Find the sample variance and standard deviation.
6, 52, 16, 51, 35, 23, 28, 28, 32, 26
1 answer:
Answer:
Sample variance is 199.79 and standard deviation 14.13
Step-by-step explanation:
Number of values: n=10
Mean: M=(6+52+16+51+35+23+28+28+32+26)/10
M=(297)/10→M=29.7
Sample Variance: v
v=[(6-29.7)^2+(52-29.7)^2+(16-29.7)^2+(51-29.7)^2+(35-29.7)^2+(23-29.7)^2+(28-29.7)^2+(28-29.7)^2+(32-29.7)^2+(26-29.7)^2]/(10-1)
v=[(-23.7)^2+(22.3)^2+(-13.7)^2+(21.3)^2+(5.3)^2+(-6.7)^2+(-1.7)^2+(-1.7)^2+(2.3)^2+(-3.7)^2]/(9)
v=[561.69+497.29+187.69+453.69+28.09+44.89+2.89+2.89+5.29+13.69]/(9)
v=[1,798.1]/(9)
v=199.7888888
v=199.79
Standard deviation: s
s=sqrt(v)
s=sqrt(199.7888888)
s=14.13466974
s=14.13
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