Correct Answer - Option 1 : 101
Given:
Numbers are up to 200
Concept used:
1 is neither prime nor composite.
Average = Sum of all numbers/ Total numbers
Sum of AP = (n/2) × (First term + Last term), where n is number of terms
Calculation:
Numbers are 2, 3, 4, 5, ..... 200
As the consecutive numbers are in AP
Sum of all numbers = (n/2) × (First term + Last term)
⇒ Sum of all numbers = (199/2) × (2 + 200) = 199 × 101
Average = Sum of all numbers/ Total numbers = (199 × 101)/199
⇒ Average = 101
∴ Average of all prime and composite up to 200 is 101
