Statistics

Brief Introduction: Statistics is the branch of mathematics that deals with the collection, analysis and interpretation of data.  In studying statistics, a wide range of job opportunities are available.

A statistician may:

  • Consult in the design, analysis and evaluation of clinical studies for pharmaceutical companies
  • Design experiments for agricultural, ecological, environmental or energy-related studies
  • Investigate mortality and accident rates for insurance companies
  • Derive opinion polls for a public relations firm or television network
  • Work with psychologists to develop theories relating to learning and behaviour
  • Evaluate the performance of combinations of chemicals in industry
  • Conduct reliability and quality control evaluations in a variety of industries
  • Develop time series and forecasting models for different socio-economic sections of society

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Areas of Study

In years 7 to 9 statistics is studied as part of the main provision for mathematics (see information on mathematics curriculum)

 

Autumn Term Spring Term Summer Term
Year 10

 

 

Planning a strategy

Data collection: types of data, obtaining data, census data, sampling, conducting a survey/experiment

Tabulation for ungrouped and grouped data

Graphs for qualitative data (pie charts and comparative pie charts)

Graphs for qualitative data (pie charts and comparative pie charts)

Graphs for quantitative discrete data (vertical line graphs)

Graphs for quantitative continuous data (frequency polygons, population pyramids, histograms with equal and unequal class intervals)

Measures of averages (arithmetic mean, geometric mean, median, mode, and estimates from grouped data)

Measures of spread (range, quartiles, inter-quartile range, inter-decile and inter-percentile range, standard deviation and variance, types of distribution, normal distribution, skew, and standardised scores)

Year 11

 

 

Cumulative frequency curves and polygons, and box and whisker plot (drawing, estimating median, quartiles, IQR, deciles, inter-decile range and percentiles)

Scatter graphs (plotting, drawing line of best fit using double-mean point, correlation, Spearman’s correlation coefficient, interpreting Product Moment correlation coefficient, interpolation and extrapolation, calculation of the equation of the line of best fit)

Time series (graph, moving averages, trend line, seasonal effect, z-charts, output gap charts

Remaining calculations and graphing methods (chloropleth maps, transforming data from one presentation to another, index number, chain base numbers, RPI, CPI, crude rates and standardised rates)

Probability (compound events, sample space diagrams, Venn diagrams, tree diagrams, conditional probability, expected frequencies)

 

Controlled Assessment

Revision and time to cover topics identified as weaker areas from Y11 mock examination

 

Assessment

During formal assessment periods during year 10 and year 11, students will complete a past paper examination. Each term throughout year 10, and the autumn term of year 11, students will complete a practise controlled assessment. Teachers will also use end of unit assessment and homework to track progress.

 

Firefly/Extended Learning

Extended learning activities are set as according to the school policy, through the school’s virtual learning environment (VLE) Firefly. This way all tasks can be viewed by students and their parents/carers. We encourage daily use of Firefly with students regularly clearing completed tasks on the ‘Your Tasks’ section of their profile to maintain good organisation.

In addition to this Firefly also contains useful information and support material. Details about equipment, suitable calculators and assessment dates are kept up to date on the Mathematics pages.