Data Structures

1:

The average successful search time taken by binary search on a sorted array of 10 items is

A.

2.6

B.

2.7

C.

2.8

D.

2.9

 

Answer : D

Explanation :

The 10 items i1, i2, ..., i10 may be arranged in a binary search trees as in Fig   To get i5, the number of comparision needed is 1; for i2, it is 2; for i8 it is 2; for i1 it is 3, and so on. The average is (1+(2+2) +(3+3+3+3)+(4+4+4))/10, i.e., 2.9.

sorting tree

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Option: A

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