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The average of 12 observations is 15. If 2 observations are deleted, then the average of the rest observations is 12. What is the average value of deleted two observations? 

The average of 12 observations is 15. If 2 observations are deleted, then the average of the rest observations is 12. What is the average value of deleted two observations?  Correct Answer 30

Given:

Average of 12 observations = 15

Formula:

Average = Sum of all observations/Total number of all observations

Calculation:

Sum of 12 observations = 15 × 12 = 180

If 2 observations of the 12 observations are deleted, then the average of the rest observations = 12

If two observations is deleted, then new sum of 10 observations = 10 × 12 = 120

⇒ Sum of deleted two observations = 180 – 120 = 60

∴ Average of deleted two observations = 60/2 = 30

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