Correct Answer - Option 2 : 51
Given:
Average of 100 observation = 50
Concept used:
Sum of ratings = Average × Number of observation
Calculation:
Sum of ratings = Average × Number of observation
⇒ Required sum = 50 × 100
⇒ Required sum = 5000
If we remove a rating of 50 and include a rating of 150
Overall change = 150 - 50
⇒ Change = 100
New sum = 5000 + 100
⇒ New sum = 5100
New average = New sum/100
⇒ New average = 5100/100
⇒ New average = 51
∴ The new average is 51.