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Can you find the value of the jewels?

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Average Discovery

Find the missing number if the mean, median and mode are all the same.

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Algebraic Average

The mean of three numbers x, y and z is x. What is the mean of y and z?

Sample

Age 14 to 16 Short Challenge Level:

Here are three populations:

      


An opportunity sample, a systematic sample and a random sample was taken from each.
Can you match the samples to the populations?


Opportunity samples (a convenient block of 9 squares was chosen):

      


Systematic samples (every 11th square was chosen to give a sample size of 9):

      


Random samples (9 squares were chosen at random):

      



You can find more short problems, arranged by curriculum topic, in our short problems collection.