Final answer:
The maximum value is 11, and all the number cards have a value of 7. To find the values of the number cards, we can use the given information: Minimum: 2, Range: 9, Mean: 7.
Step-by-step explanation:
To find the values of the number cards, we can use the given information:
- Minimum: 2
- Range: 9
- Mean: 7
The range of the cards is the difference between the maximum and minimum values. Since the minimum value is 2 and the range is 9, the maximum value must be 2 + 9 = 11.
Next, we can use the mean to find the sum of all the card values. Since there are 8 cards in total, the sum of all the card values is 7 * 8 = 56.
To find the values of the individual cards, we can assume that all the cards have the same value (x) and create an equation: 8x = 56. Solving for x gives us x = 7. Therefore, all the number cards must have a value of 7.