Answer
mean = 9.7
standard deviation = 1.07
Work Step by Step
$8.2, 11.6, 8.7, 10.6, 9.4, 10.1, 9.3$
$8.2+11.6+8.7+10.6+9.4+10.1+9.3$
$67.9$
$67.9/7 = 9.7$
$(8.2-9.7)^2+(11.6-9.7)^2+(8.7-9.7)^2+(10.6-9.7)^2+(9.4-9.7)^2+(10.1-9.7)^2+(9.3-9.7)^2$
$(-1.5)^2+1.9^2+(-1)^2+(.9)^2+(-.3)^2+(.4)^2+(-.4)^2$
$2.25+3.61+1+.81+.09+.16+.16$
$8.08$
$8.08/7 = 1.15$
$\sqrt {1.15}=1.07$