A sports club needed to choose between two promising players before the new season began. Tara and Emek reviewed detailed performance charts from many matches and noticed that both players had similar average scores. They examined the changes in each player's results over time and compared how consistently each athlete performed. Although one player had a few exceptional games, the data showed more variation in their performance. The other player maintained steadier results across many matches. Using their analysis of trends and variation, Tara and Emek guided the club toward the player who offered the most dependable contribution.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find the difference between the highest and lowest scores.
The club recorded Player A's scores in five matches as 82, 85, 84, 83, and 86 points. What is the range of Player A's scores?
3456Correct! The highest score is 86 and the lowest is 82, so the range is 4.
Check the highest and lowest values carefully and subtract the smaller one from the larger one.
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Hint
Use the largest score and the smallest score to find the spread.
Player B's five match scores were 70, 88, 76, 92, and 84 points. What is the range of Player B's scores?
Correct! The range shows how far apart the highest and lowest scores are.
Remember that range is calculated by subtracting the minimum value from the maximum value.
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Hint
A smaller range means the scores are closer together.
Player A and Player B both have an average score of 84 points. Player A's scores have a range of 5, while Player B's scores have a range of 20. Which conclusion best supports choosing a more dependable player?
Choose Player B because a larger range means the player has more potential.Choose Player A because the smaller range shows more consistent performance.Choose Player B because both players have the same average score.Choose either player because the range does not provide information about performance.Correct! Player A has less variation, so the player is more consistent.
Consider how variation helps measure consistency, not just the average score.
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