It is important to know that the sample would be the starters and the population is all members.
So, let's use the mean formula to find the mean sample
[tex]\bar{x}=\frac{\Sigma(x)}{n}[/tex]
Where n = 21.
Now, we have to add all the heights of the starter players.
[tex]\begin{gathered} \Sigma(x)=75+81+72+84+79+68+77+84+79+78+83+76+83+71+80+75+77+84+77+80+75 \\ \Sigma(x)=1638 \end{gathered}[/tex]
Then, we divide
[tex]\bar{x}=\frac{1638}{21}=78[/tex]
Therefore, the mean sample is 78 inches.
Now, let's find the population mean using all team data instead
[tex]\mu=\frac{\Sigma(x)}{N}[/tex]
Where N = 35. Let's do the same process.
[tex]\begin{gathered} \mu=\frac{75+80+69+77+70+77+68+81+80+77+80+84+72+69+79+84+75+78+84+76+79+83+72+77+75+76+79+84+78+76+71+83+75+69+77}{75} \\ \mu=\frac{2689}{35}=76.83 \end{gathered}[/tex]
Therefore, the mean population is 76.83 inches.
