Tuesday 4 December 2012

Week 7 - Not more charts and graphs!!!

This week is all about some of the charts and graphs we can use for interpreting data and statistical measures. We will look at cumulative frequency graphs and polygons and use them to estimate medians and quartiles. We will use box and whisker plots to compare distributions. We will plot scatter graphs for bivariate data, estimate their lines of best fit and interpolate and extrapolate results from the graphs. Finally we will learn how to calculate and interpret correlation coefficients for bivariate data.
This content is Sections E and F of the scheme of work, which is pretty much finishing off parts 3.1.3 and a bit of 3.1.4 of the specification.
To download the presentation click here, and to download this week's exercises click here.

Two stick figures discussing correlation and causality
Chances are, you don't get it. That just means you have to study harder...
Strip from xkcd.com

Tuesday 27 November 2012

Week 6 - Quick! Disperse!

This week is all about measures of dispersion. Most of the work is about measuring the spread of data from the average. We will calculate, ranges, quartiles, interquartile ranges and standard deviations for a variety of data. This section also covers Normal distributions, measuring and interpreting skewness and standardised scores.
The material covers the second part of Section E of the scheme of work, which is the second block of elements of 3.1.4 of the specification.
The exercises this week are the same as last week, only instead of calculating modes, medians and means you should calculate ranges, quartiles (and IQR) and standard deviations.
This week there is an ink exercise. This is a proper piece of homework and will have to be handed in next week. Click the link to download the exercise, Statistics Exercise.
Click to download the presentation and a copy of last week's exercises.

A probability density function for a Normal distribution with marked standard deviations and prcentages under the curve.
There's no such thing as an interesting or funny picture about standard deviation, so here's a Normal distribution curve instead...

Tuesday 20 November 2012

Week 5 - Moving towards the centre

This week is all about measures of location (working out averages for the statistically-challenged). Most of the work covers an understanding of means, medians and modes and how and when they should be used. There is also content covering the calculation of means from frequency tables and the estimation of means from frequency tables with class intervals.
This material covers the first part of Section D of the scheme of work, which is the very first elements of 3.1.4 of the specification.
Click to download the presentation and the exercises.
Man falling in a deep part of a pool with average depth 3 feet
Technically, a flaw of the mean. If he'd calculated the median depth...
Cartoon by Jeff Danziger

Tuesday 13 November 2012

Week 4 - Charting the Data

This week is all about drawing pretty graphs! The post is a bit late but you'll need maths instruments for some of the work (a ruler, pair of compasses and a protractor). We'll look at different kinds of diagrammatic representations and when to use them, we'll consider the nature of misleading diagrams and we'll pick out data and results from graphs.
All of this stuff finishes off the 3.1.3 section of the specification (graphical presentation of data).
Click to download the presentation and the exercises.

Official UK Top 40 Singles Chart Logo
This is probably the wrong type of chart as well...

Tuesday 6 November 2012

Week 3 - Tabling the Answers

This week is principally about tabulation. This should be a fairly straightforward topic with most of the content already covered in KS3. We'll be looking at tally charts, frequency and grouped frequency tables, two-way tables and stem and leaf diagrams. Time permitting we'll also get started on graphical presentation, but no promises...
The content covers all of the tabulation elements in 3.1.3 of the specification as well as touching on some of the diagrammatic representation elements.
Download or view the presentation; the sample data for the classwork and the homework sheet.

A wooden table against a green wall
Probably not the right sort of table...

Tuesday 30 October 2012

Week Two - Asking Appropriate Questions

This week is mainly about surveying and questionnaire design and builds on the sampling concepts we covered last week.
The topics covered from the specification are almost all in section 3.1.2e (Conducting a survey/experiment), although some of the concepts from 3.1.1 (Planning a strategy) and the other areas of 3.1.2 (Data Collection) are re-visited or expanded.
Download the presentation and the homework exercises
Picture of check boxes and a pen

Tuesday 23 October 2012

Week One - And They're Off!

This is the first week. I'm going to do a brief intro to statistics and research methods and then cover (at some length) data types and data sampling methods. The elements of the specification this should cover are:
  • most of element 3.1.1 Planning a Strategy
  • element 3.1.2a Types of Data
  • element 3.1.2b Obtaining Data
  • element 3.1.2c Census Data
  • element 3.1.2d Sampling
You can download the presentation and the homework exercises
Image from "Manga Guide To Statistics", Shin Takahashi, 2008