List

Being Resourceful - Statistics

In a box
problem
Favourite

In a box

Age
14 to 16
Challenge level
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Chris and Jo put two red and four blue ribbons in a box. They each pick a ribbon from the box without looking. Jo wins if the two ribbons are the same colour. Is the game fair?
Odds and Evens
problem
Favourite

Odds and evens

Age
11 to 14
Challenge level
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Are these games fair? How can you tell?
Two's company
problem
Favourite

Two's company

Age
11 to 14
Challenge level
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Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Cosy corner
problem
Favourite

Cosy corner

Age
11 to 14
Challenge level
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Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
Substitution Cipher
problem
Favourite

Substitution cipher

Age
11 to 14
Challenge level
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Find the frequency distribution for ordinary English, and use it to help you crack the code.
Which spinners?
problem
Favourite

Which spinners?

Age
14 to 18
Challenge level
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Can you work out which spinners were used to generate the frequency charts?
Sociable Cards
problem
Favourite

Sociable cards

Age
11 to 14
Challenge level
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Move your counters through this snake of cards and see how far you can go. Are you surprised by where you end up?
Last one standing
problem
Favourite

Last one standing

Age
14 to 16
Challenge level
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Imagine a room full of people who keep flipping coins until they get a tail. Will anyone get six heads in a row?
What does random look like?
problem
Favourite

What does random look like?

Age
11 to 14
Challenge level
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Engage in a little mathematical detective work to see if you can spot the fakes.
Perception versus reality
problem
Favourite

Perception versus reality

Age
14 to 18
Challenge level
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Infographics are a powerful way of communicating statistical information. Can you come up with your own?
Wipeout
problem
Favourite

Wipeout

Age
11 to 16
Challenge level
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Can you do a little mathematical detective work to figure out which number has been wiped out?
Box plot match
problem
Favourite

Box plot match

Age
14 to 16
Challenge level
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Match the cumulative frequency curves with their corresponding box plots.
Unequal Averages
problem
Favourite

Unequal averages

Age
11 to 14
Challenge level
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Play around with sets of five numbers and see what you can discover about different types of average...
m, m and m
problem
Favourite

M, M and M

Age
11 to 14
Challenge level
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If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?