Posted by **ash** on Sunday, November 21, 2010 at 9:00pm.

hi i need help calculating the standard error using the central limit theorem.

*a population of scores contains exactly 5 scores : 2, 3, 6, 8, 11, there are 5x5=25 samples of the two scores (n=2)*

i already calculated the standard deviation and mean. for the question my standard deviation was 3.6742 and my mean was 6.

i also need to calculate the standard deviation of the following sampling distribution of means. apparently this is the longhanded way of calculating standard error.

(2, 2) ... 2

(2, 3) ... 2.5

(2, 6) ... 4

(2, 8) ... 5

(2, 11) ... 6.5

(3, 2) ... 2.5

(3, 3) ... 3

(3, 6) ... 4.5

(3, 8) ... 5.5

(3, 11) ... 7

(6, 2) ... 4

(6, 3) ... 4,5

(6, 6) ... 6

(6, 8) ... 7

(6, 11) ... 8.5

(8, 2) ... 5

(8, 3) ... 5,5

(8, 6) ... 7

(8, 8) ... 8

(8, 11) ... 9.5

(11, 2) ... 6,5

(11, 3) ... 7

(11, 6) ... 8,5

(11, 8) ... 9,5

(11, 11) ... 11

thank you :)

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