Statistical measures (8300 - Higher - Statistics)

Topic:

Statistical measures

Specification references (in recommended teaching order)

	Specification content	Specification notes
S4	Interpret, analyse and compare the distributions of data sets from univariate empirical distributions through: appropriate measures of central tendency (median, mean, mode and modal class) spread (range, including consideration of outliers, quartiles and inter-quartile range)	students should know and understand the terms: primary data, secondary data, discrete data and continuous data
S5	Apply statistics to describe a population
S1	Infer properties of populations or distributions from a sample, whilst knowing the limitations of sampling

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

Diagnostic Questions - statistical measures 1

AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.25/07/2017

Diagnostic Questions - statistical measures 2

AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification.25/07/2017

Diagnostic Questions - statistical measures 3

AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Math specification.25/07/2017

Activity S5: Interpreting bar charts, pie charts and box and whisker plots

A card sort activity in which students compare different diagrammatical representations of distributions. (Note: box and whisker plots are higher tier only.) 04/08/2015

Activity S6: Interpreting frequency graphs, cumuative frequency graphs, box and whisker plots

A card sorting activity in which frequency graphs, cumulative frequency graphs, box plots and descriptive statements are grouped together into matching sets.04/08/2015

Measures of average in grouped data

An introduction to how to find estimates for the mean, median and mode for grouped data.04/08/2015

Activity S5: Interpreting bar charts, pie charts and box and whisker plots

A card sort activity in which students compare different diagrammatical representations of distributions. (Note: box and whisker plots are higher tier only.) 04/08/2015

Activity S6: Interpreting frequency graphs, cumuative frequency graphs, box and whisker plots

A card sorting activity in which frequency graphs, cumulative frequency graphs, box plots and descriptive statements are grouped together into matching sets.04/08/2015

CIMT: Cumulative Frequency

An introduction to cumulative frequency graphs and reading off quartiles, followed by an online exercise.04/08/2015

Discrete vs Continuous

A powerpoint introduction to what is meant by discrete and continuous data, followed by an associated card sorting exercise. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Larks and Owls

An open ended investigation in which students design their own hypothesis and collect data which is then processed using calculation and graphs to form a conclusion.04/08/2015

Quiz Trade Median Quartiles

A classroom activity in which students find the median and quartiles for given frequency distributions using laminated two-sided cards. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Sampling Techniques

Students consider a range of sampling methods and decide which method would be best in a wide range of scenarios and how the sampling methods described might be improved. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Comparing distributions using averages

Classroom activities involving calculations of the mean, median, mode and range to compare and contrast two sets of data. Includes a comparison of which type of average is most suitable when. You will need to register for a TES account to access this resource, this is free of charge. 04/08/2015

Statistical measures - Homework Sheet and Mark Scheme

Downloadable resource in doc format. 08/02/2010

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