To find the mean [tex]\(\bar{x}\)[/tex] of a sample using the formula [tex]\(\bar{x}=\frac{1}{n} \sum_{i=1}^n x_i\)[/tex], we need to determine the number of elements in the sample, which is represented by [tex]\(n\)[/tex].
Let’s identify each step required to find the sample size [tex]\(n\)[/tex]:
1. List the sample values: [tex]\(2, 63, 88, 10, 72, 99, 38\)[/tex].
2. Count the number of values in the sample.
[tex]\[
\begin{array}{c}
2, \ 63, \ 88, \ 10, \ 72, \ 99, \ 38
\end{array}
\][/tex]
There are 7 values in the sample.
Thus, the value of [tex]\(n\)[/tex] is:
[tex]\[
n = 7
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{7}
\][/tex]
