Concepts tested in this program: Variables Input/output Mathematical operators Mathematical statements Conditional statements (if-then statements) loops **5.45 Statistics: compute mean and standard deviation In business applications, you are often asked to compute the mean and standard deviation of data. The mean is simply the average of the numbers. The standard deviation is a statistic that tells you how tightly all the various data are clustered around the mean in a set of data. For example, what is the average age of the students in a class? How close are the ages? If all the students are the same age, the deviation is 0. Write a program that prompts the user to enter ten numbers, and displays the mean and standard deviations of these numbers using the following formula: mean is = (x1+x2+g+xn ) / n and the standard deviation is the regular / standard formula Here is a sample run of the program: Sample 1: Enter numbers: 1 2 3 4.5 5.6 6 7 8 9 10 The mean is 5.61 The standard deviation is 2.99794 Sample 2: Enter a number: 55 Enter a number: 60 Enter a number: 75.66 Enter a number: 81.2 Enter a number: 90.55 Enter a number: 100.1 Enter a number: 66.69 Enter a number: 75.5 Enter a number: 88.88 Enter a number: 99.99 The mean is 79.357 The standard deviation is 15.749124173179341