II. Problem Statement Write a Python program to calculate the arithmetic mean, variance, standard deviation and the range for any dataset. The number of data points in the dataset can be any mumber and has to be greater than 2 to avoid geting in diviston by zero enor when you calculate the variance s2=n1i=1n(yty)2 - Document the program and what it does using remarks. - Your prograus sliould te able to haudle any number of input values - Ask the user to enter the mumber of measurements, The sample variance is usually denoted by s2. The standand deviation of a set of measurements - If the user enters mumber of data points that are less than two, your program should is defined to be the positive square root of the variance. Therefore, - Iaput the mensurements into the program using an efficient input statenseat and a definite s=2s2 - Store the input data into a Python list. - Use the equations preseated in the background materials to calculate the menn, the variance, the standard deviation, and the range. The range is also considered a meaure of variability aad it is calculated the difference betweea the maxiumum and - Fonmat your informational header, inpea and output the same as shown on the nex page. the minimum: - Sabeair your proeram saved with py exdeasjoe before the due date. Range = maximum - minimum - Don't use any libraries, you are programuning the equations shown above. You can load the math lubrary. B. Input/ Output II This is what happens if you enter 1 for the "Enter the Number of Data Points: "prompt: ... Thia Dython Drogram calculates the Average, the Variance, the standard Deviation and the Range for a set of measurements. The program requests the user to input the number of measurements. Fhen the user is asked to enter the data points one at a tiae. The data points or measurements are then stored into a list [ 1 of size n, in whihch n is the number of data points entered earlier in the input statement. A. Input / Output I The program then calculates the average, the variance, the standard deviation and the range by utilizing Dython's List operations Program Input Outpat should look like this for the given set of data: *. This Python Program calculates the Average, the Variance, the seandard Deviaeion and the Range for a set of measurenents. The program requests the user to input the number of aeasurenents. Then the user is asked to enter the data points one at a time. The data points or measurements are then stored lnto a list [ 1 of sige n, in whihch n is the number of data points entered earlier in the input statement. The program then calculates the average, the variance, the standard deviation and the range by ueilizing Dython" I Ist operationa Enter the Namber of Daca Points: ? Enter the 7 Data Points One at a time and Press Enter> to Enter the Next Value: Enter the next Data Doint and Fress Enter>? Enter the next Data Point and Press Enter the next Data point and preas Enter the next Data point and prese cEnter? Enter the next Data Point and Press Enter the next Data Point and Prese KEnter?; 36 Tnpat Data Points: [8.0,12.0,45.0,26.0,22.0,45.0,36.0] Number of Data points =7 The Average =27.71, The Variance =222.9, The st. Dev, =14.93, The Range = 37.0 Enter the Number of Data Pointsi 1 please zry Again Tnter the vumber of Data foints: 1 Please Try Again Enter the Number of Data Points: 0 . Dlease Fry Again Enter the sfueber of Data points: 1 Please 7ry Agair Enter the Number of Data Points: 100 Dlease Fry Again Enter the Number of Data Doints: 0 please zry Agaif Inter the Nhamber of Data pointa: 1 please Try Again Enter the Number of Data Pointsi 3 Tnter the 3 bata pointa one at a tine and preses centers to Enter the vext value: Dress Enter> Exit Drogram