Write a program that takes its input from a text file of strings representing numbers of type double. This program should take input from the user specifying the name of a file containing decimal numbers, and should output the average and standard deviation of the numbers in the file. First, calculate the average (sum all the doubles, then divide the result by the number of doubles. Then, calculate the standard deviation as follows: Sum the squares of each number divided y the average of all numbers. (n1 / average)2 (n2 / average)2 (n3 / average)2 ... Divide the result by the number of doubles in the file Finally, take the square root of this number. This is the standard deviation. Your program's output should look as follows:. Count: [number of doubles in the file] Average: (average of the doubles in the file) Standard deviation: (standard deviation of the numbers in the file]