Snoop around on the web and figure out how the set data typeworks. Explain and exemplify.

A set in programming, specifically in Python, is a collection data type that is unordered and unindexed. Sets are written with curly brackets and they have unique elements (duplicates are not allowed).

Here is how it works:

1. Creating a Set: You can create a set in Python by placing comma-separated values inside curly brackets {}. For example:

fruits = {"apple", "banana", "cherry"}
print(fruits)

This will output: {'apple', 'banana', 'cherry'}

2. Accessing Items: You cannot access items in a set by referring to an index or a key. But you can loop through the set items using a for loop, or ask if a specified value is present in a set, by using the in keyword. For example:

fruits = {"apple", "banana", "cherry"}
for x in fruits:
  print(x)

This will print each item in the set.

3. Adding Items: To add one item to a set use the add() method. To add more than one item to a set use the update() method. For example:

fruits = {"apple", "banana", "cherry"}
fruits.add("orange")
print(fruits)

This will output: {'apple', 'banana', 'cherry', 'orange'}

4. Removing Items: To remove an item in a set, use the remove(), or the discard() method. For example:

fruits = {"apple", "banana", "cherry"}
fruits.remove("banana")
print(fruits)

This will output: {'apple', 'cherry'}

Remember, sets are unordered, so the items will appear in a random order, and not in the order you have written them.