Write a MIPS assembly program that asks a user to input a list of real numbers (represented as single precision floating point numbers) and then prints out the average and variance of those numbers. The program should first ask the user how many numbers they wish to enter and validate that this number is greater than 1. Assuming the user inputs n, then the program should perform n system calls to collect these numbers. Assuming the numbers are given by x1, x2, by: 18 = 1 n n, then the average and variance are given IM3 æk and 1 n var(x) = n - 1 (2kg) k=1 Note how the variance depends on first calculating the average. As an example, if the user specifies 4 numbers and then enters 1.0, 1.5, 2.5, and 3.0, then the average is (1.0 + 1.5 + 2.5 + 3.0) / 4 = 2.0. The variance is ((1.0 - 2.0)2 + (1.5 - 2.0)2 + (2.5 - 2.0)2 + (3.0 - 2.0)2) / 3 = (1 + 0.25 +0.25 + 1) / 3 = 2.5/3 = 0.83333. Hint: You can use an array to help store the numbers if you would like (although there is a more mathy way to calculate the variance without having to store the numbers).

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