Normal Distribution
- Understand the meaning of distribution of the sample mean
- Find probabilities using the sample mean
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- Introduce the conditions to use the Normal Distribution
- C5, pages 81 - 85
- Standardising normal varables
- C5, pages 86 - 92
- Modelling data using the normal distribution
- C5, pages 93 - 95
- Model data using the Central Limit Theorem
- C5, pages 95 - 104
- Modelling data
- C5, pages 95 - 104
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| Confidence Intervals
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2
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- Calculate a confidence interval for the mean of a Normal Distribution with a known standard deviation
- Calculate a confidence interval for the mean of any distribution from a large sample
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- To determine a confidence interval of the mean, s.d. known
- C6, pages 106 - 111
- Use confidence intervals based on a large sample
- C6, pages 112 - 123
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| Correlation
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3
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- Investigate the strength of relationship between two variables
- Evaluate and interpret the product moment correlation coefficient
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- To understand correlation and be able to use the PMCC
- C7, pages 124 - 131
- Limits of correlation and worked problems
- C7, pages 131 - 144
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| Regression
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2
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- Find the equation of regression lines
- Interpret the gradient and coefficients of the gradient line equation
- Plot a regression line on a scatter diagram
- Calculate residuals and the fit of the regression line
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- Using and plotting a regression line
- C8, pages 148 - 149
- Residuals and predictions using the regression line
- C8, pages 149 - 164
- Predictions using regression
- C8, pages 149 - 164
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