Find the average of
first 100 natural number
Answers
Answer:
don't ask silly questions .......
Answer:
I checked all the answers and they have used certain method that involves adding all the numbers and dividing the sum by number of numbers to arrive at the average. No doubt this is a typical method and this is very fundamental method of finding average in generic cases.
Since these are first 100 natural numbers and we also know that the numbers form an AP with starting term as 1, ending term as 100 and the common difference is 1. In such scenarios, we can simply add 1st Term with the Last Term and divide this by 2 (because we are adding 2 Terms) to arrive at an answer.
Simply put, we have to add 1 (1st Term) to 100 (Last Term) that gives us 101 and dividing this by 2, gives us 50.5, which is the required average.
Needless to add, this would only work when we have an AP with a known 1st Term and known Last Term or in case we know the common difference and either of 1st or Last Terms. In such a case the missing Term could always be calculated and then simply adding 1st and the Last Term and dividing the sum by 2 would give you the average.