Question

The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those players that season is 4.
Determine if the following statement is true, is false, or does not contain enough information.
At least one player scored exactly 5 goals.

True
False
Not enough

Answer 1

True. A possible situation of this is 5 of the players scored 5 goals, one of the players scored three goals, and one of the players scored 7 goals. 3+5+5+5+5+5+7=35. The range of this is 4 and the median is 5.

Answer 2

The range cannot be 4 if the median is 5.
False.