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Maximum Scattering

Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?

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David and Goliath

Does weight confer an advantage to shot putters?


Age 16 to 18 Challenge Level:

If the number of candidates who scored 100 was as high as possible, given that the mean is 60, then the standard deviation will be high.

If you reduce the standard deviation then you cut down the number who could have scored 100. Work with the formula for the standard deviation and consider the contribution to that calculation from the top scores of 100 but don't forget the other candidates.