Answer
27.4% of the students had scores between 20 and 25.
Work Step by Step
$(20-25.3)/6.5 \lt z \lt (25-25.3)/6.5$
$-5.3 /6.5 \lt z \lt -.3/6.5$
$-.815 \lt z\lt -.046$
z-value for -.82 = .2061
z-value for -.05 = .4801
$.4801 - .2061 = .274$