Question

Two basketball players average the same number of points per game. What information would be most helpful in determining which player’s 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 player’s team scores per game
the total number of points each player has scored

Answer 1

Solution:

To Measure Variability we use four Measures

1. Range

2. Inter-Quartile Range

3. Variance

4. Standard Deviation

Averages are same , it means Mean of the two set of Data are same.

→the average number of points each player’s team scores per game can also determine variability.

→the total number of points each player has scored can also measure variability.

→As range is Minimum Value subtracted from Maximum Value of the given set of Data.So, it can be the measure to determine  variability.

So, Option B: →the number of games each player has played can't Determine a player’s game performance showing the least variability among all the options provided.

And if you want to determine variability, which helps us in determine which player's performance is better then it would be option A which is the most and least points each player has scored in a game.

Answer 2

If you're interested in determining which player's game performances show the least variability, you'd want to identify the smallest and largest number of points (minimum and max).