To determine the value of [tex]\( n \)[/tex] for the given sample using the formula for the mean [tex]\(\bar{x}=\frac{1}{n} \sum_{i=1}^n x_i\)[/tex], we need to first identify how many numbers are in the sample.
The sample provided is:
[tex]\[ 43, 36, 93, 2, 28, 83, 10, 22, 9, 84, 41, 3, 13, 20, 66 \][/tex]
Let's count the numbers in the sample:
1. 43
2. 36
3. 93
4. 2
5. 28
6. 83
7. 10
8. 22
9. 9
10. 84
11. 41
12. 3
13. 13
14. 20
15. 66
We can see that there are 15 numbers in the sample.
Therefore, the value of [tex]\( n \)[/tex] is [tex]\( \boxed{15} \)[/tex].
