During an international tournament, Tara and Emek entered the team's decision room after receiving several reports about the next match strategy. Each report analyzed player performance, but the recommendations did not agree. One report emphasized a short period of exceptional results, while another examined performance across the entire tournament. Tara and Emek compared the data distributions, reviewed changes over time, and checked whether the reported differences represented real patterns or temporary fluctuations. They considered consistency, sample size, and how well each conclusion matched the available evidence. After identifying the strategy supported by the most reliable statistical analysis, they explained their reasoning to the coaching staff. The team adopted the evidence-based plan and used the improved strategy to achieve stronger results throughout the tournament.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Consider how sample size affects the reliability of statistical conclusions.
Two reports analyzed a player's scoring performance. Report A used the last 5 games, where the player scored 12, 13, 14, 15, and 16 points. Report B used the full season data of 40 games and showed an average of 14 points per game. Which conclusion is most reasonable when evaluating the reliability of the reports?
Report B is likely more reliable because it uses a larger sample sizeReport A is always more reliable because its values are increasingBoth reports are equally reliable because they have the same averageReport A must be correct because it represents the most recent games
Correct! A larger sample size generally provides stronger evidence for a reliable conclusion.
A short period of strong performance may not represent the overall pattern.
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Hint
Find the number of unusual performances first, then subtract from the total.
A report analyzed 120 player performances. If 25% of these performances were affected by unusual conditions, how many performances represented typical conditions?
Correct! 90 performances represented typical conditions.
Check the percentage calculation and subtract the unusual cases from the total.
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Hint
Compare both the average performance and the spread of the results.
The coaching staff compared two strategies. Strategy A produced results with a mean score of 80 and standard deviation of 3. Strategy B produced results with a mean score of 82 and standard deviation of 12. Which interpretation is best supported by the data?
Strategy B is clearly better because it has the higher meanStrategy A is more consistent because its results have less variationStrategy A is worse because its mean is lowerThe standard deviations show that both strategies have identical reliability
Correct! Strategy A has much lower variation, making its performance more consistent.
A higher mean alone does not describe the complete pattern of performance.
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Turnuva Karar Odası
TR
ARC_G12_DP_01_STORY_03
Turnuva Karar Odası
The Tournament Decision Room
EN
ARC_G12_DP_01_STORY_03
The Tournament Decision Room