Question

The median number of baskets made by 7 players in a certain basketball game is 5. The range of the number of baskets made by those players that game is 4.
Determine if the following statement is true, is false, or does not contain enough information.

If the greatest number of baskets made is 8, then the fewest baskets made is 4.

Answer 1

This must be FALSE, because:

7 players x 4(which is the range) = 28 which means that the total number of baskets made is 28.

If the greatest is 8, we must do 28 - 8, which gives us 20. This means that the remaining 6 players (7 - 1 = 6) made a total of 20 baskets.

However, if the fewest is 4 baskets, this means that the remaining 5 players (6 - 1 = 5) must have made a total of 16 baskets (20 - 4 = 16) and that each player must have scored 4 or more baskets each (since 4 was the fewest number of baskets made).

But this is impossible because if the remaining 5 players scored 4 (fewest number possible) each, it would give us 20 (4 x 5). But they should have made 16, or else the total of all the baskets would not be 28 (look back at start).

This means that the statement is impossible and therefore FALSE.

Hope this helped :)

Answer 2

Answer:

There's no enough information to say if the given statement is true or false.

Step-by-step explanation:

Givens

• The median is 5 baskets.
• The range is 4 baskets.

Remember that a median is the center value, it's literally the number at the middle.

The range is defined as the difference between the highest and the least value.

Based on this information, it could be possible that if the greatest number of baskets made is 8, then the fewest made is 4, because it follows the given range. However, there are another possibilities, because this doesn't guarantee that the median is 5.

Therefore, there's no enough information to say if the given statement is true or false.