This problem offers you two ways to test reactions - use them to investigate your ideas about speeds of reaction.
How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?
Does weight confer an advantage to shot putters?
Invent a scoring system for a 'guess the weight' competition.
Your data is a set of positive numbers. What is the maximum value that the standard deviation can take?
Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?