What is the average number of comparisons needed in a
sequential search to determine the position of an element in
an array of 100 elements, if the elements are ordered from
largest to smallest?
Answers were Sorted based on User's Feedback
Answer / saurav
i dont think the above answer is correct..it should be (N+1)/2
according to me..if my answer is not correct,can anyone
explain me the reason..
| Is This Answer Correct ? | 54 Yes | 4 No |
Answer / wonder
Avarage number of comparision will be (N+1)/2(N-size of
array).
Because:If elements is in 1st position no of cpmparision
will be one and if the element is in the last position then
no of comparisions will be N.
| Is This Answer Correct ? | 31 Yes | 0 No |
Answer / nilavalagan
The element may be found at any place in the array.
Supposing that the element is in 1st position, no.of comparison = 1;
Element is in 2nd position, no.of comparison = 2;
In the same way,
for the element present in 100th positionn no.of comparison = 100;
Total no.of comparison = 1+2+3+....+100
Average no.of comparison = (1+2+3+..+100)/100
= (100*101)/2*100
(Remember n(n+1)/2)
=101/2 = 50.5
In general = (n+1)/2; if there are n elements.
| Is This Answer Correct ? | 15 Yes | 0 No |
Answer / shyam
see
http://www.cs.odu.edu/~cmo/classes/msim602/studyGuide/ch10.doc.
for details..
the fact that the array is already sorted does not affect
the number of comparisons ..
| Is This Answer Correct ? | 6 Yes | 2 No |
Answer / dj
Answer is log n (base 2), Maximum camparision required to
search the array of 100 elments is 8. ( modified binary
search)
| Is This Answer Correct ? | 10 Yes | 7 No |
Answer / sherin
its asked sequential search
if it was binary then dividing array into 2 , then
comparing....100 - 50 - 25 - 12 - 6 - 3 - 1 -then the no.,
i think Dj thought it like that ..
Sequential search is not needed here because the numbers are
ordered , if it was not ordered then 'n' comparisons are
necessary.
question here is not worst case scenario , see its asked
average case ..that too with ordered numbers ...
| Is This Answer Correct ? | 4 Yes | 1 No |
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