This module looks at numerical skills and data analysis and presentation.
Maths Revision
Revision of basic mathematical concepts including numerical skills, calculations.
SYLLABUS CONTENT: Data Collection and Organisation
Tallies. Frequency tables. Histograms and frequency curves: various patterns and their causes, normal, skew, truncated, bimodal. Time series plots: random variation, trend, shift, cyclical variation. Population and sample. Sampling techniques.
Summary Statistics
Mean, median and mode. Range, variance, standard deviation, coefficient of variation. Degrees of freedom.
Probability
Definitions of probability. Calculating probabilities. Combinations. Composite events involving mutually exclusive and independent events. Applications in reliability.Probability distributions: binomial, Poisson and normal.
Sampling and Estimation
The addition of variances. The central limit theorem. Point estimates and confidence interval estimates of population means. Student’s t distribution. Approximate confidence intervals for population proportions.
Hypothesis Testing
The reasoning behind a hypothesis test. Hypothesis testing procedure. Tests of population means: one-sample z-test and one-sample t-test. Tests of population proportions. Non-parametric testing: the sign test.
Regression and Correlation
Scatterplots. Correlation coefficient. Coefficient of determination. Regression equation. Prediction: interpolation and extrapolation. The method of least squares. Use of software and interpretation of software output.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Other Assessment(s) | 40 |
| Formal Examination | 60 |