using C++ (Statistics: compute deviation ) Programming Exercise 5.47 computes the stand-ard deviation of numbers. This exercise uses a different but equivalent formula to compute the standard deviation of n numbers. mean = a ni = 1 x i n = x 1 + x 2 + c + x n n deviation = H a ni = 1 ( x i - mean ) 2 n - 1To compute deviation with this formula, you have to store the individual numbers using an array, so that they can be used after the mean is obtained. Your program should contain the following functions: // Compute the mean of an array of double values double mean( const double x[], int size) // Compute the deviation of double values double deviation( const double x[], int size) Write a test program that prompts the user to enter 10 numbers and displays the mean and deviation, as shown in the following sample run: