1. Implement a container class Stat that stores a sequence of numbers and provides statistical information about the numbers. It supports an overloaded constructor that initializes the container either by supplying a list or by giving no arguments (which creates an empty sequence). The class also includes the methods necessary to provide the following behaviors:

>>> s = Stat()

>>> s.add(2.5)

>>> s.add(4.7)

>>> s.add(78.2)

>>> s

Stat([2.5, 4.7, 78.2])

>>> len(s)

3

>>> s.min()

2.5

>>> s.max()

78.2

>>> s.sum()

85.4

>>> s.mean()

28.46666666666667

>>> s.clear()

>>> s

Stat([])

If a Stat is empty, several (but not all) methods raise errors. Note that you wont literally see . You will instead see more information on the error.

>>> s = Stat()

>>>

>>> len(s)

0

>>> s.min()

Traceback (most recent call last):

...

EmptyStatError: empty Stat does not have a min

>>> s.max()

Traceback (most recent call last):

...

EmptyStatError: empty Stat does not have a max

>>> s.mean()

Traceback (most recent call last):

...

EmptyStatError: empty Stat does not have a mean

>>> s.sum()

0

2. Implement a class intlist which a list that stores only integers. You MUST subclass list. Please note the following:

• constructor can be passed a list of ints, or, by default constructs an empty intlist.
• append, insert,extend can also be used to add ints to an intlist. If you dont know how extend works for a list, look it up. All should raise errors if a non-int is added.
• __setitem__ - can be used for item assignment using an index. Raises error if non-int is used.
• odds() write a method odds() which returns an intlist consisting of the odd ints. They should not be removed from the original.
• evens() same as odds(), but for even ints
• NotIntError also write an Exception class NotIntError that subclasses Exception.
• NotIntError a NonIntError should be raised when client code attempts to place something other than an int in an intlist. This can happen in three ways (all shown in code below):
  • append
  • insert
  • The constructor when passed a list that contains something other an int
  • Note: you can check whether item is an int by evaluating the expression type(item)==int

Your goal is to get the following behavior:

>>> il = intlist()

>>> il

intlist([])

>>> il = intlist([1,2,3])

>>> il

intlist([1, 2, 3])

>>> il.append( 5 )

>>> il

intlist([1, 2, 3, 5])

>>> il.insert(1,99)

>>> il

intlist([1, 99, 2, 3, 5])

>>> il.extend( [22,44,66] )

>>> il

intlist([1, 99, 2, 3, 5, 22, 44, 66])

>>> odds = il.odds()

>>> odds

intlist([1, 99, 3, 5])

>>> evens = il.evens()

>>> evens

intlist([2, 22, 44, 66])

>>> il

intlist([1, 99, 2, 3, 5, 22, 44, 66])

>>> il[2] = -12 # calls __setitem__

>>> il

intlist([1, 99, -12, 3, 5, 22, 44, 66])

>>> il[4] # calls __getitem__

5

Trying to put anything except for an int into an intlist will always raise an NotIntError. Note that there 5 different ways this could be attempted:

>>> il.append(33.4)

Traceback (most recent call last):

...

NotIntError: 33.4 not an int

>>> il.insert(2,True)

Traceback (most recent call last):

...

NotIntError: True not an int

>>> il = intlist([2,3,4,"apple"])

Traceback (most recent call last):

...

NotIntError: apple not an int

>>> il.extend( [2,3,'hello'])

Traceback (most recent call last):

...

NotIntError: hello not an int

>>> il[2] = 22.3

Traceback (most recent call last):

...

NotIntError: 22.3 not an int