FSMQ Level 3 (pilot) Data analysis scheme of work
Before starting this Advanced (Level 3) FSMQ, students should have acquired the skills and knowledge associated with the Statistics assessment objective of GCSE Mathematics, or with an Intermediate (Level 2) FSMQ in Data or equivalent. A suggested work scheme showing topic areas and methods to be covered is given below. The order and time allocations can be varied to suit different groups of students.
The assignments below could be used as classroom activities or homework, but will not be part of the AQA assessment of this FSMQ.
Topic area 
Content 
Nuffield resource 
Carrying out investigations (4 hours) 
Identify characteristics that are pertinent to investigations. Introduce and use statistical terms, including qualitative and quantitative data, primary and secondary data, discrete and continuous variables, population, representative, biased, random, and stratified samples. Discuss different methods of collecting data – the use of surveys (including questionnaires), observations and experiments. Include ideas associated with consistency, repeatability and variability between samples. (Note that the AQA FSMQ 'Data analysis' concentrates on the analysis of data which has already been obtained, rather than data that students collect themselves. Therefore time should not be spent on collecting data, but students should be aware of issues relating to the collection and use of data in real situations.) 
Results 
HE applications 

Football figures 

Parking permits 

Price at the pump 

Statistical diagrams (6 hours) 
Draw and interpret backtoback stem and leaf diagrams and histograms (including grouping of data). Describe the shape of distributions using terms such as symmetrical, skewed, multimodal. (Measures of skewness not required.) 

Histograms 

Graphic calculators 
Topic area 
Content 
Nuffield resource 
Statistical measures and further diagrams (8 hours) 
Find the mean (), mode, median, range, interquartile range and standard deviation of data (both and ) from a list and from a frequency table. Use a calculator to find , and _{ }(and also a spreadsheet if possible). Consider the effect of outliers. Draw and use a cumulative frequency graph to find the median, percentiles, upper and lower quartiles and interquartile range. Draw and interpret box and whisker plots. 
Casio calculators 
Pay rates for men and women 

Box and whisker plots 



Compare data sets (8 hours) 
Compare and contrast data sets using measures of location and spread and statistical diagrams. Justify choice of statistical diagrams and measures. 
Subject results 
Election results 

Football figures 

House prices 

Bivariate data (10 hours) 
Plot scatter diagrams of bivariate data, including the use of mean values and draw a line of best fit by eye. Discuss positive, negative, strong, weak and no correlation. Introduce the principle of least squares, regression lines and Pearson's product moment correlation coefficient (r). Use a calculator to find r and regression line coefficients and interpret the results. (Also include the use of a spreadsheet if possible.) Discuss the fact that correlation does not imply causation, that r is only a measure of linear correlation and that not all relationships are linear. 
DISCUSS regression and correlation 
Casio calculators
Graphic calculators 

Correlation 

Music Festival 

Anthropometric data 

Mammals (assignment) 

Module results 
Topic area 
Content 
Nuffield resource 
Normal distribution (10 hours) 
The use of theoretical probability distributions to model populations.
Features of a normal distribution, including: The standard normal distribution with mean 0 and standard deviation 1. Use of tables to find probabilities and expected frequencies. Use of tables in reverse calculations. 
Stature 
Pulse rates 

Health data 

DISCUSS Sampling 

Critical thinking (6 hours, could omit if short of time)

Examine statistical work produced by others with a questioning and critical approach. Consider the initial data and the statistical charts, graphs and measures that were used to analyse the data and the validity of any conclusions reached. 
Global warming (assignment) 
Revision (8 hours) 
Revise topics. Work through revision questions and practice papers. Discuss the data sheet  make up and work through questions based on it. 

Page last updated on 26 March 2012