The data given represents the height of basketball players, in inches, on two different girls' teams.

\begin{tabular}{|c|c|c||c|c|c|}
\hline \multicolumn{3}{|c||}{ Allstars } & \multicolumn{3}{|c|}{ Super Stars } \\
\hline 73 & 62 & 60 & 66 & 68 & 62 \\
\hline 63 & 72 & 65 & 63 & 47 & 64 \\
\hline 69 & 68 & 71 & 65 & 50 & 60 \\
\hline 66 & 70 & 67 & 64 & 65 & 65 \\
\hline 60 & 70 & 71 & 58 & 60 & 55 \\
\hline
\end{tabular}

Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.

A. The Allstars, with a median of 68 inches

B. The Super Stars, with a mean of about 60.8 inches

C. The Allstars, with a mean of about 67.1 inches

D. The Super Stars, with a median of 63 inches



Answer :

To determine which team typically has the tallest players, we can compare the measures of center (mean and median) for both the Allstars and the Super Stars teams.

First, let's look at the Allstars team results:
- The mean height is calculated by summing all heights and dividing by the number of players, which gives us a mean value of 66.15 inches.
- The median height is found by ordering the heights and finding the middle value (or the average of the two middle values in case of an even number of players), resulting in a median height of 66.0 inches.

Next, for the Super Stars team:
- The mean height is calculated by summing all heights and dividing by the number of players, which gives a mean value of 59.6 inches.
- The median height, calculated similarly by ordering the heights and finding the central value, results in 61.0 inches.

Now let's compare these values:
- Allstars Mean: 66.15 inches
- Allstars Median: 66.0 inches
- Super Stars Mean: 59.6 inches
- Super Stars Median: 61.0 inches

Both the mean and median values are higher for the Allstars team compared to the Super Stars team. Therefore, the Allstars team typically has the tallest players. Specifically, since the most reliable measure of center in this context is the mean (as it takes into account all player heights, despite any outliers), we can conclude that:

The Allstars, with a mean of 66.15 inches, typically has the tallest players.

Thus, the correct answer is not any of the given choices as stated, but the most accurate representation based on our calculations is:

The Allstars, with a mean of 66.15 inches.