[SOLVED] Simple Population Sampling

• Apr 11th 2010, 06:44 AM
unstopabl3
[SOLVED] Simple Population Sampling
Q) Draw all possible samples of size two without replacement from the population

1,1,2,3,4,4,5

I recently started studying basic statistics on my own. Can someone please guide me how to solve this?

Thanks!
• Apr 12th 2010, 01:54 AM
mr fantastic
Quote:

Originally Posted by unstopabl3
Q) Draw all possible samples of size two without replacement from the population

1,1,2,3,4,4,5

I recently started studying basic statistics on my own. Can someone please guide me how to solve this?

Thanks!

Pick a number from the population. Now pick another. There's a sample of size two. Now do it again but make sure that the sample is different. Now do it again etc.
• Apr 12th 2010, 02:13 AM
unstopabl3
Thanks for the quick reply, so this means that everytime I can only make a combination of two right? Example I choose (1,1) at first, so for my second choice I can only choose from 2,3,4,4,5 right?
• Apr 12th 2010, 02:21 AM
mr fantastic
Quote:

Originally Posted by unstopabl3
Thanks for the quick reply, so this means that everytime I can only make a combination of two right? Example I choose (1,1) at first, so for my second choice I can only choose from 2,3,4,4,5 right?

No. It means that you choose from 1,1,2,3,4,4,5 again but you need a pair that is different to (1, 1).
• Apr 12th 2010, 02:33 AM
unstopabl3
So the possible combination would be

(1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (2,3) , (2,4), (2,5) , (3,4) ,(3,5) , (4,4) , (4,5) , (5,5)

I've left out similar figures like 1,1 and 1,2 / 2,1 as I think 1,2 and 2,1 are same things no?

Thanks!
• Apr 13th 2010, 06:52 PM
mr fantastic
Quote:

Originally Posted by unstopabl3
So the possible combination would be

(1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (2,3) , (2,4), (2,5) , (3,4) ,(3,5) , (4,4) , (4,5) , (5,5)

I've left out similar figures like 1,1 and 1,2 / 2,1 as I think 1,2 and 2,1 are same things no?

Thanks!

Depending on whether ordering is important or not (and your question did not make that clear) (1, 2) and (2, 1) might or might not be different pairs.
• Apr 14th 2010, 12:10 AM
unstopabl3
That's the exact question which came in a previous years exam. So if the question is ambiguous like this then what is the best way to proceed?

Thanks!
• Apr 14th 2010, 12:48 AM
mr fantastic
Quote:

Originally Posted by unstopabl3
That's the exact question which came in a previous years exam. So if the question is ambiguous like this then what is the best way to proceed?

Thanks!

In that case, the best way to proceed would be to ask your teacher what is the best way to proceed.
• Apr 14th 2010, 04:18 AM
unstopabl3
Okay, thanks for your help ;)