# 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

## Quiz team conundrum

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.

Level
Level 2
Level 1
Maths
HD1/L2.4
HD1/L2.3
HD1/L1.4
HD1/L1.3
Functional Maths - handling information and data

## World Cup Ages (averages): answer sheet

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

Level
Level 2
Level 1
Maths
HD1/L2.4
HD1/L2.3
HD1/L1.4
HD1/L1.3
Functional Maths - handling information and data
Context
Sport and fitness

## What is a mean average?

An interesting meld of description, investigation, paired discussion and tasks.
Ideal introduction to L1 averages – also useful at high E3.

Level
Level 1
Maths
HD1/L1.3
Functional Maths - handling information and data
Context
Construction Carpentry Plumbing

## World Cup ages: mean median mode and range

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

Editor’s note (added October 14, 2015)
An answer sheet is now available here:

Level
Level 2
Level 1
Maths
HD1/L2.4
HD1/L2.3
HD1/L1.4
HD1/L1.3
Functional Maths - handling information and data
Context
Sport and fitness

## The way we weigh

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

Level
Entry Level 2
Entry Level 3
Level 1
Maths
MSS1/L1.4
MSS1/E3.8
MSS1/E3.6
MSS1/E3.5
MSS1/E2.10
MSS1/E2.9
MSS1/E2.6
HD1/L1.4
MSS1/E2.5
HD1/L1.3
Functional Maths - measures, shape & space

## The World of Weather

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.

Level
Entry Level 3
Level 1
Maths
MSS1/E3.9
N1/L2.1
N1/L1.2
MSS1/E2.8
HD1/L1.1
HD1/E3.1
HD1/L1.4
HD1/L1.3
Functional Maths - handling information and data
Functional Maths
Context
Leisure, Hobbies, Travel & Tourism

## House Price Investigation

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.

Level
Level 2
Level 1
Maths
HD1/L2.4
HD1/L2.3
HD1/L1.4
HD1/L1.3
Functional Maths - handling information and data
ICT
Functional Skills ICT: Finding and selecting information

## Data Collection and Averages - functional tasks

[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.

Level
Entry Level 3
Level 1
Level 2
Maths
HD1/L2.4
HD1/E3.1
HD1/L2.3
HD1/L1.4
HD1/L1.3
Functional Maths - handling information and data
Functional Maths
Context
Painting Decorating & DIY
Construction Carpentry Plumbing

## Multiple choice numeracy revision cards

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.

Level
Level 1
Maths
AN N1/L1.3
AN N1/L1.1 Place value to millions. < and > symbols
N1/L1.9
N1/L1.8
N2/L1.2
HD1/L1.4
N2/L1.10
N2/L1.1
AN N1/L1.7
HD1/L1.3
AN N2/L1.9 Find simple percentage parts of quantities and measurements

## Averages and range memory game

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

Level
Level 2
Level 1
Maths
HD1/L2.4
HD1/L2.3
HD1/L1.4
HD1/L1.3
General
Dyslexia support