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
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.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.