The mean of 25 observations was found to be 38. It was later discovered that 23 and 38 were misread as 25 and 36, then the mean is
Step-by-step Solution:
Given that the mean of 25 numbers is 38, and two numbers, 25 and 34, are misread as 23 and 36. The corrected mean is: \[ \text{Corrected mean} = \frac{\{(25 \times 38) - (23 + 36)\} + (25 + 34)}{25}. \] Since the sum of \( 25 + 34 \) is the same as \( 23 + 36 \), the total sum of the numbers remains unchanged. Thus, the mean will not change, and the corrected mean remains: \[ \boxed{38}. \]