Question

! Task 1. Bookwork code: G24 Calculator X not allowed Anthony has three number cards, as shown below. The minimum of the three cards is 6. The range of the three cards is 5. What is the mean of Anthony's three cards? Cards are 6, 7 and unknown​

Answer 1

The mean of Anthony's three cards is 8. This is calculated by determining the maximum value of the three cards as 11, summing all three values (6, 7, 11) to get 24, and dividing by 3.

The student is asking to find the mean of Anthony's three cards. The information provided is that one card is a 6, one is a 7, and the third card is unknown; the minimum value of the three cards is 6 and the range is 5.

Since the range is the difference between the maximum value and the minimum value, we can deduce that the third card must be 11 (6 + 5 = 11).

Thus, to find the mean, we add up the values of the three cards: 6, 7, and 11, which sum up to 24, and divide by the number of cards, which is 3, to get the mean (24 ÷ 3 = 8).

Answer 2

8

Explanation:

In order to find the range you need to subtract maximum card number from the minimum card number. We know that the range is 5 and that the minimum card is 6 so we can set up the equation like this to find the maximum shown as x.

`5=x-6`

Add 6 to both sides

`11=x`

Now we know all the the numbers of the three cards Anthony has since we were given the minimum = 6, 7, and solved for the last card which was the maximum = 11. In order to find the mean we have to add all of the numbers then divide by how many numbers there are (in this case it will be 3):

`mean=(6+7+11)/(3)`

Add 6+7+11

`mean=(24)/(3)`

Divide by 3

`mean=8`