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Find the sample variance and standard deviation.

6​, 52​, 16​, 51​, 35​, 23​, 28​, 28​, 32​, 26

User Tanya
by
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1 Answer

3 votes

Answer:

Sample variance is 199.79 and standard deviation 14.13

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

User Onera
by
8.9k points

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