Question

two basketball players average the same number of points per game. what information would be most helpful in determining which players game performances show the least variability?
○ the most and least points each player has scored in a game
○ the number of games each player has played
○ the average number of points each players team scores per game
○ the total number of points each player has scored

Explanation:

Step1: Understand variability concept

Variability measures how spread - out data is. To determine which player's game performances show the least variability when they have the same points per game, we need to look at how consistent their scores are from game to game.

Step2: Analyze each option

• Total number of points scored: Just knowing the total doesn't tell us about consistency in individual game scores.
• Average number of points: Since we already know they have the same average, this doesn't help with variability.
• Number of games played: The number of games has no direct relation to the variability of scores in each game.
• Most and least points in a game: If we know the range (difference between most and least points) for each player, a smaller range indicates less variability in their game - to - game scoring.

Answer:

the most and least points each player has scored in a game