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Averages and Spread Calculating MEAN, MODE, MEDIAN, RANGE ©Mathematics Education Centre, Loughborough University.

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Presentation on theme: "Averages and Spread Calculating MEAN, MODE, MEDIAN, RANGE ©Mathematics Education Centre, Loughborough University."— Presentation transcript:

1 Averages and Spread Calculating MEAN, MODE, MEDIAN, RANGE ©Mathematics Education Centre, Loughborough University

2 Difficulties Need to remember – Definitions – Calculations – Context ©Mathematics Education Centre, Loughborough University

3 Strategies Use of colour Mnemonics Image of concept Physically doing calculations Visualization of performing calculations ©Mathematics Education Centre, Loughborough University

4 Terms MEAN MODE MEDIAN RANGE ©Mathematics Education Centre, Loughborough University

5 MEAN AVERAGE CONTEXT Heights Exam marks TERMS ©Mathematics Education Centre, Loughborough University A dd N umbers and Divide

6 MODE MOST CONTEXT Shoe manufacturers make shoes in sizes for most people TERMS ©Mathematics Education Centre, Loughborough University Occurs the MO ST

7 MEDIAN MIDDLE VALUE CONTEXT Comparing exam results – average doesn’t work if one or two do very well or very badly TERMS ©Mathematics Education Centre, Loughborough University M ID DLE of range

8 RANGE SPREAD CONTEXT Tells you the spread of a set of data – the lowest value and the highest value TERMS ©Mathematics Education Centre, Loughborough University Highest and lowest number

9 Example 5, 10, 3, 4, 4, 8, 4, 3, 11, 9, 5 Write onto post-its 510 34484 3 11 95 Arrange in sequence 5 10 3 44 8 43 1195 ©Mathematics Education Centre, Loughborough University

10 MEAN Add Numbers and Divide 5 10 3 44 8 43 119 5 3 + 3 + 4 + 4 + 4 + 5 + 5 + 8 + 9 + 10 + 11 Add numbers on post-its 11 post-its Divide by number of post-its 3 + 3 + 4 + 4 + 4 + 5 + 5 + 8 + 9 + 10 + 11 ÷ 11 ©Mathematics Education Centre, Loughborough University

11 MODE Occurs the MOST 5 10 3 44 8 43 119 5 THE MOST ©Mathematics Education Centre, Loughborough University

12 MEDIAN MIDDLE of range 5 10 3 44 8 43 119 5 Take away outer pairs 5 10 3 4 4 8 43 119 5 ©Mathematics Education Centre, Loughborough University

13 RANGE Highest and Lowest numbers 5 10 3 44 8 43 119 5 Lowest Highest ©Mathematics Education Centre, Loughborough University


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