Computer Science
Consider the following lists:
List 1:
| 2 | 3 | 5 | 7 | 11 |
|---|
List 2:
| 11 | 7 | 5 | 3 | 2 |
|---|
If the lists are sorted using Insertion sort then which of the lists List 1 or List 2 will make the minimum number of comparisons ? Justify using diagrammatic representation.
Answer
Diagrammatic representation of the sorting of List 1 and List 2 using Insertion sort is shown below:
From the diagrams, we can clearly see that List 1 requires no swaps, while List 2 requires multiple (10) swaps during the insertion sort process. Therefore, List 1 makes the minimum number of comparisons and swaps when sorted using insertion sort.
Related Questions
Consider a list of 10 elements:
numList = [7, 11, 3, 10, 17, 23, 1, 4, 21, 5].
Display the partially sorted list after three complete passes of Bubble sort.
Identify the number of swaps required for sorting the following list using selection sort and bubble sort and identify which is the better sorting technique with respect to the number of comparisons.
List 1 :
63 42 21 9 Write a program using user defined functions that accepts a List of numbers as an argument and finds its median. (Hint : Use bubble sort to sort the accepted list. If there are odd number of terms, the median is the center term. If there are even number of terms, add the two middle terms and divide by 2 get median)
All the branches of XYZ school conducted an aptitude test for all the students in the age group 14 - 16. There were a total of n students. The marks of n students are stored in a list. Write a program using a user defined function that accepts a list of marks as an argument and calculates the 'xth' percentile (where x is any number between 0 and 100). You are required to perform the following steps to be able to calculate the 'xth' percentile.
Note: Percentile is a measure of relative performance i.e. It is calculated based on a candidate's performance with respect to others. For example : If a candidate's score is in the 90th percentile, that means she/he scored better than 90% of people who took the test.
Steps to calculate the xth percentile:
- Order all the values in the data set from smallest to largest using Selection Sort. In general any of the sorting methods can be used.
- Calculate index by multiplying x percent by the total number of values, n. For example: to find 90th percentile for 120 students: 0.90 * 120 = 108.
- Ensure that the index is a whole number by using math.round().
- Display the value at the index obtained in Step 3.
The corresponding value in the list is the xth percentile.