(4) averages () #you have to determine the signature Description: Design and write a function called averages () which determines the mean, median, and mode for a list of numbers. The function returns a dictionary whose keys are "mean", "median", and "mode". You MUST use your find_mode () and find_median () functions from parts (1) and (2). Round to the nearest hundredth, as needed. The mean for an empty list is None. Parameters: (read the description carefully) Return value: (read the description carefully) Assumptions: The values in the list are in increasing (ascending) order. Examples: averages ([1,2,3,4,5,6,61) ➜ ('mean': 3.86, 'mode': [6], 'median': 4) averages ([3, 5, 7, 9, 10, 10, 33, 99, 222]) ➜ ('mode': [10], 'median': 10, 'mean': 44.22) averages ([11.3, 44.44, 47.66, 47.66, 101, 202, 908.21]) → 'mode': [47.66], 'median': 47.66, 'mean': 194.61) averages ([22]) → 'mode': [22], 'median': 22, 'mean':22) {

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**Averages() Function**

**Description:**  
Design and write a function called `averages()` which determines the mean, median, and mode for a list of numbers. The function returns a dictionary whose keys are "mean", "median", and "mode". You must use your `find_mode()` and `find_median()` functions from parts (1) and (2). Round to the nearest hundredth, as needed. The mean for an empty list is `None`.

**Parameters:**  
Read the description carefully.

**Return Value:**  
Read the description carefully.

**Assumptions:**  
The values in the list are in increasing (ascending) order.

**Examples:**  

- `averages([1, 2, 3, 4, 5, 6])`  
  ➔ `{'mean': 3.86, 'mode': [6], 'median': 4}`
  
- `averages([3, 5, 7, 9, 10, 33, 99, 222])`  
  ➔ `{'mode': [10], 'median': 10, 'mean': 44.22}`

- `averages([3, 44, 44, 47, 66, 101, 202, 908, 211])`  
  ➔ `{'mode': [47, 66], 'median': 47.66, 'mean': 194.61}`
  
- `averages([22])`  
  ➔ `{'mode': [22], 'median': 22, 'mean': 22}`
Transcribed Image Text:**Averages() Function** **Description:** Design and write a function called `averages()` which determines the mean, median, and mode for a list of numbers. The function returns a dictionary whose keys are "mean", "median", and "mode". You must use your `find_mode()` and `find_median()` functions from parts (1) and (2). Round to the nearest hundredth, as needed. The mean for an empty list is `None`. **Parameters:** Read the description carefully. **Return Value:** Read the description carefully. **Assumptions:** The values in the list are in increasing (ascending) order. **Examples:** - `averages([1, 2, 3, 4, 5, 6])` ➔ `{'mean': 3.86, 'mode': [6], 'median': 4}` - `averages([3, 5, 7, 9, 10, 33, 99, 222])` ➔ `{'mode': [10], 'median': 10, 'mean': 44.22}` - `averages([3, 44, 44, 47, 66, 101, 202, 908, 211])` ➔ `{'mode': [47, 66], 'median': 47.66, 'mean': 194.61}` - `averages([22])` ➔ `{'mode': [22], 'median': 22, 'mean': 22}`
**User Defined Functions and Recursion**

**Background**

The purpose of this programming task is to practice writing function definitions, using functions inside of other functions, and using recursion to solve complex problems.

**Restrictions**

Any function that violates the following is NOT allowed:

- You are not allowed to import anything.
- You are not allowed to use the global keyword, nor should you have any global variables. In other words, **do not** create any variables outside of a function definition.
- You are not allowed to use slicing (except for the 5th function `add_chars`).
- No built-in function except `round()`, `range()`, and `len()` is allowed.
- From list methods, you are allowed to use `.append()`, `.insert()`, `.remove()`, or `del`.
- From dictionary methods, you are allowed to use `.keys()`, `.values()`, `.items()`.

**Testing**

In addition to the examples in the tester file, you should also devise your own test cases for your code. Develop additional test cases, on your own, to make sure that you haven’t missed anything (empty lists, different-sized lists, etc.) and your code is correct. The goal is to keep your focus on writing correct code.

**Functions**

In this programming task, you will be writing and calling a handful of functions (five). From the description, you will generate the signature, and function body for each function. (The examples can give you hints about the signatures!)
Transcribed Image Text:**User Defined Functions and Recursion** **Background** The purpose of this programming task is to practice writing function definitions, using functions inside of other functions, and using recursion to solve complex problems. **Restrictions** Any function that violates the following is NOT allowed: - You are not allowed to import anything. - You are not allowed to use the global keyword, nor should you have any global variables. In other words, **do not** create any variables outside of a function definition. - You are not allowed to use slicing (except for the 5th function `add_chars`). - No built-in function except `round()`, `range()`, and `len()` is allowed. - From list methods, you are allowed to use `.append()`, `.insert()`, `.remove()`, or `del`. - From dictionary methods, you are allowed to use `.keys()`, `.values()`, `.items()`. **Testing** In addition to the examples in the tester file, you should also devise your own test cases for your code. Develop additional test cases, on your own, to make sure that you haven’t missed anything (empty lists, different-sized lists, etc.) and your code is correct. The goal is to keep your focus on writing correct code. **Functions** In this programming task, you will be writing and calling a handful of functions (five). From the description, you will generate the signature, and function body for each function. (The examples can give you hints about the signatures!)
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