Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Which List Is Which?

Age 14 to 16
Challenge Level Yellow starYellow star
Secondary curriculum
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources


Which List is Which? printable sheet
 

Alison has been working with some weather data, a collection of average temperatures in Fahrenheit.

Charlie has also been working with data. His data set is a collection of teenagers' weights in kilograms.

They have been collecting samples of 40 data points to analyse. Unfortunately, they forgot to label their samples and can't work out which data come from which set.

Alison knows that set A came from her weather data, and Charlie remembers that set B is one of his weights samples. Can you work out which other lists belong to Alison, and which belong to Charlie?

The lists appear in the table below, and you can download them in a spreadsheet here.

A B C D E F
68 53 48 69 52 62
50 60 72 58 51 63
34 56 58 52 73 52
51 54 61 75 64 55
50 48 56 74 51 58
68 65 48 54 49 45
71 59 61 54 42 53
69 54 47 52 54 56
76 58 58 63 53 56
48 57 65 57 47 60
71 60 63 49 74 54
69 57 55 49 73 63
49 60 55 55 48 61
51 53 62 65 58 59
68 60 49 68 53 59
56 58 55 49 55 64
52 60 54 52 56 59
59 58 62 55 50 57
54 61 53 73 78 58
65 56 58 56 46 55
71 58 60 49 67 56
49 58 58 67 71 70
61 57 52 57 70 66
52 67 63 70 52 54
53 54 59 49 69 60
46 65 52 74 43 56
60 57 52 65 45 58
46 64 54 69 64 58
48 58 51 50 51 70
70 57 59 49 64 63
65 48 63 55 58 53
66 61 57 51 85 48
42 58 68 60 70 58
58 59 59 68 46 65
73 51 66 65 60 61
80 62 55 51 53 54
62 64 59 40 70 51
45 60 63 50 56 59
61 57 63 74 47 58
49 47 50 42 64 61
GeoGebra, which is free to download and use, includes a spreadsheet tool and can be used to create statistical diagrams that may be helpful for your analysis.

You may also like

Tree Tops

Can you make sense of information about trees in order to maximise the profits of a forestry company?

Cricket Ratings

Like all sports rankings, the cricket ratings involve some maths. In this case, they use a mathematical technique known as exponential weighting. For those who want to know more, read on.

History of Morse

This short article gives an outline of the origins of Morse code and its inventor and how the frequency of letters is reflected in the code they were given.

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

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.

University of Cambridge logo NRICH logo