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Which List Is Which?

Age 14 to 16
Challenge Level Yellow starYellow star
Secondary curriculum
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Neeraj from Wilson's School noticed that sets A, D and E had more values greater than 70 than sets B, C and E.
 
 
Elliot from Wilson's School used the range:
 
I used the ranges of each set of data, to work out which sets go together. Alison's temperatures were more likely to have a greater range, whereas Charlie's data, on the weights of teenagers, is likely to have a small range. Therefore, I concluded that A, D and E, which have the largest ranges, were the temperatures, while B, C and F were the teenager's weights. 
 
Randolph and Ethan, both from the USA, and Jelle from the Netherlands used another measure of spread, the standard deviation of each set:

The standard deviations for each set (to 3 decimal places) are:
A: 10.826
B: 4.527
C: 5.756
D: 9.520
E: 10.742
F: 5.229

ADE belongs to Alison
BCF belongs to Charlie 
 
Finally, here is Niharika's solution which uses several different approaches.
 
 

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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