Using Python

Write a program to compute the mean and standard deviation o of a finite sequence 2;. Your program should accept a vector 2 of dimension n as input and produce the standard deviation of the sequence as output. For the standard deviation, try both the two-pass formula 1 1/2 and the one-pass formula and compare the results for an input sequence of your choice. Then, devise an input data sequence that dramatically illustrates the numerical difference between these two mathematically equivalent formulas. (Caution: Beware of taking the square root of a negative number, which might happen in the one-pass formula.) Problem Credits: Computer Problem 1.12 from "Scientific Computing: An Introductory Survey" by Michael T. Heath Your code snippet should define the following variables: Name sequence var_seq_tp var_seq_op |bad_sequence Type 1D numpy array float float 1D numpy array Description first sequence, at least size 10 result of using the two pass formula on sequence result of using the one pass formula on sequence sequence that leads to different results, at least size 10 Write a program to compute the mean and standard deviation o of a finite sequence 2;. Your program should accept a vector 2 of dimension n as input and produce the standard deviation of the sequence as output. For the standard deviation, try both the two-pass formula 1 1/2 and the one-pass formula and compare the results for an input sequence of your choice. Then, devise an input data sequence that dramatically illustrates the numerical difference between these two mathematically equivalent formulas. (Caution: Beware of taking the square root of a negative number, which might happen in the one-pass formula.) Problem Credits: Computer Problem 1.12 from "Scientific Computing: An Introductory Survey" by Michael T. Heath Your code snippet should define the following variables: Name sequence var_seq_tp var_seq_op |bad_sequence Type 1D numpy array float float 1D numpy array Description first sequence, at least size 10 result of using the two pass formula on sequence result of using the one pass formula on sequence sequence that leads to different results, at least size 10