1.12. (a) Write a program to compute the mean w and standard deviation o of a finite sequence Xi. Your program should accept a vector x of dimen- sion n as input and produce the mean and stan- dard deviation of the sequence as output. For the standard deviation, try both the two-pass formula 1/2 - )? and the one-pass formula ----3-2 .-=-')" and compare the results for an input sequence of your choice. (b) Can you devise an input data sequence that dramatically illustrates the numerical difference between these two mathematically equivalent for- mulas? (Caution: Beware of taking the square root of a negative number.) 1.12. (a) Write a program to compute the mean w and standard deviation o of a finite sequence Xi. Your program should accept a vector x of dimen- sion n as input and produce the mean and stan- dard deviation of the sequence as output. For the standard deviation, try both the two-pass formula 1/2 - )? and the one-pass formula ----3-2 .-=-')" and compare the results for an input sequence of your choice. (b) Can you devise an input data sequence that dramatically illustrates the numerical difference between these two mathematically equivalent for- mulas? (Caution: Beware of taking the square root of a negative number.)