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23 Sep 2025, 09:29
Kudos
Bookmarks
Among the bicycles with above-average durability, more than half have a comfort index below 85.: True
The range of braking scores is greater than the range of gear ranges.: True
Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score.: True
A transportation research institute collected data on ten bicycle models. Each model was evaluated on its frame weight, gear range, comfort index, durability index, and braking score.
• Frame weight is measured in kilograms (a lower weight is better).
• Gear range is measured on a 1–7 scale.
• Comfort index and durability index are measured from 0–100.
• Braking score is measured from 0–10.
For each of the following statements, select True if it can be verified from the table, otherwise False.
• Frame weight is measured in kilograms (a lower weight is better).
• Gear range is measured on a 1–7 scale.
• Comfort index and durability index are measured from 0–100.
• Braking score is measured from 0–10.
| Bicycle Model | Frame Weight (kg) | Gear Range | Comfort Index | Durability Index | Braking Score |
|---|---|---|---|---|---|
| RoadX Pro | 7.2 | 7 | 81 | 90 | 8 |
| TrailMaster 500 | 8.1 | 6 | 88 | 84 | 9 |
| CityLite | 9.3 | 5 | 92 | 70 | 8 |
| Speedster Carbon | 6.5 | 7 | 75 | 85 | 10 |
| Mountain Hawk | 8.7 | 6 | 80 | 91 | 7 |
| Urban Comet | 7.8 | 5 | 84 | 77 | 8 |
| Touring Classic | 10.2 | 4 | 89 | 65 | 6 |
| Hybrid Sprint | 7.5 | 6 | 71 | 80 | 9 |
| Steel Enduro | 11.0 | 5 | 60 | 95 | 5 |
| EcoRide | 8.3 | 4 | 86 | 73 | 8 |
| Average | 8.46 | 5.5 | 80.6 | 81.0 | 7.8 |
For each of the following statements, select True if it can be verified from the table, otherwise False.
| True | False | |
| Among the bicycles with above-average durability, more than half have a comfort index below 85. | ||
| The range of braking scores is greater than the range of gear ranges. | ||
| Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score. |
ShowHide Answer
Official Answer
Among the bicycles with above-average durability, more than half have a comfort index below 85.: True
The range of braking scores is greater than the range of gear ranges.: True
Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score.: True
23 Sep 2025, 09:29
Kudos
Bookmarks
Official Solution:
• Among the bicycles with above-average durability, more than half have a comfort index below 85.
The average durability is 81.0. The bicycles with durability greater than this are RoadX Pro (90), TrailMaster 500 (84), Speedster Carbon (85), Mountain Hawk (91), and Steel Enduro (95). Their comfort indices are 81, 88, 75, 80, and 60. Four of these five values are below 85, and only one (88) is above. Because four out of five is more than half, the statement is correct.
Answer: True
• The range of braking scores is greater than the range of gear ranges.
The braking scores go from a high of 10 for Speedster Carbon to a low of 5 for Steel Enduro, giving a range of 5. The gear ranges go from a high of 7 for RoadX Pro and Speedster Carbon to a low of 4 for Touring Classic and EcoRide, giving a range of 3. Since 5 is greater than 3, the statement is correct.
Answer: True
• Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score.
The average comfort index is 80.6. The bicycles below this are Speedster Carbon (75), Mountain Hawk (80), Hybrid Sprint (71), and Steel Enduro (60). Their durability scores are 85, 91, 80, and 95, and their braking scores are 10, 7, 9, and 5. Speedster Carbon has both above-average durability (85 vs 81.0) and above-average braking (10 vs 7.8). Because at least one bicycle meets both conditions, the statement is correct.
Answer: True
Correct answer:
Among the bicycles with above-average durability, more than half have a comfort index below 85. "True"
The range of braking scores is greater than the range of gear ranges. "True"
Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score. "True"
Bunuel
• Among the bicycles with above-average durability, more than half have a comfort index below 85.
The average durability is 81.0. The bicycles with durability greater than this are RoadX Pro (90), TrailMaster 500 (84), Speedster Carbon (85), Mountain Hawk (91), and Steel Enduro (95). Their comfort indices are 81, 88, 75, 80, and 60. Four of these five values are below 85, and only one (88) is above. Because four out of five is more than half, the statement is correct.
Answer: True
• The range of braking scores is greater than the range of gear ranges.
The braking scores go from a high of 10 for Speedster Carbon to a low of 5 for Steel Enduro, giving a range of 5. The gear ranges go from a high of 7 for RoadX Pro and Speedster Carbon to a low of 4 for Touring Classic and EcoRide, giving a range of 3. Since 5 is greater than 3, the statement is correct.
Answer: True
• Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score.
The average comfort index is 80.6. The bicycles below this are Speedster Carbon (75), Mountain Hawk (80), Hybrid Sprint (71), and Steel Enduro (60). Their durability scores are 85, 91, 80, and 95, and their braking scores are 10, 7, 9, and 5. Speedster Carbon has both above-average durability (85 vs 81.0) and above-average braking (10 vs 7.8). Because at least one bicycle meets both conditions, the statement is correct.
Answer: True
Correct answer:
Among the bicycles with above-average durability, more than half have a comfort index below 85. "True"
The range of braking scores is greater than the range of gear ranges. "True"
Among the bicycles with below-average comfort index, at least one also has above-average durability and above-average braking score. "True"
