Answer :
We are given that a sample of 23 bowlers is selected from a larger population of 187 bowlers. The sample mean, denoted by [tex]$\bar{x}$[/tex], is calculated by averaging the scores of only the bowlers in the sample. This means that
[tex]$$
\bar{x} = \frac{x_1 + x_2 + \cdots + x_{23}}{23},
$$[/tex]
where [tex]$x_1, x_2, \dots, x_{23}$[/tex] are the scores of the 23 bowlers chosen.
Since the calculation involves only the scores of these 23 bowlers, the sample mean is the mean of 23 bowlers' scores. Thus, the correct answer is:
[tex]$$
\textbf{A. } 23.
$$[/tex]
[tex]$$
\bar{x} = \frac{x_1 + x_2 + \cdots + x_{23}}{23},
$$[/tex]
where [tex]$x_1, x_2, \dots, x_{23}$[/tex] are the scores of the 23 bowlers chosen.
Since the calculation involves only the scores of these 23 bowlers, the sample mean is the mean of 23 bowlers' scores. Thus, the correct answer is:
[tex]$$
\textbf{A. } 23.
$$[/tex]
