The mean of marks scored by 100 students was found to be 40. Later on it was discovered that a score of 53 was misread as 83. Find the correct mean.

Explanation

To find the correct mean after discovering the misread score, we can follow these steps:

### Step 1: Calculate the total marks based on the original mean.
The mean of the marks scored by 100 students is given as 40.

To find the total marks (Σx), we use the formula:
\[
\text{Total Marks} = \text{Mean} \times \text{Number of Students}
...