Question

The mean of six numbers is 14. If one of the six numbers is removed, the mean becomes 5. What is the value of the number removed?

Answer 1

59

Explanation:

Suppose a, b, c, d, e and f represent the 6 numbers.

Then,
`(a + b + c + d + e + f)/(6) = 14\\`

(1) a + b + c + d + e + f = 84

Let's remove f

then
`(a + b + c + d + e)/(5) = 5`

(2) a + b + c + d +e = 25

Substitute 25 in for a + b + c + d +e in equation (1)

We have 25 + f = 84

f = 59

Answer 2

Remember, the mean is calculated by adding the scores together and then dividing by the number of scores you added. In this case, the mean would be 2 + 4 (add the two middle numbers), which equals 6. Then, you take 6 and divide it by 2 (the total number of scores you added together), which equals 3.

Explanation:

Hope I helped.It's just a reminder of helpful things for means!