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The next year, there are no new players, but the league is condensed into 4 teams instead of 8. The players try to analyze what will happen to the ratio of boys to girls on the new, larger teams. What's the observation?

User Arttu
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Final answer:

With the condensation of soccer teams, the ratio of boys to girls will remain unchanged if all teams had the same initial ratios, resulting in larger teams with the same gender ratio, or become a weighted average of different ratios if the initial ratios varied.

Step-by-step explanation:

When the league is condensed from 8 teams to 4, the number of players on each team will effectively double, assuming an equal distribution of players. Concerning the ratio of boys to girls, the observation likely to be made is that assuming each team previously had the same ratio of boys to girls, the ratio should remain the same even with the larger team sizes.

This is because when combining two teams with the same ratio, the composite team maintains that ratio. However, if the original teams had different ratios of boys to girls, the new ratios will be a weighted average of the ratios from the combining teams. It is important to consider that not every player may accept a position on the new, larger teams, which could potentially affect the final ratios.

User Tomzi
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