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jmzcherry
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#1
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#1
Can someone please tell me how you find the sample distribution for the median of something. For example a large bag of counters,25% have 0 on them, 25% have a 2 on them and 50% have a one on them. Find the sampling distribution of the median.
Help is much appreciated!
Thanks
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BCHL85
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I wish I could help, but I totally forgot. I've just finished S2, but my S2 in my brain is blank . Need to revise.
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BCHL85
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Ah, you forgot something ... like size of the sample. Is it 3?
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jmzcherry
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(Original post by BCHL85)
Ah, you forgot something ... like size of the sample. Is it 3?
yes its 3!
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BCHL85
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(Original post by jmzcherry)
yes its 3!
Ok, if the sample size is 3, you'll get:
Code:
x :      0      1      2        
P(X=x)  1/4   1/2   1/4
            Median     Probability
(0,0,0) -     0        (1/4)^3
(0,0,1) -     0        (1/4)^2.(1/2).3 
(0,1,1) -     1        (1/4).(1/2)^2.3 
(0,1,2) -     1        (1/4).(1/2)(1/4).3  
(1,1,1) -     1        (1/2)^3
(1,1,2) -     1        (1/2)^2.(1/4).3 
(1,2,2) -     2        (1/2).(1/4)^2.3
(2,2,2) -     2         (1/4)^3
Then just plus probability for median m = 0, 1 and 2. Hope it works well.
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jmzcherry
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Cheers, the jigsaws now complete! Just did a paper and got 84%.....hopefully im ready for the big exam tomorrow!
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danmint
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you've forgotten the possibility of having median 0 when you get (0,0,2) or maybe im wrong? if i am then i'll fail tommorow :eek:
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