# Math Help - [SOLVED] Simple Population Sampling

1. ## [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!

2. 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.

3. 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?

4. 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).

5. 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!

6. 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.

7. 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!

8. 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.

9. Okay, thanks for your help