Question

If the mean of 22, 25, 27, 24 and x is 26, then the value of x is:

• A. 32
• B. 35
• C. 28
• D. 41

Answer 1

Answer:

A. 32

The value of $x$ is 32.

The mean (average) of a set of numbers is calculated by dividing the sum of the numbers by the total count of numbers.

1. Set up the mean formula:
   $\text{Mean} = \frac{\text{Sum of all values}}{\text{Total number of values}}$

2. Substitute the given values into the formula:
   $26 = \frac{22 + 25 + 27 + 24 + x}{5}$

3. Multiply both sides by 5 to clear the fraction:
   $26 \times 5 = 22 + 25 + 27 + 24 + x$
   $130 = 98 + x$

4. Solve for $x$:
   $x = 130 - 98$
   $x = \mathbf{32}$