Q1. Thirty pairs of values of two variable X and Y are given below. Form a bivariate frequency table using relative frequencies. X 110 88 91 115 97 85 85 91 120 95 Y 500 800 870 599 625 650 905 700 850 824 X 82 105 99 90 108 124 90 90 111 89 Y 970 609 990 735 600 735 729 940 999 780 X 112 100 87 92 91 82 96 120 121 122 Y 638 850 630 720 695 923 555 810 805 528 (5 marks) i. Find the marginal frequency distribution of X and Y (5 marks) ii. Draw a histogram to represent the marginal distribution of Y (5 marks) iii. Find the 2nd quintile of the marginal distribution of Y. (5 marks) Q2. Soil temperature (x, in c ) and germination interval ( y, in days ) were observed for winter wheat at 10 localities as illustrated below. 12.5 5.0 3.0 5.0 6.5 6.0 4.0 7.0 5.5 4.0 yi 10 26 41 29 27 19 18 20 28 33 i. Find the correlation coefficient between x and y (5 marks) ii. Draw a scatter diagram representing x and y