Answer
Range = 25
Variance = 61.5
Standard Deviation = 7.8422
Work Step by Step
Range = Largest Value - Smallest Value
= 16-(-9) = 25
Mean = [ 5 + (-7) + 2 + 0 + (-9) + 16 + 10 + 7 ] / 8 = 3
x=5, x-µ = 5-3=2
x=-7, x-µ= -7-3=-10
x= 2, x-µ= 2-3 = -1
x=0, x-µ= 0-3 = -3
x=-9, x-µ= -12
x=16, x-µ= 13
x=10,x-µ = 7
x=7,x-µ = 4
Variance =$[ 2^{2}+ (-10)^{2}+(-1)^{2}+(-3)^{2}+(-12)^{2}+13^{2}+7^{2}+4^{2} ]/ 8$
= (4 + 100 + 1 + 9 + 144 + 169+ 49+ 16)/8
=61.5
Standard Deviation = $\sqrt 61.5 = 7.8422$
