Statistics and Mechanics Year 1

1.1 Populations and samples

1.2 Sampling

1.3 Non-random sampling

1.4 Types of data

1.5 The large data set

2.1 Measures of central tendency

2.2 Other measures of location

2.3 Measures of spread

2.4 Variance and standard deviation

2.5 Coding

3.1 Outliers

3.2 Box plots

3.3 Cumulative frequency

3.4 Histograms

3.5 Comparing data

4.1 Correlation

4.2 Linear Regression

5.1 Calculating probabilities

5.2 Venn diagrams

5.3 Mutually exclusive and independent events

5.4 Tree diagrams

6.1 Probability distributions

6.2 The binomial distribution

6.3 Cumulative probabilities

7.1 Hypothesis Testing

7.2 Finding critical values

7.3 One-tailed tests

7.4 Two-tailed tests

8.1 Constructing a model

8.2 Modelling assumptions

8.3 Quantities and units

8.4 Working with vectors

9.1 Displacement-time graphs

9.2 Velocity-time graphs

9.3 Constant acceleration formulae 1

9.4 Constant acceleration formulae 2

9.5 Vertical motion under gravity

10.1 Force diagrams

10.2 Forces as vectors

10.3 Forces and acceleration

10.4 Motion in 2 dimensions

10.5 Connected particles

10.6 Pulleys

11.1 Functions of time

11.2 Using differentiation

11.3 Maxima and minima problems

11.4 Using integration

11.5 Constant acceleration formulae