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Friday 25 September 2015

Equal Averages

There are several different notions of average: the mean, the median, the mode and the range (see below for the definitions). If you work out each of these statistics for the set of numbers 2, 5, 5, 6, 7, you'll notice something interesting — they are all equal to 5!
Can you find other sets of five positive whole numbers where mean = median = mode = range?
How many sets of five positive whole numbers are there with mean = median = mode = range = 100?
This puzzle comes from the NRICH site.

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