After several weeks of practice, Emek and Tara reviewed the team's training records before the upcoming tournament. They compared two training plans using sets of performance scores from different sessions. Plan A produced scores of 72, 75, 78, 76, and 74, while Plan B produced scores of 68, 82, 73, 79, and 70. They calculated the average scores and examined how much the results varied from session to session. Although one plan had a higher single score, the analysis showed which plan created more reliable improvement. The coach used their findings to choose the training approach that best prepared the team.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Add all five scores and divide by the number of sessions.
What is the mean score for Plan A's training sessions with scores 72, 75, 78, 76, and 74?
74757677Correct! The total is 375, and 375 / 5 = 75.
Remember that the mean is found by adding all values and dividing by the number of values.
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Hint
Find the difference between the highest and lowest scores.
What is the range of Plan B's scores: 68, 82, 73, 79, and 70?
Correct! The highest score is 82 and the lowest score is 68, so the range is 14.
Check which score is the largest and which is the smallest before subtracting.
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Hint
Compare how far the scores in each plan are from one another.
The coach wants the training plan with more reliable and consistent scores. Which plan should the coach choose based on the data?
Plan B, because it has the highest single score of 82.Plan A, because its scores are closer together and have less variation.Plan B, because its scores are more spread out.Plan A, because it has the lowest individual score.Correct! Plan A has scores that are closer together, showing more consistent performance.
A higher single score does not always mean a more reliable plan. Consider the variation in the data.
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