31. Five mark exercise problem IV

For a group of $100$ candidates the mean and standard deviation of their marks were found to be $60$ and $15$ respectively. Later on it was found that the scores $45$ and $72$ were wrongly entered as $40$ and $27$. Find the correct mean and standard deviation.

 

 

Correct mean $=$

 

Correct standard deviation $=$

 

[Note: Enter the answer rounded to two decimal places.]