eNRICHing Handling Data Bromley February 2015

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Presentation transcript:

eNRICHing Handling Data Bromley February 2015

M, M and M Can you find five positive whole numbers that satisfy the following properties: Mean = 4 Mode = 3 Median = 3 Rationale: Working collaboratively in pairs. The answer is not immediately obvious, so students can be invited to convince each other, highlighting the importance within the mathematical community of explaining and justifying your ideas to others. Convince yourself…

Mean = Mode = Median = Range 4, 6, 7, 7, 11 Can you find other sets of five positive whole numbers that satisfy the following properties: Mean = Mode = Median = Range Rationale: Working collaboratively in pairs. The answer is not immediately obvious, so students can be invited to convince each other, highlighting the importance within the mathematical community of explaining and justifying your ideas to others. Convince yourself…

Four positive whole numbers? Six? Can you find five positive whole numbers that satisfy the following properties: Mode < Median < Mean Mode < Mean < Median Mean < Mode < Median Mean < Median < Mode Median < Mode < Mean Median < Mean < Mode Four positive whole numbers? Six? Rationale: Working collaboratively in pairs. The answer is not immediately obvious, so students can be invited to convince each other, highlighting the importance within the mathematical community of explaining and justifying your ideas to others. Convince yourself…

Odds and Evens If the total is even, you win. If the total is odd, you lose. Is this a fair game? Rationale: Working collaboratively in pairs. The answer is not immediately obvious, so students can be invited to convince each other, highlighting the importance within the mathematical community of explaining and justifying your ideas to others. Convince yourself… How many fair games can you produce?

Wipeout One of the numbers from 1 2 3 4 5 6 is wiped out. The mean of what is left is 3.6 Which number was crossed out? One of the numbers from 1 2 3 4 5 6 7 is wiped out. The mean of what is left is 4 Which number was crossed out? Extension: One of the numbers from 1 to N, where N is an unknown even number, is wiped out. The mean of what is left is a whole number. Which numbers could have been crossed out? Can you explain why? Rationale: Working collaboratively in pairs. The answer is not immediately obvious, so students can be invited to convince each other, highlighting the importance within the mathematical community of explaining and justifying your ideas to others. Convince yourself…

Handling Data collection http://nrich.maths.org/8760 Rationale: Working collaboratively in pairs. The answer is not immediately obvious, so students can be invited to convince each other, highlighting the importance within the mathematical community of explaining and justifying your ideas to others. Convince yourself…