If the mean of 6, 4, 7, x and 10 is 8, find x.

Given:

The mean of the numbers 6, 4, 7, x, and 10 is 8

Formula used:

The mean of a set of numbers is given by the sum of the numbers divided by the count of the numbers.

Mean = (Sum of numbers) / (Count of numbers)

Calculation:

Let the sum of the numbers be S.

We have 5 numbers: 6, 4, 7, x, and 10.

According to the given condition, the mean is 8.

⇒ 8 = (6 + 4 + 7 + x + 10) / 5

⇒ 8 = (27 + x) / 5

Multiplying both sides by 5 to eliminate the denominator, we get:

⇒ 8 * 5 = 27 + x

⇒ 40 = 27 + x

Subtracting 27 from both sides to solve for x, we get:

⇒ x = 40 - 27

⇒ x = 13

∴ The value of x is 13.