Explain bubble sort algorithm and simulate it for the following data 35, 33, 42, 10, 14, 19, 27, 44. What sort algorithm will you apply and justify your data to be sorted using that algorithm from the following data 35, 33, 42, 10, 14, 19, 27, 44.

Bubble Sort Algorithm Explanation:

Bubble sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order. The pass through the list is repeated until the list is sorted.

The algorithm gets its name from the way smaller or larger elements "bubble" to the top of the list. Although the algorithm is simple, it is not efficient for large lists, and for this reason, it is not used often for large data sets.

Here are the steps of the Bubble Sort algorithm:

1. Compare the first and the second element of the list and swap them if they are in wrong order.
2. Move on to the next pair of elements, compare their values and swap them if required.
3. Continue this process until the end of the list.
4. Repeat the steps from the beginning until no more swaps are needed.

Let's simulate Bubble Sort for the given data: 35, 33, 42, 10, 14, 19, 27, 44.

First Pass:

• (35, 33, 42, 10, 14, 19, 27, 44) -> (33, 35, 42, 10, 14, 19, 27, 44), Here, algorithm compares the first two elements, and swaps them.
• (33, 35, 42, 10, 14, 19, 27, 44) -> (33, 35, 42, 10, 14, 19, 27, 44), Swap not needed
• (33, 35, 42, 10, 14, 19, 27, 44) -> (33, 35, 10, 42, 14, 19, 27, 44), Swap needed
• (33, 35, 10, 42, 14, 19, 27, 44) -> (33, 35, 10, 14, 42, 19, 27, 44), Swap needed
• (33, 35, 10, 14, 42, 19, 27, 44) -> (33, 35, 10, 14, 19, 42, 27, 44), Swap needed
• (33, 35, 10, 14, 19, 42, 27, 44) -> (33, 35, 10, 14, 19, 27, 42, 44), Swap needed
• (33, 35, 10, 14, 19, 27, 42, 44) -> (33, 35, 10, 14, 19, 27, 42, 44), Swap not needed

Now, the largest number 44 is at the end of the list.

We then move to the second pass, and so on, until the entire list is sorted.

Choosing a Sorting Algorithm:

When choosing a sorting algorithm, it's important to consider the size of the data set and the nature of the data. For small data sets, bubble sort or insertion sort can be efficient, but for larger data sets, more efficient algorithms like quicksort, mergesort, or heapsort are more suitable.

Given the data set 35, 33, 42, 10, 14, 19, 27, 44, since it's a small data set, we can use bubble sort. However, if we know that this data set is part of a larger data set or will grow in the future, it would be better to choose a more efficient algorithm like quicksort or mergesort.

In conclusion, the choice of sorting algorithm depends on the specific requirements of the problem, including the size of the data set, the nature of the data, and the resources available.