RMS Average. The root-mean-square (rms) average is another way of calculating a mean for a set of numbers. The ms average of a series of numbers is the square root of the arithmetic mean of the squares of the numbers $$ \text { rms average }=\sqrt{\frac{1}{N} \sum_{\eta=1}^{N} x_{\eta}{ }^{2}} $$ Write a MATLAB program that will accept an arbitrary number of positive input values and calculate the rms average of the numbers. Prompt the user for the number of values to be entered, and use a for loop to read in the numbers. Test your program by calculating the rms average of the four numbers \(10,5,2\), and 5 .

To calculate the root-mean-square (rms) average of a set of numbers in MATLAB, follow these steps: 1. Prompt the user for the total number of values to be entered: `num_values = input('Enter the number of values to calculate the rms average for: ');`. 2. Initialize the sum of the squares of the numbers: `sum_of_squares = 0;`. 3. Use a for loop to read in the numbers and sum their squares: ```MATLAB for i = 1:num_values curr_number = input(['Enter positive number ' num2str(i) ': ']); sum_of_squares = sum_of_squares + curr_number^2; end ``` 4. Compute the rms average of the numbers: `rms_average = sqrt(sum_of_squares / num_values);`. 5. Display the rms average: `disp(['The rms average of the given numbers is: ', num2str(rms_average)]);`. Upon testing the program with the given numbers (10, 5, 2, and 5), the rms average is found to be approximately \(6.2048\).