Answer
$0.15\%$
Work Step by Step
$|\frac{100-148}{16}|=3$, thus these are $50\%$ minus half of the elements that are $3$ standard deviations away from the mean.
Thus according to the $68–95–99.7$ Rule, $50\%-(99.7\%/2)=0.15\%$ of people are within the given range.