CE 106 Computer Project Number 3: Determining Statistics of Scores using Matlab, Study Guides, Projects, Research of Civil Engineering

Download CE 106 Computer Project Number 3: Determining Statistics of Scores using Matlab and more Study Guides, Projects, Research Civil Engineering in PDF only on Docsity! CE 106 – Computer Project Number 3 Due On or Before Wednesday, November 5, 2008 Given a set of of data in the file, scores.dat, write 3 versions of Matlab programs to determine, (1) N , the total number of scores. (2) The average of the scores, µ = 1 N N∑ i=1 xi . (3) The standard deviation of the scores, σ = √√√√ 1 N − 1 [ N∑ i=1 x2i − 2µ N∑ i=1 xi + Nµ2 ] (4) The skewness coefficient of the scores, θ = 1 Nσ3 [ N∑ i=1 x3i − 3µ N∑ i=1 x2i + 3µ 2 N∑ i=1 xi − Nµ3 ] Test your program with scores.dat, available by copying it directly using the UNIX command aludra.usc.edu(1): cp ˜ce108/scores.dat scores.dat The answers should be N = 49; µ = 74.594; σ = 11.924 and θ = −0.492. The 3 versions of the program should all produce the same answers, the versions are • Use standard matlab function sum for calculation. • Use matrix products to obtain the sums. • Use traditional loop structure to obtain the sums.