Mean and standard deviation. Write a program that reads a set of floating-point

Chapter 4, Problem P4.17

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Mean and standard deviation. Write a program that reads a set of floating-point datavalues. 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, andthe standard deviation. The average of a data set {x1, . . ., xn} is x x n i = , where = x x + + x i 1 n is the sum of the input values. The stan dard deviation issx xni = ( ) 21However, this formula is not suitable for the task. By the time the program hascomputed x , the individ ual xi are long gone. Until you know how to save thesevalues, use the numerically less stable formulasx xni n i = ( ) 2 1 21You can compute this quantity by keeping track of the count, the sum, and the sumof squares as you process the input values.