from The Open University
Alternatively you can skip the navigation by pressing 'Enter'.
Shakespeare Speaks: All that glistens is not goldFriday, 5th February 2016 12:00 - BBC iPlayerWilliam Shakespeare’s daughter gets a shock when her finger turns green - and Will takes the opportunity to teach her... Read more: Shakespeare Speaks: All that glistens is not gold
More or Less: E-cigs, politics, school and birthdaysFriday, 5th February 2016 16:30 - BBC Radio 4
The Bottom Line: Winter 2015-16: Renewable EnergySaturday, 6th February 2016 17:30 - BBC Radio 4
More or Less: E-cigs, politics, school and birthdaysSunday, 7th February 2016 20:00 - BBC Radio 4
The Bottom Line: Winter 2015-16: Renewable EnergyAvailable for over a yearThis week The Bottom Line looks at the economics of renewable energy. Read more: The Bottom Line: Winter 2015-16: Renewable Energy
Thinking Allowed 2016: Consumerism, Work-life balanceAvailable for over a year
The London Markets: The Meat Market: Inside SmithfieldAvailable until Saturday, 5th March 2016 00:13
Thinking Allowed 2016: The Creative Economy, 'Grudge' SpendingAvailable for over a year
Six Nations 2016With the Six Nations here it's time to 'try' learning more about rugby with our fantastic range... Read more: Six Nations 2016
OpenLearn Live: 5th February 2016A tribute from one poet to another, and a mouse who made a bad choice. Then more free learning... Read more: OpenLearn Live: 5th February 2016
Discovering Wales and Welsh: first stepsThis free course, Discovering Wales and Welsh, introduces you to who the Welsh people are via a... Try: Discovering Wales and Welsh: first steps now
Introduction to bookkeeping and accountingLearn about the essential numerical skills required for accounting and bookkeeping. This free... Try: Introduction to bookkeeping and accounting now
This free course, Prices, looks at a wide variety of ways of comparing prices and the construction of a price index. You will also look at the Retail Price Index (RPI) and the Consumer Price Index (CPI), indices used by the UK Government to calculate the percentage by which prices in general have risen over any given period. You will also look at the important statistical and mathematical ideas that contribute to the construction of a price index.
After studying this Unit you should be able to:
- calculate the mean, weighted mean and the median of a batch of numbers;
- calculate a percentage and a percentage price increase;
- use a weighted mean to find an average percentage price increase (given the weights);
- use the statistical facilities of your calculator to find the mean, the median and (given the weights) the weighted mean of a batch of numbers;
- calculate a percentage price increase and a price ratio from a price index;
- use price ratios to calculate values of a price index;
- calculate the RPI and the CPI given the relevant information;
- describe the likely effect of particular price changes on the value of the RPI or CPI;
- use the RPI and/or the CPI to calculate the annual rate of inflation, the value of an index-linked pension and the purchasing power of the pound at one date compared with another;
- read and interpret data from a table, a graph or a diagram;
- understand the distinction between relative and absolute comparisons;
- understand the terms ‘ratio’, ‘proportion’ and ‘similar’, and use them appropriately;
- discuss the strengths and weaknesses of using words, tables, graphs and diagrams to present information;
- explain a familiar mathematical idea in your own words;
- understand the meaning of expressions such as Σ x and Σxw and use them.
- You should also be able to use your calculator to:
- clear exisitng data lists;
- enter data into lists and edit the data;
- find the median and the mean of a batch of data;
- find the mean of a batch of frequency data;
- find the weighted mean of a batch of data (with given weights);
- produce simple sequences of numbers.
- Current section: Introduction
- Learning outcomes
- 1. Politicians and journalists
- 1.1: Introduction
- 1.2: Are we getting better off?
- 1.3: A statistical interlude—averages
- 1.4: Price ratios and price indices
- 1.5: The UK Government price indices
- 1.6: Using the price indices
- 1.7: Some mathematical themes
- 1.8: Summary
- Keep on learning
Study this free course
Enrol to access the full course, get recognition for the skills you learn, track your progress and on completion gain a statement of participation to demonstrate your learning to others. Make your learning visible!
This Unit looks at a wide variety of ways of comparing prices and the construction of a price index. You will look at the Retail Price Index (RPI) and the Consumer Price Index (CPI), indices used by the UK Government to calculate the percentage by which prices in general have risen over any given period. You will also look at the important statistical and mathematical ideas that contribute to the construction of a price index.
In order to complete this Unit you will need to have obtained a Texas Instruments TI-83 calculator and the book Tapping into Mathematics With the TI-83 Graphics Calculator by Barrie Galpin and Alan Graham (eds), Addison Wesley, 1997 (ISBN 0201175479). This is referred to throughout the Unit as the Calculator Book.
This unit is from our archive and is an adapted extract from Open mathematics (MU120) which is no longer taught by The Open University. If you want to study formally with us, you may wish to explore other courses we offer in.
This free course includes adapted extracts from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education courses or view the range of currently available OU Mathematics Education courses.
Copyright & revisions
Originally published: Friday, 29th July 2011
Last updated on: Monday, 15th October 2012
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements and our FAQs section.
- This site has Copy Reuse Tracking enabled - see our FAQs for more information.
If you enjoyed this, why not follow a feed to find out when we have new things like it? Choose an RSS feed from the list below. (Don't know what to do with RSS feeds?)
Remember, you can also make your own, personal feed by combining tags from around OpenLearn.
All our alternative formats are free for you to download, for more information about the different formats we offer please see our FAQs. The most frequently used are Word (for accessibility), PDF (for print) and ePub and Kindle to download to eReaders*.
*Please note you will need an ePub and Mobi reader for these formats.