While preparing for a playoff game, Emek and Tara studied statistical reports from two rival teams. Team A had scoring results of 88, 91, 87, 90, and 89 points, while Team B had results of 102, 76, 94, 81, and 92 points. They calculated the average score for each team and compared the spread of the data to understand consistency. Although Team B had an impressive high score, its larger variation revealed less predictable performance. The coach used their analysis to create a strategy that prepared the team for different game situations.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Find the total of the five scores and divide by 5.
What is the mean score for Team A with scores 88, 91, 87, 90, and 89?
89889091Correct! The total is 445, and 445 / 5 = 89.
Remember to calculate the average by dividing the sum of the scores by the number of scores.
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Hint
Subtract the lowest score from the highest score.
What is the range of Team B's scoring results: 102, 76, 94, 81, and 92?
Correct! The highest score is 102 and the lowest score is 76, so the range is 26.
Check the largest and smallest values before finding their difference.
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Hint
Compare how far apart the scores are, not just the highest score.
The coach wants to prepare for the team that has more predictable scoring. Which conclusion is supported by the data?
Team B is more predictable because it has the highest single score.Team A is more predictable because its scores have a smaller spread.Team B is more predictable because its scores are more varied.Both teams are equally predictable because they have the same number of scores.Correct! Team A's scores are closer together, so its performance is more consistent.
A single high score does not determine consistency. Look at the spread of all scores.
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