Learning aim B For Distinction standard , learners will evaluate the correct synthesis (combining
elements into a coherent entity) and accurate application of routine and non-routine
statistical, and probability operations using industry standard software to solve
problems. For example, they will tabulate grouped data and generate fully annotated
pie charts, bar charts and histograms. Learners will accurately calculate representative
values for central tendency and evaluate the usefulness of the values in relation to the
distribution of data. They will accurately calculate variance, standard deviation, range,
interquartile and inter-percentile values of normally distributed data and explain the
meaning of each. Learners will carry out a t-test on two sets of data and evaluate the
relevance of the result.
They will use experimental data to accurately determine the equation of linear
regression and correlation coefficient. They will compare the predicted value of the
dependent variable with the value obtained from the graph for a non-measured value,
in relation to the value of the correlation coefficient. They will justify the choice of
regression type for a non-linear relationship, such as a power relationship.
Overall, the evidence will be easily understood by a third party with a mathematical
background. There will be correct use of mathematical terminology and application of
relevant units. Learners will work to a specified numerical accuracy, as determined by
their assessor, or that is appropriate for solving their chosen problems, through the use
of appropriate significant figures or decimal places. Small and large numerical values will
be correctly presented in an appropriate format, i.e. mathematical notation or standard
form. All calculations will be fully documented and the reasons for the choice of method
will be given.