QUESTIONS 1) Answer the following questions: A) Write the following requested commands (codes) regarding the defined list int list =[12,4,4,55,65,77,34,23,17] ;(25 %) a) The command to be printed on the screen; b) The command required to sort the list in increasing order (smallest to largest); c) The command required for reversal; d) The command required to add 10 element to the second index; e) The command required to print the length of the list; B) Write code using a method that computes the mean and variance of the following data data =[1,5,6,3,12,3] (write the method without using the library function mean and var o the NumPy module); (20s) C) Write a functional code that takes two inputs " x " and " y " as integer numbers and comput and prints their addition, subtraction, and multiplication as the outputs of the defined functions. (15s)

## Step 1: Understanding the Commands for List Operations<br />### We need to perform several operations on a list defined as `list = [12, 4, 55, 65, 77, 34, 23, 17]`. The tasks include printing the list, sorting it, reversing it, adding an element at a specific index, and printing its length.<br /><br />- **a) Print the list:** Use the command `print(list)` to display the list.<br />- **b) Sort the list in increasing order:** Use the command `list.sort()` to sort the list from smallest to largest.<br />- **c) Reverse the list:** Use the command `list.reverse()` to reverse the order of elements in the list.<br />- **d) Add 10 to the second index:** Use the command `list.insert(2, 10)` to add the number 10 at the second index (indexing starts from 0).<br />- **e) Print the length of the list:** Use the command `print(len(list))` to print the number of elements in the list.<br /><br />## Step 2: Calculating Mean and Variance Without Libraries<br />### We need to write code to compute the mean and variance of the data set `data = [1, 5, 6, 3, 12, 3]` without using NumPy functions.<br /><br />- **Mean Calculation:** <br /> - Sum all elements in the list: $1 + 5 + 6 + 3 + 12 + 3 = 30$.<br /> - Divide by the number of elements: $\frac{30}{6} = 5$.<br /> <br />- **Variance Calculation:**<br /> - Compute the squared differences from the mean: $(1-5)^2, (5-5)^2, (6-5)^2, (3-5)^2, (12-5)^2, (3-5)^2$ which are $16, 0, 1, 4, 49, 4$.<br /> - Sum these squared differences: $16 + 0 + 1 + 4 + 49 + 4 = 74$.<br /> - Divide by the number of elements: $\frac{74}{6} \approx 12.33$.<br /><br />## Step 3: Writing Functional Code for Arithmetic Operations<br />### Write a function that takes two integers `x` and `y`, and computes their addition, subtraction, and multiplication.<br /><br />```python<br />def arithmetic_operations(x, y):<br /> addition = x + y<br /> subtraction = x - y<br /> multiplication = x * y<br /> return addition, subtraction, multiplication<br /><br /># Example usage:<br />x = 5<br />y = 3<br />add, sub, mul = arithmetic_operations(x, y)<br />print("Addition:", add)<br />print("Subtraction:", sub)<br />print("Multiplication:", mul)<br />```