Explanation:

To understand why the element in the lowest level of the binary search tree (BST) is 67, we need to understand how the elements are inserted in a BST.

Binary Search Tree:
A binary search tree is a binary tree in which each node has a key greater than all the keys in its left subtree and smaller than all the keys in its right subtree. This property allows for efficient searching, insertion, and deletion operations.

Insertion in Binary Search Tree:
To insert an element in a binary search tree, we compare the key of the element with the key of the current node. If the key is smaller, we go to the left subtree; if the key is greater, we go to the right subtree. We continue this process until we find an empty location where the new element can be inserted.

Given Sequence:
The elements 71, 65, 84, 69, 67, 83 are inserted in an empty binary search tree in the given sequence.

Step 1: Insert 71
- Since the tree is empty, 71 becomes the root of the tree.

Step 2: Insert 65
- Compare 65 with the root (71).
- 65 is smaller than 71, so we go to the left subtree.
- Since the left subtree is empty, 65 becomes the left child of the root.

Step 3: Insert 84
- Compare 84 with the root (71).
- 84 is greater than 71, so we go to the right subtree.
- Since the right subtree is empty, 84 becomes the right child of the root.

Step 4: Insert 69
- Compare 69 with the root (71).
- 69 is smaller than 71, so we go to the left subtree.
- Compare 69 with the left child (65).
- 69 is greater than 65, so we go to the right subtree.
- Since the right subtree is empty, 69 becomes the right child of 65.

Step 5: Insert 67
- Compare 67 with the root (71).
- 67 is smaller than 71, so we go to the left subtree.
- Compare 67 with the left child (65).
- 67 is greater than 65, so we go to the right subtree.
- Compare 67 with the right child (69).
- 67 is smaller than 69, so we go to the left subtree.
- Since the left subtree is empty, 67 becomes the left child of 69.

Step 6: Insert 83
- Compare 83 with the root (71).
- 83 is greater than 71, so we go to the right subtree.
- Compare 83 with the right child (84).
- 83 is smaller than 84, so we go to the left subtree.
- Since the left subtree is empty, 83 becomes the left child of 84.

Final Binary Search Tree:
```
71
/ \
65 84
\ /
69 83
\
67
```

Element in the Lowest Level:
The lowest level of a