A population consist of multiple of five numbers where is 5, 10, 15, 20, 25, and 30 with sample size of 2. What is the number of possible samples?
Question
A population consist of multiples of five numbers
The numbers are: 5, 10, 15, 20, 25, and 30.
- Sample size: 2
What is the number of possible samples?
Solution
The number of possible samples can be calculated using the combination formula, which is C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.
In this case, the total number of items n is 6 (5, 10, 15, 20, 25, and 30) and we are choosing r=2 items.
So, the number of possible samples is C(6, 2) = 6! / [2!(6-2)!] = 720 / [2*24] = 15.
Therefore, there are 15 possible samples of size 2 from this population.
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