You may using MATLAB

1. Show ALL your work!!! 2. Submit ALL your program(s) along with your solutions(including results and graphs).

Evaluation is based on the work you submitted. 1. Suppose that the length and width for 18 wheat kernals are measured and recorded below: 1.( length: 5.099 width 2.9360000000000004.) 2(.length: 5.325, width 2.701) 3.(length: 5.263, width: 2.84 4( length:6.563, width: 3.991) 5.(length:5.279, width:2.687) 6.(length:5.4129999999999985, width: 2.716) 7.( length: 5.978, width:3.594) 8.( length:5.872000000000001,width:3.472) 9.(length:6.183,width:3.902) 10.(length: 5.105, width: 2.9410000000000003) 11.( length:5.176, width:2.719) 12. (length:5.314, width:2.777) 13.(length:5.2360000000000015, width:2.975) 14.( length: 5.09, width :2.715) 15.(length:6.303, width: 3.791) 16( length :5.204, width:2.96) 17.( length;5.477, width: 3.465)

18.( length :5.9270000000000005, width:3.438) (a) Calculate the mean, median, standard deviation of length. Comment on your calculation.

(b) Draw the boxplot for length and width.

Comment on your graph.

(c) Draw a scatter plot and a q-q plot based on these two variables.

Comment on your graph.

(d) Can you find (roughly) the first quartile (Q1) and the third quartile (Q3) of length? (e) How is a q-q plot different from a quantile plot? (f) Calculate the correalation coefficient (Pearson's product moment coefficient). What is the correlation between two attributes? (g) Normalize the length based on zscore normalization. (h) Normalize the length by zscore normalization using mean absolute deviation instead of standard deviation. (i) Comment on the methods you used in (g) and (h).