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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 & 80 & 86 & 88 & 62 \\
\hline 63 & 72 & 85 & 63 & 47 & 64 \\
\hline 69 & 68 & 71 & 85 & 50 & 60 \\
\hline 68 & 70 & 67 & 84 & 65 & 85 \\
\hline 80 & 70 & 71 & 58 & 80 & 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 78 inches

B. The Super Stars, with a mean of about 90.8 inches

C. The Allstars, with a mean of about 87.1 inches

D. The Super Stars, with a median of 83 inches

Sagot :

GinnyAnswer
Alright, let's compare the data and use appropriate measures of center to determine which team typically has the tallest players.

The given data is as follows:

Allstars Heights (in inches):
73, 62, 80, 63, 72, 85, 69, 68, 71, 68, 70, 67, 80, 70, 71

Super Stars Heights (in inches):
86, 88, 62, 63, 47, 64, 85, 50, 60, 84, 65, 85, 58, 80, 55

To compare the two teams, we use the mean and median, which are measures of central tendency:

1. Mean Height:
- The mean (average) height for the Allstars team is approximately 71.27 inches.
- The mean (average) height for the Super Stars team is approximately 68.8 inches.

2. Median Height:
- The median height for the Allstars team is 70.0 inches.
- The median height for the Super Stars team is 64.0 inches.

3. Choosing the Measurement of Center:
- When comparing the typical height of players in each team, both the mean and the median can be insightful. However, given that both the mean and median for the Allstars team are higher than those for the Super Stars, it suggests that the Allstars team generally has taller players.

Conclusion:
- The Allstars team has a higher mean height (71.27 inches) compared to the Super Stars (68.8 inches).
- The Allstars team also has a higher median height (70.0 inches) compared to the Super Stars (64.0 inches).

Both measures of central tendency indicate that the Allstars team typically has taller players. Therefore, the correct interpretation is that the Allstars team typically has the tallest players.
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