Before a regional basketball tournament, Tara and Emek helped the coaching staff choose the starting lineup. Instead of comparing only total points, they examined each player's scoring rate, assist-to-turnover ratio, and shooting percentage. One player had the highest total points but also a low assist-to-turnover ratio, while another scored slightly less yet contributed more efficiently across every possession. By interpreting the ratios in context rather than relying on raw totals, they identified the most balanced lineup. Confident that every position complemented the others, the team entered the tournament prepared to play together effectively.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Compute each player's assist-to-turnover ratio and compare the values.
Two players are being compared for the starting lineup. Player A made 18 assists and committed 9 turnovers. Player B made 21 assists and committed 7 turnovers. Based on the assist-to-turnover ratio, which player was more efficient?
There is not enough information.Player ABoth players had the same ratio.Player BCorrect! Player B's assist-to-turnover ratio is higher, showing greater efficiency.
Find each ratio first, then compare the numerical values.
Next🎉 Congrats! You got this question!
Hint
Divide successful shots by total attempts and multiply by 100.
A player made 63 successful shots out of 90 attempts. What is the shooting percentage, rounded to the nearest whole percent?
Correct! The shooting percentage rounds to 70%.
Calculate the fraction of successful shots, convert it to a percentage, and round to the nearest whole percent.
Next🎉 Congrats! You got this question!
Hint
Think about why the story compared ratios instead of only total points.
Player X scored more total points than Player Y, but Player Y had a higher shooting percentage and a higher assist-to-turnover ratio. Based on the reasoning used by Tara and Emek, which player would be the better balanced choice for the starting lineup?
Neither player can be compared using ratios.Player X, because total points are always the only important statistic.Player X, because shooting percentage does not matter.Player Y, because efficiency measures should also be considered.Correct! Efficient performance across multiple measures provides a better basis for comparison.
Review how the story emphasized interpreting ratios in context instead of relying only on totals.
Next🎉🎉🎉🎉🎉🎉🎉🎉
🎉 Congrats! You finished this challenge set!
