Problem 2 (from the textbook). . P4.2 Mean and standard deviation. Write a program that reads a set of floating-point data values. Choose an appropriate mechanism for prompting for the end of the data set. When all values have been read, print out the count of the values, the average, and the standard deviation. The average of a data set (x 1, ..., x,) is* =Ex; , where Ex; =x1+ .+ X, is the sum of the input values. The standard deviation is S = n - 1 However, this formula is not suitable for the task. By the time the program has computed , the individual x, are long gone. Until you know how to save these values, use the numerically less stable formula S = n - 1 You can compute this quantity by keeping track of the count, the sum, and the sum of squares as you process the input values. Notes: 1. The standard deviation computed according to these formulas is called the "sample standard deviation," i.e. an estimate for the true standard deviation computed with the assumption that the datapoints x(i) are random samples. If the datapoints represent the complete populations, then the denominator should be n, not n-1