Answer :
Final answer:
The missing number x in the sequence to make the mean equal to 6 is calculated to be 4, by using the formula for mean and solving for the variable.
Explanation:
To calculate the missing number x in the sequence 2, 8, 9, 7, 6, x given that the mean is 6, we need to use the formula for the mean of a set of numbers. The mean is the sum of the numbers divided by the count of numbers. Here, we add all the given numbers together with x, then divide by the total amount of numbers, which is 6 in this case, to find that total sum which, when divided by 6 yields the mean of 6.
The mean calculation is as follows:
Sum of known numbers: 2 + 8 + 9 + 7 + 6 = 32
Let the sum of known numbers plus x be S, and we know that S / 6 = 6 (since the mean is 6).
Therefore, S = 6 * 6 = 36.
To find x: S - sum of known numbers = x, which is 36 - 32 = 4.
So the missing number x is 4.
