11. Five mark exercise problems - II

1. 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.]

 

2. The mean and variance of seven observations are \(8\) and \(16\) respectively. If five of these are \(2\), \(4\), \(10\), \(12\) and \(14\), then find the remaining two observations.

 

Answer:

 

The two observations are  and .

 

(Note: Enter the answer for question number \(2\) in ascending order.)