Question

The mean of 6 items is 8.

5 of these items are:

5 9 11 6 7

Find the value of the 6th item.

Answer 1

The value of the 6th item is 10

Explanation:

If the mean of 6 items is 8, the total sum of all 6 numbers is 48. We add up all of the other numbers: 5 + 9 + 11 + 6 + 7 = 38. This means our 6th item, x, fits the equation 38 + x = 48. x = 10.

Answer 2

The 6th item is 10

Explanation:

[] Mean is basically the average. Add all the numbers together and divide by number of numbers.

We can set up the following and solve for your answer:

[Equation]
`(5+ 9+11+6+7+x)/(6) =8`

[Multiply both sides by 6]
`5+ 9+11+6+7+x =48`

[Combine like terms]
`38+x=48`

[Subtract 38 from both sides]
`x = 10`

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather