Answer
Higher standard deviations produce values that are further from the mean.
Work Step by Step
$IQ_{mean}=μ=100$ and $IQ_{standard~deviation}=σ=15$
$145-100=45=3σ$
According to the Empirical Rule, 99.7% of the IQ of humans will be between $μ-3σ=100-3\times15=55$ and $μ+3σ=100+3\times15=145$. Due to the symmetry of a bell shaped distribution, only 0.15% will have an IQ equal to or greater than 145. But, if the standard deviation IQ for men is greater than 15 and the standard deviation IQ for women is less than 15, it will be easier to find a man with an IQ equal to or greater than 145, but it will be very rare to find a woman with an IQ equal or greater than 145.
