Dataset Overview
We have 19 hockey players with metrics: TOI/G (Time on Ice per Game), GP (Games Played), PIM (Penalty Minutes), and A (Assists).
Statement 1: "The player with the highest TOI/G also had the highest PIM per game"
Sorting by TOI/G (descending), Kevin Dallman has the highest at 25:17.
Dallman also has the highest total PIM at 137.
Calculating PIM/GP for Dallman: \(137 \div 53 = 2.58\) PIM/GP
Checking other high-PIM players:
- Radulov: \(92 \div 52 = 1.77\) PIM/GP
- Radivojevič: \(86 \div 49 = 1.76\) PIM/GP
Dallman has both the highest TOI/G and highest PIM/GP.
Statement 1 is TRUE.
Statement 2: "The player with the fewest games played had the most assists per game"
Sorting by GP (ascending), Sushinski has fewest at 48 GP with 27 assists.
Calculating A/GP:
- Sushinski: \(27 \div 48 = 0.56\) A/GP
- Top assist leader (Mozyakin): \(42 \div 56 = 0.75\) A/GP
Statement 2 is FALSE.
Statement 3: "Two players with the median GP also had above-median TOI/G"
With 19 players, median GP is 55 (10th value when sorted).
Median TOI/G is 18:10 (10th value when sorted).
Players with exactly 55 GP and their TOI/G:
- Jágr: 17:52 (below median)
- Mårtensson: 17:00 (below median)
- Perezhogin: 17:10 (below median)
- Tereschenko: 18:31 (above median)
Only ONE player with median GP has above-median TOI/G, not two.
Statement 3 is FALSE.
Final Answer
Statement 1 is Consistent, Statements 2 and 3 are Inconsistent.
