# HD1/L1.3

Find the arithmetical average (mean) for a set of data.

(a) Know that the mean is one sort of average (the most common)

(b) Know that the mean is worked out by adding up the items, and dividing by the number of items

(c) Understand that the mean can give a 'distorted average' if one or two values are much higher or lower than the other values, e.g. the mean salary or wage in a company can be distorted by one or two very high salaries

This is a data handling activity aimed at L1/2 learners that involves calculating the mean and range, constructing a bar chart and then making sense of what the results mean in a functional context.

More observant learners may rename this activity ‘Sophie’s choice’!

**Graph or squared paper is needed for question 3.**

A very useful answer sheet (in Excel) for the World Cup ages: mean median mode and range resource from Hamid Hamitoglu.

An interesting meld of description, investigation, paired discussion and tasks.

Ideal introduction to L1 averages – also useful at high E3.

Adapted from one page of Nikki Gilbey’s **Data Collection and Averages – functional tasks** (listed below under **See also**).

A useful introductory PPT and accompanying team data sheets for covering L1-2 statistics.

[img_assist|nid=5698|title=|desc=|link=popup|align=left|width=100|height=79]

**Editor’s note** (added October 14, 2015)

An answer sheet is now available here:

http://www.skillsworkshop.org/resources/world-cup-ages-averages-answer-…

Functional Skills maths across several levels.

A practical exercise involving estimation (of weight), weighing items and calculating range and mean.

**Editor’s note**

With detailed Functional Maths mapping

A data chart of average monthly high and low temperatures for a selection of world cities is used to answer functional maths questions.

Skills tested include accuracy of reading data, ordering positive and negative numbers, calculating the mean and range of data including negative numbers.

There is a tricky anagram to finish off the worksheet, which will appeal to some leaners who like puzzles and wordskills.

The chart could be used separately and many other questions devised from the information it contains.

Mean, Mode, Median and Range: Investigation into house prices.

Students use www.rightmove.co.uk to explore house prices in areas of their choice. For example pairs of students could explore house prices in different cities in the UK.

They will need access to computers. You will also need to establish criteria before they start to collect their data so that like for like houses are being compared. For example all of the groups are to compare prices of 2 bedroom flats in the cities of their choice.

[img_assist|nid=5329|title=|desc=|link=popup|align=left|width=100|height=70]A set of differentiated tasks for construction students. I used the E3-L1 task with my Entry to L1 group and then the more challenging task with my L1-L2 students.

The use of measure is aways useful for my students as it is something they need to practise constantly given their vocational areas. The lesson was enjoyed by all, especially the hands-on measuring task prompted lots of fun and discussion. Encourage students to get others to check their measurements and validate their results.

Five wonderful sets of multiple choice revision questions covering Level 1 ratio, mean & range, fractions, percentages, and number (mostly place value & rounding). Each set consists of 9 cards and is individually mapped to the numeracy curriculum.

Cut up into cards and use as required. Use individual sets for targeted revision or mix with other sets of cards for general revision.

A really unusual, fun and effective way to reinforce and revise mean, mode, median and range. With extensive teacher notes and differentiation ideas.