Write a program that takes its input from a text file of strings representing numbers of t...

Write a program that takes its input from a text file of strings representing numbers of type double. The program outputs to the screen the average and standard deviation of the numbers in the file. The file contains nothing but strings representing numbers of type double, one per line. The standard deviation of a list of numbers n1, n2, n3 and so forth is defined as the square root of the average of the following numbers:

The number a is the average of the numbers n1,n2, n3, and so forth. Hint: Write your program so that it first reads the entire file and computes the average of all the numbers, then closes the file, then reopens the file and computes the standard deviation. You will find it helpful to first do Programming Project 3 and then modify that program to obtain the program for this project.