Question

Caitlyn's new university has four basketball teams, and she cannot figure out which team to join.
The scores of the last five games of each team are:
If Caitlyn wants to join the team with the highest mean score, which team should she pick?
\begin{tabular}{|l|l|l|l|l|l|} \hline & Game 1 & Game 2 & Game 3 & Game 4 & Game 5 \\ \hline Team 1 & 22 & 34 & 43 & 38 & 47 \\ \hline Team 2 & 39 & 32 & 41 & 38 & 36 \\ \hline Team 3 & 23 & 29 & 41 & 45 & 49 \\ \hline Team 4 & 41 & 43 & 39 & 38 & 40 \\ \hline \end{tabular}

• A. Team 4
• B. Team 2
• C. Team 3
• D. Team 1

Answer 1

The correct option is A Team 4

$\text{We know, Mean}=\frac{\text{Sum of all data points}}{\text{Number of data points}}$

Let's find the mean score for each team.

Team 1:
$\text{Mean score}=\frac{22+34+43+38+47}{5}=36.8$

Team 2:
$\text{Mean score}=\frac{39+32+41+38+36}{5}=37.2$

Team 3:
$\text{Mean score}=\frac{23+29+41+45+49}{5}=37.4$

Team 4:
$\text{Mean score}=\frac{41+43+39+38+40}{5}=40.2$

Thus, the team with the highest mean score is team 4.

So, Caitlyn should join team 4.