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median values

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median values

by cmr209 » Sun Aug 16, 2009 1:13 am
If 0 < x < 1, what is the median of the values x, x^-1 , x^2 , &#8730;x , and x^3


A x

B x^-1

C x^2

D &#8730;x

E x^3

Unsure of this one.
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Re: median values

by Morgoth » Sun Aug 16, 2009 3:22 am
if 0< x< 1

we can arrange the sequence in the ascending form

x^3 < x^2 < x < sqroot x < x^-1

median = middle value = x

If you are unsure of the sequence, just plug in x= 1/4


1/64 < 1/16 < 1/4 < 1/2 < 4

Hence A.

Hope this helps.
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by cmr209 » Sun Aug 16, 2009 11:53 pm
Ahh, simple.
Thank you! As you can see I have a ways to go.
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