Answer:
Step-by-step explanation:
To find the value of \(x\), we can use the formula for calculating the mean (average):
\[\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}\]
Given that the mean of the numbers 25, 15, 16, \(x\), and 5 is 14, we can write the equation as:
\[14 = \frac{25 + 15 + 16 + x + 5}{5}\]
Now, let's simplify and solve for \(x\):
\[14 = \frac{61 + x}{5}\]
To isolate \(x\), we can multiply both sides of the equation by 5:
\[14 \times 5 = 61 + x\]
\[70 = 61 + x\]
Now, subtract 61 from both sides:
\[70 - 61 = x\]
\[9 = x\]
So, the value of \(x\) is \(9\).
